Publications:
- F. Bonetto, G. Gallavotti, A. Giuliani, and F. Zamponi,
Fluctuations relation and external thermostats:
an application to granular materials
accepted by Journal of Statistical Physics.
- F. Bonetto, and H. Matzinger,
Fluctuation of the Longest Common Subsequence in the
case of 2- and 3-letters Alphabets
accepted by Latin American Journal Of Probability And Mathematical Statistics (ALEA)
- F. Zamponi, F. Bonetto, L. Cugliandolo and J. Kurchan,
A fluctuation theorem for
non-equilibrium relaxational systems driven by external forces,
Jour. of Statistical Mechanics,
5 1-50(2006)
- F. Bonetto, G. Gallavotti, A. Giuliani, and F. Zamponi,
Chaotic Hypothesis, Fluctuation
Theorem and Singularities
Jour. of Stat. Phys
123 39-53 (2006).
- F. Bonetto, and L. Rey-Bellet,
Fourier's Law,
Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and
Tsou S.T. Oxford: Elsevier, 2006 volume 2 page 374.
- F. Bonetto, P. Falco, and G. Giuliani,
Analyticity of the SRB measure of a lattice of
coupled Anosov diffeomorphisms of the torus,
Mathematical Physics Journal
45 , 3282-3309 (2004).
- F. Bonetto, A. Kupiainen, and J.L. Lebowitz,
Perturbation theory for coupled Arnold cat maps:
absolute continuity of marginal distribution
Ergodic Theory and Dynamical Systems
24 (2004).
- F. Bonetto, J. Lebowitz, and J. Lukkarinen,
Harmonic Chain which Satisfies Fourier's Law
Jour. Stat. Phys
116 , 783-813 (2004)
- G. Gallavotti, F. Bonetto, and G. Gentile,
Aspect of the ergodic, qualitative and statistic
theory of motion
Springer Verlag, Texts and Monographs in Physics, Berlin (2004), I
- F.Bonetto, D. Daems, and J.L. Lebowitz, V. Ricci,
Properties of
Stationary Nonequilibrium States in the Thermostated Periodic Lorentz
Gas II: The many point particles system
Physical Review E.
65 05124 (2001)
- F. Bonetto, and J.L. Lebowitz,
Thermodynamic entropy production
fluctuation in a two dimensional shear flow model
Physical Review E.
64 056129-056138 (2001)
- F. Bonetto, D. Daems and J.L. Lebowitz,
Properties of the
Stationary States in the Thermostatted Lorentz Gas I: the One
Particle System,
Journ. Stat. Phys.
101 17-34 (2000).
- D.J. Evans, E.G.D. Cohen, D.J. Searles, and F. Bonetto,
Note on the Kaplan-Yorke dimension
and linear transport coefficient
Journ. Stat. Phys.
101 , 35-60 (2000)
- F. Bonetto, J.L. Lebowitz, and L. Rey-Bellet
Fourier's Law: a Challenge for Theorists,
Mathematical Physics 2000, Edited by A. Fokas,
A. Grigoryan, T. Kibble and B. Zegarlinsky, Imprial College Press, 128-151
(2000)
- F.Bonetto, G. Gentile, and V. Mastropietro,
Electric fields on a surface of
constant negative curvature,
Ergodic Theory and Dynamical Systems
20 , 681-686 (2000)
- F. Bonetto, and G. Gentile,
On a conjecture for the critical
behavior of KAM tori,
Mathematical Physics Electronic Journal (MPEJ)
5 , 1--16 (1999)
- F. Bonetto, G. Gallavotti, G. Gentile, and V. Mastropietro,
Lindstedt series, ultraviolet divergences
and Moser theorem,
Annali della Scuola Normale Superiore,
26 , 545--593 (1998)
- F. Bonetto, G. Gallavotti, G. Gentile, and V. Mastropietro,
Quasi linear flow on tori and regularity
of their linearization,
Comm. Math. Phys.
192 , 707--736 (1998)
- F. Bonetto, and G. Gallavotti,
Chaotic principle, reversibility
and coarse graining,
Comm. Math. Phys.
189 , 263--273 (1997)
- F. Bonetto, N.I. Chernov, and J.L. Lebowitz,
(Global and Local) Fluctuation of Phase Space
Contraction in Deterministic Stationary Non-Equilibrium,
Chaos
8 , 823--833 (1998)
- F. Bonetto, E.G.D. Cohen, and C. Pugh,
On the Validity of the Conjugate
Pairing Rule for Lyapunov Exponents,
Jour. Stat. Phys
92 , 587--627 (1998)
- F. Bonetto, G. Gallavotti, and P. Garrido,
Chaotic hypothesis: an experimental test,
Physica D
105 , 226--252 (1997)
- F.Bonetto, and V. Mastropietro,
Critical indices for the
Youkawa2 model,
Nucl. Phys. B
497 , 541--554 (1997)
- F. Bonetto, and V. Mastropietro,
Critical indices in a $d=1$ filled band
Fermi system,
Phys. Rew. B
56 , 1296--1308 (1997)
- F. Bonetto, V. Mastropietro,
Filled Band Fermi Systems,
MPEJ
2 , 1--36 (1995)
- F. Bonetto, and V. Mastropietro,
Beta Function and Anomaly of the Fermi Surface for a
$d=1$ System of Interacting Fermions in a Periodic Potential,
Comm. Math. Phys.
172 , 57--93 (1995)
Preprints
- A. Amaricci, F. Bonetto, and P. Falco,
Analyticity of the SRB measure for a class
of simple Anosov flows submitted to Journal of Mathematical Physics
Research Interests:
- Equilibrium Statistical Mechanics:
Fermi surface for interacting fermions in 1 and 2 dimesions at zero temperature.
- Non-Equilibrium Statistical Mechanics, numerical results:
Chaotic maps, billiard systems: invariant measure and large deviations.
- Dynamical systems Theory: Perturbation theory for coupled lattice maps:
regularity of marginal distributions and characterization of macroscopic properties.
- Non-Equilibrium Statistical Mechanics, rigorous results:
chains of anharmonic oscillator studied via functional integration techniques:
validity of Fourier's law.