69 citations · 790 across the 57 of their papers we have counts for
5 papers · 1 filter
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…
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…
Brownian motion and diffusion: from stochastic processes to chaos and beyond
Fabio Cecconi, Massimo Cencini, Massimo Falcioni +1
One century after Einstein's work, Brownian Motion still remains both a fundamental open issue and a continous source of inspiration for many areas of natural sciences. We first pr…
Complexity Characterization of Dynamical Systems Through Predictability
Fabio Cecconi, Massimo Falcioni, Angelo Vulpiani
Some aspects of the predictability problem in dynamical systems are reviewed. The deep relation among Lyapunov exponents, Kolmogorov-Sinai entropy, Shannon entropy and algorithmic…
The origin of diffusion: the case of non chaotic systems
Fabio Cecconi, Diego del-Castillo-Negrete, Massimo Falcioni +1
We investigate the origin of diffusion in non-chaotic systems. As an example, we consider 1- map models whose slope is everywhere 1 (therefore the Lyapunov exponent is zero) but…