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A local fluctuation theorem
Giovanni Gallavotti
A mechanism for the validity of a local version of the fluctuation theorem, uniform in the system size, is discussed for a reversible chain of weakly coupled Anosov systems.
Chaotic Hypothesis and Universal Large Deviations Properties
Giovanni Gallavotti
Chaotic systems arise naturally in Statistical Mechanics and in Fluid Dynamics. A paradigm for their modelization are smooth hyperbolic systems. Are there consequences that can be…
Reminiscences on science at I.H.E.S. A problem on homoclinic theory and a brief review
Giovanni Gallavotti
On the occasion of the 40-th anniversary of IHES I present a few scientific reminiscences: most of my scientific life has been marked by my visits and I run through them concluding…
Melnikov's approximation dominance. Some examples
G. Gallavotti, G. Gentile, V. Mastropietro
We continue a previous paper to show that Mel'nikov's first order formula for part of the separatrix splitting of a pendulum under fast quasi periodic forcing holds, in special exa…
Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on Physica D
G. Gallavotti, G. Gentile, V. Mastropietro
Results in the mentioned paper do not seem valid.
Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scales systems
Giovanni Gallavotti, Guido Gentile, Vieri Mastropietro
Interacting systems consisting of two rotators and a point mass near a hyperbolic fixed point are considered, in a case in which the uncoupled systems have three very different cha…