395 citations · 1.1k across the 22 of their papers we have counts for
22 papers
The prediction of future from the past: an old problem from a modern perspective
F. Cecconi, M. Cencini, M Falcioni +1
The idea of predicting the future from the knowledge of the past is quite natural when dealing with systems whose equations of motion are not known. Such a long-standing issue is r…
Estimate of temperature and its uncertainty in small systems
M. Falcioni, A. Puglisi, A. Sarracino +2
The energy of a finite system thermally connected to a thermal reservoir may fluctuate, while the temperature is a constant representing a thermodynamic property of the reservoir.…
Role of chaos for the validity of statistical mechanics laws: diffusion and conduction
Massimo Cencini, Fabio Cecconi, Massimo Falcioni +1
Several years after the pioneering work by Fermi Pasta and Ulam, fundamental questions about the link between dynamical and statistical properties remain still open in modern stati…
Boltzmann entropy and chaos in a large assembly of weakly interacting systems
Massimo Falcioni, Luigi Palatella, Simone Pigolotti +2
We introduce a high dimensional symplectic map, modeling a large system consisting of weakly interacting chaotic subsystems, as a toy model to analyze the interplay between single-…
Properties making a chaotic system a good Pseudo Random Number Generator
Massimo Falcioni, Luigi Palatella, Simone Pigolotti +1
We discuss two properties making a deterministic algorithm suitable to generate a pseudo random sequence of numbers: high value of Kolmogorov-Sinai entropy and high-dimensionality.…
The production rate of the coarse grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection ?
Massimo Falcioni, Luigi Palatella, Angelo Vulpiani
We discuss the connection between the Kolmogorov-Sinai entropy, , and the production rate of the coarse grained Gibbs entropy, . Detailed numerical computations show t…