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Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture
testing in dynamics, geometry, mathematical physics and spectral
theory. Th...
Statistical Physics of Biological Evolution
Statistical Physics Biological Evolution Populations and Evolution
2012/4/28
This is an extended abstract of lectures delivered at the 4th Warsaw Summer School on Statistical Physics in Kazimierz Dolny, June 25-July 2, 2011.
Effective statistical physics of Anosov systems
Effective statistical physics Anosov systems
2010/12/15
We present evidence indicating that Anosov systems can be endowed with a unique physically
reasonable eective temperature. Results for the two paradigmatic Anosov systems (i.e., the cat map and the ...
A unified theory of chaos linking nonlinear dynamics and statistical physics
chaos linking nonlinear dynamics statistical physics
2010/4/21
A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex syste...
Noisy Random Boolean Formulae - a Statistical Physics Perspective
noisy logical gates Statistical Physics
2010/4/6
Typical properties of computing circuits composed of noisy logical gates are studied using the statistical physics methodology. A growth model that gives rise to typical random Boolean functions is ma...
Micro-Macro Relation of Production - The Double Scaling Law for Statistical Physics of Economy
Micro-Macro Scaling Law Production Statistical Physics
2010/4/27
We show that an economic system populated by multiple agents generates an equilibrium distribution in the form of multiple scaling laws of conditional PDFs, which are sufficient for characterizing the...
STATISTICAL PHYSICS FOR COSMIC STRUCTURES (A. Gabrielli, F. Sylos Labini, M. Joyce and L. Pietronero, Springer, Berlin, 2005. (424 pp.), ISBN 981-238-165-1.)
STATISTICAL PHYSICS COSMIC STRUCTURES
2009/2/20
STATISTICAL PHYSICS FOR COSMIC STRUCTURES (A. Gabrielli, F. Sylos Labini, M. Joyce and L. Pietronero, Springer, Berlin, 2005. (424 pp.), ISBN 981-238-165-1.)。
Estimators, Escort Probabilities, and $\phi$-Exponential Families in Statistical Physics
Escort probability Lower bound of Cramer and Rao Generalized exponential family Statistical manifold Nonextensive thermostatistics
2008/7/1
The lower bound of Cramér and Rao is generalized to pairs of families of probability distributions, one of which is escort to the other. This bound is optimal for certain families, called -exponential...
A New Approach to Monte Carlo Simulations in Statistical Physics
Monte Carlo Simulations Statistical Physics
2010/10/19
We describe a new algorithm that approaches Monte Carlo simulation in statistical physics in a different way. Instead of sampling the probability distribution at a fixed temperature, a random walk is ...
Statistical Physics, Neural Networks, Brain Studies
Statistical Physics Neural Networks Brain Studies
2010/4/16
An overview of some aspects of a vast domain, located at the crossroads of physics, biology and computer science is presented: 1) During the last fifteen years, physicists advancing along various path...