Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra
by A. T. Baraviera, R. Leplaideur, A. O. Lopes
Publisher: arXiv 2013
Number of pages: 106
Description:
We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Ordinary Differential Equations and Dynamical Systemsby Gerald Teschl - Universitaet Wien
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.
(11375 views)
Invitation to Dynamical Systemsby Edward R. Scheinerman - Prentice Hall College Div
Author invites readers from a wide range of backgrounds to explore the beauty and excitement of dynamical systems. Written for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material.
(11510 views)
Local Theory of Holomorphic Foliations and Vector Fieldsby Julio C. Rebelo, Helena Reis - arXiv
Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.
(5244 views)
Encyclopedia of Dynamical Systemsby D. Anosov, at al. - Scholarpedia
The encyclopedia covers differential equations, numerical analysis, bifurcations, topological dynamics, ergodic theory, hyperbolic dynamics, oscillators, pattern formation, chaos, statistical mechanics, control theory, and applications.
(8688 views)