ELENCO DELLE PUBBLICAZIONI DI
GIOVANNI GALLAVOTTI https://www.roma1.infn.it/~gallavot/index.html

1 Statistical Mechanics of lattice systems, Communications in Mathematical Physics: 5, 317--323, 1967, (S.Miracle--Sole').
2 Correlation functions of a lattice system, Communications in Mathematical Physics: 7, 274--288, 1967, (S.Miracle--Sole').
3 Analyticity properties of a lattice gas, Physics letters: 25A, 493--494, 1967, (S.Miracle--Sole', D.Robinson).
4 A variational principle for equilibrium of hard sphere systems, Annales de l'Institut Henry Poincare': 8, 287--299, 1968, (S.Miracle--Sole').
5 On the mechanical equilibrium equations, Il Nuovo Cimento, 57B, 208-211, 1968.
6 Analyticity properties of the anisotropic Heisenberg model, Communications in Mathematical Physics, 10, 311--324, 1968, (S.Miracle--Sole', D.Robinson).
7 Absence of phase transitions in one dimensional systems with hard core, Physics letters, 26, 350--351, 1968, (S.Miracle-- Sole', D.Ruelle).
8 On the cluster properties above the critical temperature in lattice gases, Communications in Mathematical Physics, 12, 269-- 274, 1969, (Miracle--Sole').
9 Divergences and approach to equilibrium in the Lorentz and the Wind--tree--models, Physical Review, 185, 308--322, 1969.
10 High temperature properties of random spin systems, Journal of Mathematical Physics: 11, 141--146, 1970.
11 Absence of phase transitions in hard core one--dimensional systems with long range interactions, Journal of Mathematical Physics: 11, 147--154, 1970, (S.Miracle--Sole').
12 Thermodynamic limit of time--dependent correlation functions for one--dimensional systems, Journal of Mathematical Physics: 11, 2898--2905, 1970, (O. Lanford, J.Lebowitz).
13 One dimensional lattice gases with rapidly decreasing interactions , Archive for Rational Mechanics and Analysis: 37, 181--191, 1970, (T.F. Lin).
14 A proof of the second Griffiths' inequality for the X--Y model, Studies in Applied Mathematics: 50, 89--92, 1971.
15; Thermalization of a magnetic impurity in the isotropic X--Y model, Physical Review letters: 25, 1449--1450, 1970, (D.Abraham, E.Barouch, A.Martin--Lof).
16 Time evolution problems in Classical Statistical Mechanics and the Wind--tree--model, in "Cargese Lectures in Physics", vol. IV, ed.D.Kastler, Gordon Breach, Paris, 1970, pp.257--275.
17 Boundary conditions for the heat equation, ed. Ateneo, Roma, 1970; also printed in a different form in Nagoya Journal of Mathematics (see 30 below), pp: 1--48, (H.P.Mc Kean).
18 Statistical Mechanics of the electron--phonon system, Lettere al Nuovo Cimento: 4, 1293--1297, 1970, (J.Ginibre, G.Velo).
19 Phase transitions in binary lattice gases , Journal of Mathematical Physics: 12, 1129--1133, 1971, (J.Lebowitz).
20 Dynamics of a local perturbation in the X--Y model (I), Studies in Applied Mathematics: 50, 121--131, 1971, (D.Abraham, E.Barouch, A.Martin-Lof).
21 Surface tension in the Ising model, Lettere al Nuovo Cimento, 2, 143--146, 1971, Sommario, (D.Abraham, A.Martin--Lof).
22 Boundary conditions and Correlation Functions in the $\nu$--dimensional Ising model at low temperature, Communications in Mathematical Physics, 23, 275--284, 1971.
23 Surface tension in the Ising Model, Communications in Mathematical Physics: 25, 87--126, 1972, (A.Martin--Lof).
24 Equilibrium states of the Ising Model in the Two-phases Region, Physical Review, B 5, 2555--2559, 1972, (S.Miracle--Sole').
25 Dynamics of a local perturbation in the X--Y model (II), Studies in Applied Mathematics: 51, 211--218, 1972, (D. Abraham, E.Barouch, A.Martin--Lof).
26 Alcuni risultati rigorosi in Meccanica Statistica e loro applicazioni alla fenomenologia delle transizioni di fase, invited talk at the meeting of the italian Physical Society, Internal report of the Physics Department of the University of Rome, Nota interna n. 347, 1971, pp. 1--16.
27 Instabilities and Phase Transitions in the Ising Model, La Rivista del Nuovo Cimento: 2, 133--169, 1972.
28 Dense sums, Annales de l'Institut Henry Poincar\'e: 17, 195--219, 1972, (G.Fano).
29 The Phase separation line in the two---dimensional Ising model and its relationships with the non--free random walk problem, Lettere al Nuovo Cimento, 4, 699--703, 1972, (H.Van Beyeren).
30 Boundary conditions for the heat equation in a several dimensional region, Nagoya Mathematical Journal: 47, 1--14, 1972, (H.P.Mc Kean).
31 Phase separation line in the two--dimensional Ising model, Communications in Mathematical Physics, 27, 103--136, 1972.
32 Some problems connected with the phase separation in the Ising model at low temperature, in Lecture notes in Physics, vol. 20, ed. A.Lenard, Springer Verlag, Berlin, 1973, pp.162--204. (A.,Martin--Lof, S.Miracle--Sole').
33 On the Onsager--Yang value of the spontaneous magnetization, Communications in Mathematical Physics, 30 45--54, 1973, (G.Benettin, G.Jona--Lasinio, A.Stella).
34; Exsitence and uniqueness of equilibrium states for some spin and continoum systems, Communications in Mathematical Physics, 32, 153--165, 1973, (M.Cassandro, J.Lebowitz, E.Monroe).
35 Ising model and Bernoulli shifts, Communications in Mathematical Physics, 32, 183--190, 1973.
36 Some remarks on Ising spin systems, Physica, 70, 219--221, 1973, (J.Lebowitz).
37 Surface tension in the two--dimensional Ising model, Physica, 65, 73--88, 1973, (D.Abraham, A.Martin--Lof).
38 Modern theory of the billiards. An introduction, in Global Analysis and its applications, vol. II, ed. P. De la Harpe, International Atomic Energy Commission, Vienna, 1974, p. 193--202.
39 Markov processes, Bernoulli schemes and Ising model, Communications in Mathematical Physics: 33, 259--282, 1973, (F.Diliberto, L.Russo).
40; On the calculation of an integral, Journal of Mathematical Analysis and applications, 44, 661--675, 1973, (C.Marchioro).
41; Rigorous theory of the Boltzmann equation in the Lorentz model, Nota interna n. 358, Physics Department, Universita' di Roma, 10 febbraio 1972, pp.1--9, Per il libro "Fisica statistica" ed. E. Velarde, Madrid (non pubblicato). Archiviato nell' archivio elettronico: $\tt https://www.ma.utexas.edu/mp_arc-bin/mpa?yn=93-304, #93-304. Pubblicato nel libro "Statistical Mechanics", see #169 below.
42; Billiards and Bernoulli schemes, Communications in Mathematical Physics: 38, 83--101, 1974, (D.Ornstein).
43; Block spins interactions in the Ising model, Communications in Mathematical Physics, 36, 171--184, 1974, (H.Knops).
44; The Lavoisier law and the critical point, Il Nuovo Cimento, 25B, 691--705, 1975. (M.Cassandro).
45; Block spin distributions for short range attractive Ising models, Il Nuovo Cimento, 25B, 425--441, 1975, (A.Martin--Lof).
46; Conservation laws in the hierarchical model, Physica, 78, 541--543, 1974. (H.Knops, H.Van Beyeren).
47; Approximate symmetries and their spontaneous breakdown (pdf), , (djvu), Annales de l'Institut Henri Poincare': 22, 159--172, 1975, (R. Esposito).
48; On the classical KMS boundary condition, Il Nuovo Cimento, 28B, 274--286, 1975, (E.Verboven).
49; Limit theorems for multidimensional Markov processes, Communications in Mathematical Physics: 41, 301--307, 1975, (G.Jona--Lasinio).
50; The hierarchical model and the renormalization group, La Rivista del Nuovo Cimento: 5, 341--368, 1975, (H. Knops).
51; Lectures on the billiard", in "Lecture notes in Physics, vol. 38, ed. J.Moser, Springer Verlag, 1975, pp. 236--295.
52; Classical KMS condition and Tomita--Takesaki theory, Communications in Mathematical Physics: 46, 1--9, 1976, (M.Pulvirenti).
53; Problemi ergodici in Meccanica Classica, Quaderni del Consiglio Nazionale delle Ricerche, redatti da S. Graffi, Bologna, 1976, pp.1--81.
54; Stability and equilibrium states of infinite classical systems, Communications in Mathematical Physics: 48, 1--14, 1976. (M. Aizenman, J. Lebowitz, S.Goldstein).
55; Operatore di Liouville e soluzioni statistiche delle equazioni di Hamilton, Annali di Matematica pura e applicata, 108, 227-- 238, 1976.
56; Classical KMS condition and Tomita--Takesaki theory, in Asterisque, vol. 40, Societe' Mathematique de France, 1976, pp. 89--94.
57; Alcuni problemi ed idee della teoria ergodica, Bollettino Unione Matematica Italiana: 13A, 534--544, 1976.
58; Probabilistic aspects of critical fluctuations, in Lecture notes in Physics, vol. 54, ed. J.Brey--R.B. Jones, Springer-- Verlag, 1976, pp. 250--273.
59; Bernoulli schemes and their isomorphisms, in Proceedings of the International School in Mathematical Physics, ed. Istituto di Matematica dell'Universita' di Camerino, Camerino, 1976, pp. 38--58.
60; Zeta functions and basic sets, Rendiconti dell'Accademia Nazionale dei Lincei: 51, 509--517, 1977. (English translation of original "Funzioni zeta ed insiemi basilari")
61; Some aspects of the renormalization problems in Statistical Mechanics and field theory, Memorie dell' Accademia Nazionale dei Lincei: 15, 23--59, 1978.
62 A comment on the talk by E. Seiler, in Mathematical Problems in Theoretical Physics, ed. G. Dell'Antonio, S. Doplicher, G. Jona--Lasinio, Lecture notes in Physics, Springer--Verlag, vol. 80, p. 436--438, 1978, (F. Guerra, S. Miracle--Sol\'e).
63; On the ultraviolet stability in Statistical Mechanics and field theory, Annali di Matematica pura ed applicata: (IV), vol. CXX, 1--23, 1979.
64; Some probabilistic techniques in field theory, Communications in Mathematical
Physics: 59, 143--166, 1978. (G.Benfatto, M.Cassandro, F.Nicolo', E.Olivieri, E.Presutti, E.Scacciatelli).

65; The exponenial interaction in $R^d$, Physics Letters, 83B, 177-- 178, 1979. (S. Albeverio, -- R.Hoeg--Khron).
66; Some results for the exponential interaction in two or more dimensions, Communications in Mathematical Physics: 70, 187--193,1979. (S. Albeverio R.Hoeg--Khron).
67; Elliptic equations and gaussian processes, Journal of Functional Analysis, 36, 343--400, 1980, Sommario (G.Benfatto, F.Nicolo').
68;
Ultraviolet stability in Euclidean Field Theories, Communications in Mathematical Physics, 71, 95--130, 1980, (G.Benfatto, M.Cassandro, F.Nicolo', E.Olivieri, E.Presutti, E.Scacciatelli).
69; The stability problem in scalar field theories, ed. L.Streit, p.408--444, Springer-Verlag, Wien-New York, 1980.
70; Meccanica Elementare, ed. P.Boringhieri, p. 1--501, Torino, 1980.
71; On the massive Sine--Gordon equation in the collapse region, Communications in Mathematical Physics, 83, 382--410, 1982, (G.Benfatto,F.Nicolo').
72; Some problems in hamiltonian Perturbation Theory, Rendiconti del Seminario Matematico dell'Universita' e del Politecnico di Torino, 1, 107--118, 1982.
73; Quelques remarques sur la non existence des integrales uniformes pour les systemes hamiltoniens quasi integrables, G.M.E.L.,"Actualites Mathematiques, Actes du 6me congres des mathematiciens de langue latine", Gauthiers--Villars ,Paris, 1982, pp.153--166, ed. P.Pier.
74; Elliptic operators and gaussian processes, in Colloques internationaux du Centre National de la Recherche scientifique, no. 307, (Saint Flour,22--29 juin 1980), p.349--360.
75; Aspetti della Teoria Ergodica Qualitativa e Statistica del Moto, Quaderno U.M.I., no. 21, ed. Pitagora, Bologna, 1982, p.1--300.
76; Smooth prime integrals in quasi integrable systems, Il Nuovo Cimento, 67B, 277--297, 1982, (L.Chierchia).
77; A criterion of integrability for perturbed harmonic oscillators. Wick ordering in Classical Mechanics, Communications in Mathematical Physics, 87, 365--383, 1982.
78; The Dirichlet problem and the Perron--Frobenius theorem, Bollettino Unione Matematica Italiana, (6), 1B, 1029-- 1038, 1982.
79; A comment on $\varphi^4$ euclidean field theory, Physics Letters, 122 B, 268--270, 1983, (V.Rivasseau).
80; The Elements of Mechanics, Springer--Verlag, p.1-- 575, New York, 1983.
81; Perturbation Theory for Classical Hamiltonian Systems, in "Scaling and self similarity in Physics", ed. J. Frohlich, Birkhauser, Boston, 1985, p.359--426.
82; The integrability problem and the Hamilton--Jacobi equation. A Review, Physics Reports, 103, 177--184, 1984.
83; Classical Mechanics and Renormalization Group, in "Regular and chaotic motions in Dynamic Systems", ed. G.Velo, A.Wightman, Proceedings of the fifth international School of Mathematical Physics at Erice, 1983, Plenum Press, New York, 1985, p. 185--232.
84; Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties, Communications in Mathematical Physics, 95, 61--112, 1984, (P.Collet, H.Epstein).
85; A comment on $\varphi^4$ euclidean field theory, Physics Letters, 122 B, 268--270, 1983, (V.Rivasseau). (repeated entry)
86; $\varphi^4$--Field Theory in dimension four : a modern introduction to its open problems, Annales de l'Institut H. Poincare, 40, 185--220, 1984, (V.Rivasseau).
87; Renormalization Theory for four dimensional scalar fields, (I), Communication in Mathematical Physics, 100, 545--590, 1985, (F.Nicolo').
88; Renormalization Theory for four dimensional scalar fields, (II), Communication in Mathematical Physics, 101, 247--282, 1985, (F.Nicolo').
89; Renormalization Theory and Ultraviolet Stability for Scalar Fields via Renormalization Group Methods, Reviews of Modern Physics, 57, 471--562, 1985.
90; The "Screening Phase Transitions" in the Two Dimensional Coulomb Gas, Journal of Statistical Physics, 39, 133--156, 1985, (F.Nicolo').
91; Perturbation Theory and non Renormalizable Scalar Fields, Communication in Mathematical Physics, 102, 549--571, 1985, (G.Felder).

92; Stability near Resonances in Classical Mechanics, Helvetica Physica Acta, 59, 278--291, 1986.
93; Meccanica Elementare, seconda edizione riveduta, ed. Boringhieri, Torino, 1986, p.1--536.
94; The dipole Phase in the Two--dimensional Hierarchical Coulomb Gas: Analyticity and Correlations Decay, Communications in Mathematical Physics, 106, 277--288, 1986, (G.Benfatto, F.Nicolo').
95; The structure of renormalization theory: renormalization, form factors and resummations in scalar field theory, ed. K. Osterwalder and R. Stora, Les Houches, XLIII, 1984, Phenome`nes Critiques, Syst`mes aleatories, Theories de jauge, Elsevier Science, 1986, p.467--492.
96; Quasi integrable mechanical systems, ed. K.Osterwalder and R.Stora, Les Houches, XLIII, 1984, Phenome'nes Critiques, Syste'mes aleatories, The'ories de jauge, Elsevier Science, 1986, p.539--624.
97; Stability of motions near resonances in quasi-integrable hamiltonian systems, Journal of Statistical Physics, 44, 293-338, 1986, (G. Benettin).
98; On the $\varphi_4^4$-problem, in Stochastic problems in classical and quantum systems, ed. S.Albeverio, G.Casati, D.Merlini, Lecture notes in Physics, vol. 262, Springer-Verlag, Heidelberg, 1986, p.278-295.
99; The almost everywhere convergence of Fourier series, Quaderni del CNR-GNFM, p.1-83, Roma, 1987, (A. Porzio).
100; Some problems on the Hamilton-Jacobi equation, in "Periodic Solutions of Hamiltonian Systems and Related Topics", ed. P. Rabinowitz, A. Ambrosetti, I. Eckeland, E. Zehnder, p. 153--160, NATO ASI series C,
vol. 209, Reidel, Dordrecht, 1987. Proceedings of the NATO Conference at Il Ciocco, (Barga, Italia), 13-17 Ottobre 1986.

101; Renormalization Theory and Group in Mathematical Physics, Proceedings of the International Congress of Mathematicians, 1986, (invited 45 min talk), Berkeley, ed. A. Gleason, Berkeley, 1988, Vol. 2, p. 1268--1277.
102; L' hypoth\`ese ergodique et Boltzmann, Dictionnaire Philosophique, p. 1081- 1086, Presses Universitaires, Paris, 1989.
103; On the Analyticity of the Pressure in the Hierarchical Dipole Gas, Journal of Statistical Physics, 55, 739-744, 1989, (G. Benfatto, F. Nicolo').
104; Perturbation theory of the Fermi surface in a quantum liquid. A general quasi particle formalism and one dimensional systems, Journal of Statistical Physics, 59, 541--664, 1990, (G. Benfatto).
105; The beta function method for resummations in field theory, Constructive quantum field theory, II, Scuola di Erice, 1988, ed. G. Velo, A. Wightman, NATO ASI series B, vol. 234, 69--88, 1990.
106; Renormalization Group, Publications du Troisieme cycle de la Suisse Romande, mars 1990, p. 1-46.
107; Renormalization group approach to the theory of the Fermi surface, Physical Review, B42, 9967- 9972, 1990, (G. Benfatto)
108; Renormalization group and the Fermi surface in the Luttinger model, Physical Review B45, 5468- 5480, 1992 (G. Benfatto, V. Mastropietro)
109; Some rigorous results about 3D Navier Stokes, Les Houches 1992 NATO-ASI meeting on ``Turbulence in spatially extended systems'', ed. by R. Benzi, C. Basdevant, S. Ciliberto; p. 45--81; Nova Science Publishers, New York, 1993.
110; Drift and diffusion in phase space, Annales de l' Institut Poincar\'e, B, 60, 1--144, 1994, (L. Chierchia).
111; Drift and diffusion in phase space. An application to celestial mechanics, in "Cellular Automata and Cooperative Systems", ed, N. Boccara, E. Goles, S. Martinez, P. Picco, NATO ASI, series C, vol. 396 p. 173- 190, Kluwer Acad. Publ., Dordrecht, 1993.
112; Quasi Particles and scaling properties at the Fermi surface, in "Probabilistic methods in mathematical physics", p. 222--232, ed. F. Guerra, M. Loffredo, C. Marchioro, World Scientific, 1992 (Siena Conference, 1991).
113; Beta function and Schwinger functions for a many body system in one dimension. Anomaly of the Fermi surface., Communications in Mathematical Physics, 160, 93--172, 1994, (G. Benfatto, A. Procacci, B. Scoppola).
114; Twistless KAM tori, quasi flat homoclinic intersections, and other cancellations in the perturbation series of certain completely integrable hamiltonian systems. A review, Reviews on Mathematical Physics, 6, 343-- 411, 1994.
115; Invariant tori: a field theoretic point of view on Eliasson's work, in \sl Advances in Dynamical Systems and Quantum Physics, 117--132, Ed. R. Figari, World Scientific, 1995.
116; Twistless KAM tori, Communications in Mathematical Physics, 164, 145--156, 1994.
117; Billiards correlation functions, Journal of Statistical Physics, 76, 549--586, 1994, (G. Garrido)
118; Rotation axis variation due to spin orbit resonance, Atti del $I^o$ Convegno Nazionale di Meccanica Celeste, L' Aquila, 21-25 maggio, 1993; editori A. Celletti, E. Perozzi, Pubblicazioni del Dipartimento di Matematica dell' Universita' dell'Aquila, p. 51-- 55, 1994.
119; Majorant series convergence for twistless KAM tori, Ergodic theory and dynamical systems, 15, p. 857--869, 1995. (G. Gentile)
120; One dimensional anomaly of the Fermi surface, p. 165--174, in ``On three levels : micro, meso and macro approaches in Physics'', ed. Fannes, M.,Maes, C., Verbeure, A., NATO ASI vol. B324, Plenum Press, NY, 1994.
121; Perturbation Theory, in "Mathematical physics towards the XXI century", p. 275--294, ed. R. Sen, A. Gersten, Ben Gurion University Press, Ber Sheva, 1994.
122; Ergodicity, ensembles, irreversibility in Boltzmann and beyond, Journal of Statistical Physics, 78, 1571--1589, 1995.
123; Renormalization group, p. 1--144, Princeton University Press, 1995, (G. Benfatto).
124; Topics on chaotic dynamics, in Third Granada Lectures in \sl Computational Physics, Ed. P. Garrido, J. Marro, in Lecture Notes in Physics, Springer Verlag, 448, p. 271--311, 1995.
125; Dynamical ensembles in nonequilibrium statistical mechanics, Physical Review Letters, 74, 2694--2697, 1995, (E.G.D. Cohen).
126; Reversible Anosov maps and large deviations, Mathematical Physics Electronic Journal, MPEJ, (https:// mpej.unige.ch), 1, 1--12, 1995.
127; Dynamical ensembles in stationary states, Journal of Statistical Physics, 80, 931--970, 1995, (E.G.D. Cohen).
128; Field theory and KAM tori, p. 1--9, Mathematical Physics Electronic Journal, MPEJ, 1, 1995 (https:// mpej.unige.ch), (G. Gentile, V. Mastropietro).
129; Lindstedt series and Kolmogorov theorem, in {\sl Hamiltonian systems with more than two degrees of freedom}, p. 62--71, Ed. C. Sim\'o, NATO ASI series, vol. 533, series C, Kluwer Academic Publishers, 1999.
130; Trattatello di Meccanica Statistica, ``Quaderni del CNR-GNFM'', vol. 50, p. 1--350, Firenze, 1995,.
131; Disorder in the 1D spinless Holstein model, Helvetica Physica Acta, 68, 312--327, 1995, (G. Benfatto, J. Lebowitz).
132; Chaotic principle: some applications to developed turbulence, Journal of Mathematical Physics, 86, 907--934,1997.
133; Chaotic hypothesis: Onsager reciprocity and fluctuation--dissipation theorem, Journal of Statistical Physics, {\bf 84}, 899--926, 1996.
134; Atomism, Boltzmann and nonequilibrium statistical mechanics, Talk at the symposium ``The genesis and development of ethernal truths'', (Wissenshat-philosophie und Wissenshaftforschung f\"ur Humanwissenshaften), Z\"urich, 4 nov. 1996, IHES preprint, IHES/P/97/33, unpublished.
135; A rigorous implementation of the Jeans--Landau--Teller approximation for adiabatic invariants, Nonlinearity, 10, 479--507, 1997.
136; Lindstedt series, ultraviolet divergences and Moser's theorem, Annali della Scuola Normale Superiore di Pisa, {\bf 26}, 545--593, 1998 (F. Bonetto, G. Gentile, V. Mastropietro).
137; Reversibility, coarse graining and the chaoticity principle, Communications in Mathematical Physics, 189, 263--276, 1997, (F. Bonetto).
138; Extension of Onsager's reciprocity to large fields and the chaotic hypothesis, Physical Review Letters, 77, 4334--4337, 1996.
139; Equivalence of dynamical ensembles and Navier Stokes equations, Physics Letters, 223A, 91--95, 1996.
140; Dynamical ensembles equivalence in fluid mechanics, Physica D, 105, 163--184, 1997.
141; Chaotic principle: an experimental test, Physica D, 105, 226--252, 1997, (F. Bonetto, P. Garrido).
142 Lo sviluppo delle teoria perturbativa nella Meccanica contemporanea, Bollettino UMI, 11, 649--665, 1997.
143 Quasi linear flows on tori: regularity of their linearization, Communications in Mathematical Physics, 192 707--736, 1998, (F. Bonetto, G. Gentile, V. Mastropietro).
144 Methods in the theory of quasi periodic motions, Recent advances in partial differential equations and applications, Venezia, 1996, ed. R. Spigler, S. Venakides, Proceedings of Symposia in Applied Mathematics, 54 163--174, 1997, American Mathematical Society.
145 SRB states and nonequilibrium statistical mechanics close to equilibrium , Communications in Mathematical Physics, 190 279--285, 1997, (D. Ruelle).
146 Ipotesi per una introduzione alla Meccanica dei Fluidi, ``Quaderni del CNR-GNFM'', vol. 52 p. 1--428, Firenze, 1997.
147 New methods in nonequilibrium gases and fluids, Open Systems and Information Dynamics, 6, 101--136, 1999.
148 Fluctuation patterns and conditional reversibility in nonequilibrium systems, Annales de l' Institut H. Poincar\'e, ; 70, 429--443, 1999.
149 Analyticity in the coupling constant of quasi periodic motions in smooth nonanalytic systems, ``Mathematical Physics XII'' (``$M\cap\Phi$ Conference Proceedings''), editors D. de Wit, A.J.B. Bracken, M.D. Gould. P.A. Pearce, p. 47--63, International Press, Cambridge, 1999.
150 Separatrix splitting for systems with three time scales, Communications in Mathematical Physics, 202, 197--236,1999, (G. Gentile, V. Mastropietro)
151 Arnold's diffusion in isochronous systems, Mathematical Physics, Analysis and Geometry, 1, 295--312, 1999.
152 Hamilton--Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systems, Rendiconti del Seminario Matematico, Universit\`a e Politecnico di Torino, 55, 291--302, 1997.
153 Breakdown and regeneration of time reversal symmetry in nonequilibrium Statistical Mechanics, Physica D, 112, ; 250--257, 1998.}
154 Chaotic dynamics, fluctuations, non-equilibrium ensembles, Chaos, {\bf8}, 384--392, 1998.
155 Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scales systems , Nonlinearity, 13 323--340, 2000, (G. Gentile, V. Mastropietro).
156 M\'ecanique statistique hors \'equilibre: l'h\'eritage de Boltzmann, mp_arc@math. utexas. edu: \# 98-54, chao-dyn@xxx. lanl. gov: chao-dyn/9802012. Published as appendix to the book Statistical Mechanics, #168. }
157 Homoclinic splitting. I. Comment on a Physica D paper of Rudnev and Wiggins, (unpublished) mp_arc@ math. utexas. edu: \# 98-245, (G. Gentile, V. Mastropietro).}
158Homoclinic splitting. II. A possible counterexample to a claim by Rudnev and Wiggins on Physica D, 114, 3--80, 1998. chao-dyn 9804017, (G. Gentile, V. Mastropietro). Published as On homoclinic splitting problems, Physica D, {\bf 137}, 202--204, 2000, see \#172 below.
159 Melnikov's approximation dominance. Some examples, Reviews on Mathematical Physics, 11, 451--461, 1999, (G. Gentile, V. Mastropietro).}
160 Reminiscences on science at I.H.E.S. A problem on homoclinic theory and a brief review}, in ``Les relations entre les math\'ematiques et la physique th\'eorique'', ed. J.P. Bourguignon, L. Michel, Publications Math\'ematiques de l'IHES, special volume, p. 99--117, Paris, 1998. Also in chao-dyn \#9804044.}
161; Erratum for ; ``Drift and diffusion in phase space'', by L. Chierchia and G. Gallavotti, ; ; Ann. Inst. H. Poincar\'e, B-60, 1, 1994, Annales de l' Institut Poincar\'e, B ; 68, 135, 1998.
162 A local fluctuation theorem, Physica A,263, 39--50, 1999.
163 Chaotic Hypothesis and Universal Large Deviations Properties, Documenta Mathematica, extra volume ICM98, vol. I, p. 205--233, 1998, also in chao-dyn 9808004
164 A field theory approach to Lindstedt series and Hamilton-Jacobi equation for hyperbolic tori in three time scales problems, Journal of Mathematical Physics, 40, 6430--6472,(G. Gentile, V. Mastropietro).
165 An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systems, unpublished, mp_arc \# 99-320, chao-dyn/9909007, (F. Perroni).
166 Note on Two Theorems in Nonequilibrium Statistical Mechanics, Journal of Statistical Physics, 96, 1343--1349, 1999, (E.G.D. Cohen).
167 Ergodic and chaotic hypotheses: nonequilibrium ensembles in statistical mechanics and turbulence, Unpublished shorter version of \#170, chao-dyn # 9905026, mp_arc #99-176.
168 Quasi periodic motions from Hypparcos to Kolmogorov, Rendiconti Accademia dei Lincei, Matematica e applicazioni, {\bf12},125--152, 2001.
169 Statistical mechanics. A short treatise, p. 1--345, Springer Verglag, 1999.
170 Fluctuations and entropy driven space--time intermittency in Navier--Stokes fluids. in ``Mathematical Physics 2000'', Ed. E. Fokas, A. Grigoryan, T. Kibble, B. Zegarlinski, Imperial College Press, London, 2000, p. 48--58.
171 Non equilibrium in statistical and fluid mechanics. Ensembles and their equivalence. Entropy driven intermittency, Journal of Mathematical Physics, {\bf41}, 4061-4081, 2000.
172 Renormalization group in Statistical Mechanics and Mechanics: gauge symmetries and vanishing beta functions, Physics Reports, {\bf352}, 251--272, 2001.
173 On homoclinic splitting problems, Physica D, 137, 202--204, 2000, (G.Gentile, V.Mastropietro).
174 Entropy driven intermittency, Markov processes and Related fields, 7, 135--144, 2001.
175 Prefazione scritta per il volume: Ludwig Boltzmann e la meccanica statistica} di C. Cercignani, Collana ``I percorsi della Fisica'', p. I--X, La Goliardica Pavese, Pavia, 1997, ISBN 88-7830-263-5.
176 The Luttinger model: its role in the RG--theory of one--dimensional many body Femi systems, Journal of Statistical Physics, {\bf 103}, 459--483, 2001.
177 Nonequilibrium statistics and time arrow, Atti dei convegni Lincei, 177, 175--190, 2002.
178 Intermittency and time arrow in statistical mechanics and turbulence,, Fields Institute Communications, 31, 165--172, 2002.
179 Counting phase space cells in statistical mechanics, 2000, Communications in Mathematical Physics, 224, 107--112, 2001.
180 La meccanica classica e la rivoluzione quantica nei lavori giovanili di Fermi, in ``Conoscere Fermi'', ed. C. Bernardini, L. Bonolis, Compositori, p. 76--84, Bologna, 2001.
181
Determinismo e caos: un antico dualismo oggi, Atti Accademia Nazionale dei Lincei, XII, 13--23, 2001.
182 Some problems in Mathematical Physics. (1) Separatrix splitting of a quasi periodically forced pendulum, (2) One dimensional Fermi gas with spin and attractive interaction, (3) Entropy production and nonequilibrium statistical mechanics}. Text for the comments at the London conference, M-Phi 2000, originally in
183 Fermi and the ergodic problem, preprint 2001.
184 Fluid mechanics. Foundations, p.1--513, Springer--Verlag, 2002.
185 Hyperbolic low-dimensional invariant tori and summations of divergent series, Communications in Mathematical Physics, 227, 421--460, 2002, (G. Gentile).
186 Aspects of the ergodic, qualitative and statistical properties of motion, revised english translation of the book #74, with new additions, 2001, (F. Bonetto, G. Gentile).
187 Large deviations in rarefied quantum gases, Journal of Statistical Physics, 108, 831-861, 2002. (J.L. Lebowitz, V. Mastropietro).
188 Large deviations, fluctuation theorem and Onsager--Machlup theory in nonequilibrium statistical mechanics, unpublished.
189 Exact Renormalization Group, Paris IHP, 12 ottobre 2002 Seminario Bourbaphy, CNRS, in print.
190 Twentyseven comments (.) on the Second Law and nonequilibrium systems, published as appendix to #186.
191 Theoretical mechanics in Italy between 1960 and 1922, in Atti dei convegni Lincei, 217, 259--300, 2006.
192 Alcune questioni sull'Almagesto , Conferenza all'Istituto di studi Romani, maggio 2003.
193 SRB distribution for Anosov maps, in 'Chaotic dynamics and transport in classical and quantum systems', Kluwer, Ed. P. Collet, M. Courbage, p. 87--105, 2005, ISBN: 978-1-4020-2945-5.
194 CKN theory of singularities of weak solutions of the Navier-Stokes equations, Ed. M. Cannone, T. Miyakawa in Mathematical Foundations of Turbulent viscous flows, Lecture notes in Physics, 1871, p. 45--100, 2006, Springer
195 On the Cassandro--Olivieri renormalization method and the foundations of nonequilibrium statistical mechanics , Conferenza alla Seconda Universita' di Roma.
196 Prefazione per: Quando la Fisica parlava tedesco, di Salvatore Antoci, Quaderni GNFM, 2002.
197 Theory of motion from Hellenistic time to the XX century, Talk at the meeting Matemathics and Culture 2002, Venezia, Springer--Verlag, 2003.
198 A conference on nonequilibrium thermodynamics ``ESF Conference on Philosophical and Foundational Issues in Statistical Physics'', Utrecht, 28-30 Novembre 2003.
199 Nonequilibrium thermodynamics ?, Rutgers University preprint, november 2003, eventually p. 397--409, published in #186, p. 397--409, 2005; reprinted in #190.
200 Note on nonequilibrium stationary states and entropy, Physical Review E, 69, 035104 (+4), 2004, (E.G.D. Cohen).
201 Lyapunov spectra and nonequilibrium ensembles equivalence in 2D fluid mechanics,, Physica D, 187,338-357, 2004, (L.Rondoni,E.Segre).
202 Entropy production in nonequilibrium thermodynamics: a review Chaos, 14, 680--690, 2004.
203 Degenerate elliptic resonances, Communications in Mathematical Physics, 257, 319--362, 2005, (G. Gentile).
204 Fluctuation Relation beyond Linear Response Theory, Journal of Statistical Physics, 119, 909--944, 2005, (A. Giuliani, F.Zamponi), math.DS/0405420 and mp$\_$arc 04-159.
205 Classical Mechanics, In "Encyclopedia of Mathematical Physics", ed. J.P. Francoise, G.L. Naber, Tsou Sheung Tsun, Vol. 1, 1--32, 2006, Elsevier, ISBN:978-0-12-512660-1.
206 Equilibrium Statistical Mechanics, In 'Encyclopedia of Mathematical Physics', ed. J.P. Francoise, G.L. Naber, Tsou Sheung Tsun, Vol. 1, 51--87, 2006, Elsevier, ISBN:978-0-12-512660-1.
207 Chaotic Hypothesis, Fluctuation Theorem and Singularities, Journal of Statistical Physics, 123, 39--54, 2006. doi: 10.1007/s10955-006-9047-5, (F. Bonetto, A. Giuliani, F. Zamponi).
208 Stationary nonequilibrium statistical mechanics, In "Encyclopedia of Mathematical Physics", ed. J.P. Francoise, G.L. Naber, Tsou Sheung Tsun, Vol. 3, 530--539, 2006, Elsevier, ISBN:978-0-12-512660-1.
209 Constructive quantum field theory, In "Encyclopedia of Mathematical Physics", ed. J.P. Francoise, G.L. Naber, Tsou Sheung Tsun, Vol. 1, 617--630, 2006, Elsevier, ISBN:978-0-12-512660-1.
210 Fractional Lindstedt Series, Journal of Mathematical Physics, 47, 012702 (+33), 2006, doi: 10.1063/1.2157052 (G.Gentile, A.Giuliani).
211 Irreversibility time scale, Chaos, 16, 023130 (+7), 2006.
212 Borel summability and Lindstedt series, Communications in Mathematical Physics, 269, 175-193, 2006, doi:10.1007/s00220-006-0079-0, (O.Costin,A.Giuliani, G.Gentile)
213 Fluctuations relation and external thermostats: an application to granular materials, Journal of Statistical Mechanics, P05009, 2006, doi:10.1088/1742-5468/2006/05/P05009
214 A fluctuation theorem in a random environment, Ergodic Theory and Dynamical Systems, 28, 21--47, 2008, (F.Bonetto, G.Gentile), doi:10.1017/S0143385707000417
215 Entropy, Nonequilibrium, Chaos and Infinitesimals, Symposium ``Boltzmann's Legacy'', ESI, Vienna, 2006; mp_arc 06-185, cond-mat/0606477.
216 Entropy, Thermostats and Chaotic Hypothesis, Chaos, 16, 043114 (+6), 2006, doi:10.1063/1.2372713
217 Boundary dissipation in a driven hard disk system, Journal of Statistical Physics, 126, 1201-1207, 2007, doi: 10.1007/s10955-006-9244-2, (P. Garrido).
218 Microscopic chaos and macroscopic entropy in fluids, Journal of Statistical Mechanics (JSTAT), P10011(+9), 2006, doi:10.1088/1742-5468/2006/10/P10011
219 Resonances and summation of divergent series, in Contemporary Mathematics, Ed. Chernov et al., 412, 171--181, 2006
220 Boltzmann: ensembles and coarse graining in and out of equilibrium , in Boltzmann Symposium, October 2006, Munchen
221 Fluctuation relation, fluctuation theorem, thermostats and entropy creation in non equilibrium statistical Physics, Comptes Rendus de l'Acad\'emie de Sciences - Physique, (CR-Physique), 8, 486-494, 2007, doi: 10.1016/j.crhy.2007.04.011,
222 Order, Chaos, Irreversibility, Entropy: rethinking an old dualism Istituto Italiano di Cultura, Washington, DC, 12 dicembre 2006
223 Quantum Nonequilibrium and Entropy creation cond-mat/0701124, included in #225
224 Perturbation Teory physics.class-ph/0711.2544 and mp{$\_$}arc 07-282
225 Heat and Fluctuations from Order to Chaos (pdf) European Physical Journal B, 61, 1-24, 2008, doi:10.1140/epjb/e2008-00041-1
226 Fluctuation Theorem and Chaos (pdf) European Physical Journal B, xx, yy-yy, 2008, doi:X, arxiv 0802.3694.
227 Fluidodinamica: i nuovi aspetti}, non pubblicato (2008).
228 Ordine disordine informazione, non pubblicato, (2008).
229 Thermostats, chaos and Onsager reciprocity, Journal of Statistical Physics, 134, 1121--1131, 2009, Sommario, doi: 10.1007/s10955-008-9655-3, arXiv:0809.2165, 2008. ISSN 0022-4715 (Print) 1572-9613 (Online)
230 On Thermostats: Isokinetic or Hamiltonian? finite or infinite?, Chaos, {19}, 013101 (+7), 2009, DOI: 10.1063/1.3054710, arXiv:0810.1510, 2008.
231 On Pendulum Integration and Elliptic Functions, arXiv:0810.1510, 2008,(unpublished, included in \#236) (P. Garrido).
232 Thermodynamic limit of Isoenergetic and Hamiltonian Thermostats, arXiv:0812.2402, (E. Presutti).
233 Nonequilibrium, thermostats and thermodynamic limit, Journal of Mathematical Physics, 51, 015202 (+32), 2010, arXiv:0905.3150, (E. Presutti).
234 Frictionless thermostats and intensive constants of motion, Journal of Statistical Physics, {\bf 139}, 618-629, 2010, arxiv: 0907.1188, (E. Presutti).
235 Thermodynamic limit for isokinetic thermostats, Journal of Mathematical Physics, 51,032901, 2010. arxiv: 0908-3060, (E. Presutti).
236 Pendulum, Elliptic Functions and Relative Cohomology Classes Journal of Mathematical Physics, ??, 2010. arxiv: (J.P. Fran\c{c}oise, P.L. Garrido).
237 Entropia e irreversibilita` Conferenza plenaria nella classe di Scienze dell'Accademia dei Lincei, Roma 10 aprile 2010
238 Resonances within Chaos arXiv 1106.1476 (G. Gentile, A. Giuliani)
239 Statistical method to determine some properties of atoms and An attempt to a $\beta$ rays theory (English translations by G.Gallavotti) parts of the paper "The Accademia dei Lincei to E. Fermi on the occasion of the 110th anniversary of his birthday", by E. Fiorini and G.Gallavotti, in Rendiconti Lincei (2011) 22:277-306 DOI 10.1007/s12210-011-0141-5
240 Stabilit\`a dell'integrabilit\`a Hamiltoniana: teorema KAM e serie di Lindstedt Complemento al Cap.X di Lezioni di meccanica razionale di T. Levi-Civita e U. Amaldi
241 Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle Journal of Mathematical Physics, 032901 (2013), arxiv:1202.2741 (P. Francoise, P. Garrido)
242 Aspects of Lagrange's Mechanics and their legacy European Physical Journal H, p.1-21, 2013, DOI: 10.1140/epjh/e2013-40029-y , mp\_arc 45-13 ; arxiv 1305.3438
243 Nonequilibrium stationary state for a damped rotator arxiv:1310.5379.
244 Nonequilibrium and irresversibility Springer-Verlag, Heidelberg, 2014, DOI: 10.1007/978-3-319-06758-2, arXiv: 1311.6448
245 Random matrices and Lyapunov coefficients regularity Journal Statistical Physics, DOI 10.1007/s10955-015-1429-0, arXiv: 1311.5129
246 Equivalence of Non-Equilibrium Ensembles and Representation of Friction in Turbulent Flows: The Lorenz 96 Model Journal of Statistical Physics, {\bf 156}, 1027-1065, 2014, DOI: 10.1007/s10955-014-1051-6, (V. Lucarini)
247 Renormalization group and divergences Journal of Statistical Physics, 157, 743-754, 2014, DOI 10.1007/s10955-014-1027-6, also: arXiv: 1405.5672
248 Grafici di Feynman: da artificio computazionale a rappresentazione della natura delle cose in ``Metafore e simboli della Scienza'', Atti dei Convegni Lincei, vol. 282, p. 61--70, 2014, (ed. Antica Tipografia, Scienze e Lettere, P.zza delle Cinque Lune, 113, 00186 Roma), ISSN 0391-805X, ISBN 978-88-218-1095-4, FM 03-14.}
249 Kondo effect in a fermionic hierarchical model}, Journal of Statistical Physics, (2015) 161:1203–1230, DOI 10.1007/s10955-015-1378-7,FM 03-15, arxiv:1506.04381, (G. Benfatto, I. Jauslin).
250 {Kondo effect in the hierarchical s-d model}, Journal of Statistical Physics, (2015) 161:1231–1235, DOI 10.1007/s10955-015-1370-2,FM 05-15, arxiv:1507.05678, (I. Jauslin).
251 {Non-equilibrium statistical mechanics of turbulence. Comments on Ruelle's intermittency theory} in ``The Foundations of Chaos Revisited: From Poincaré to Recent Advancements'', ed. C.Skiadas, Springer: Complexity, p.59-70, FM 07-15, arxiv: 1508.01857 , DOI 10.1007/978-3-319-29701-9, (P. Garrido).
252 {About David Ruelle, after his 80-th birthday} FM 01-16, Journal of Statistical Physics, 163, 2016, DOI 10.1007/s10955-016-1533-9 arxiv: 1604.07672.
253 {Ergodicity: a historical perspective. Equilibrium and Nonequilibrium} Eur. Phys. J. H., p. 1-80, DOI: 10.1140/epjh/e2016-70030-8, FM 02-16, arxiv: 1604.04239.
254 {Lucio Russo: On Probability Theory, and Current Interests} p 1-9, FM 01-2017.
255{Reversible viscosity and Navier--Stokes fluids} in Giacomin G., Olla S., Saada E., Spohn H., Stoltz G. (eds), Stochastic Dynamics out of Equilibrium, IHPStochDyn 2017. Springer Proceedings in Mathematics & Statistics, vol 282, 569-580, 2017; FM 03-2017, arxiv:1711.05684, DOI: 10.1007/978-3-030-15096-9_21
256 Finite thermostats in classical and quantum nonequilibrium, FM 04-18, European Physical Journal Special Topics (EPJST): 227, 217–229 (2018), https://doi.org/10.1140/epjst/e2018-700096-x
257 Equivalence of Non-Equilibrium Ensembles in Turbulence Models Physical Review E, 98, 012202, 2018, FM02-18, arxiv: 1804.06273, (L.Biferale, M.Cencini, M.DePietro, V.Lucarini)
258Quasi periodic Hamiltonian Motions, Scale Invariance, Harmonic Oscillators Journal of Mathematical Physics, 60, 062901, 2019, https://doi.org/10.1063/1.5094228, and arxiv 1810.07786 (the latter includes Erratum)
260Navier-Stokes equation: irreversibility, turbulence and ensembles equivalence, arxiv 1902.09610
261Nonequilibrium and Fluctuation Relation, Journal of Statistical Physics, https://doi.org/10.1007/s10955-019-02376-3, arxiv 1906.10069.
262Equivalent Ensembles, Turbulence and Fluctuation Theorem, arxiv 2001.08436
263 Ensembles, Turbulence and Fluctuation Theorem, European Journal of Physics E, 43:37, DOI 10.1140/epje.i2020-11961-0, arxiv 2001.08436
264 A theorem on ellipses, an integrable system and a theorem of Boltzmann, arxiv 2008.01955
265 Viscosiy, reversibility, chaotic hypothesis, fluctuation theorem and Lyapunov pairing, Journal of Statistical Physics, 185:21, 2021, DOI 10.1007/s10955-021-02830-1, arxiv 2008.01955
266 Non-equilibrium Ensembles for the 3D Navier-Stokes Equations, Physical Review E, 105, 065110, 2022, doi:10.1103/PhysRevE.105.065110, (G.Margazoglu,L.Biferale,M.Cencini,\break G.Gallavotti,V.Lucarini)
267 Statistical ensembles in fluid dynamics, (in preparation)
268 Reversibility, Irreversibility, Friction and nonequilibrium ensembles in N-S equations Bollettino della Unione Matematica Italiana, 16, 351-361 (2023) https://doi.org/10.1007/s40574-022-00343-7.
269 Navier-Stokes equation and Equivalence conjectures, ENSAIOS MATEM\'ATICOS, 38, 249-262, 2023
https://www.doi.org/10.21711/217504322023/em389, arxiv: 2211.02961.
270 Il vuoto e la cicloide: Torricelli e Pascal, in stampa sugli Atti del Convegno 'Blaise Pascal. Fonti e Eredit\`a Filosofia, Letteratura, Scienza' p,1-43, 2023
https://hal.science/hal-04225347.