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THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS
Monte carlo markov chain the interface between computing computer science statistical mechanics
2015/7/14
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。
Isoradial graphs are a natural generalization of regular graphs which give,for many models of statistical mechanics, the right framework for studying models at criticality.
Irreversibility and maximum generation in $\kappa$-generalized statistical mechanics
dynamical systems entropy ergodic theory non-equilibrium thermodynamics
2011/2/23
This paper develops an analytical relation on probability to obtain a condition on stability of steady states of open systems which represents the condition of quasi-ergodicity for the open systems to...
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
Kahler-Einstein metrics free fermions statistical mechanics
2010/12/15
We propose a statistical mechanical derivation of Kähler-Einstein1 metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean sig-nature (with a cosmological constant) on a compact...
Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models
Multispecies Statistical Mechanics Mean-Field Models
2010/11/19
We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to ha...
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Entropic Fluctuations Statistical Mechanics I. Classical Dynamical Systems
2010/12/8
Within the abstract framework of dynamical system theory we describe a general approach to the
Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibr...
Quantum Statistical Mechanics, L-series and Anabelian Geometry
Arithmetic equivalence quantum statistical mechanics Bost-Connes system anabelian geometry
2010/11/29
It is known that two number fields with the same Dedekind zeta function are not necessarily
isomorphic. The zeta function of a number field can be interpreted as the partition function of
an associa...
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Entropic Fluctuations Statistical Mechanics I. Classical Dynamical Systems
2010/12/16
Within the abstract framework of dynamical system theory we describe a general approach to the
Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibr...