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
Dynamical Systemsby Shlomo Sternberg - OER Commons
This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.
(12715 views)
Variational Modelling: Energies, gradient flows, and large deviationsby Mark A. Peletier - arXiv
The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.
(10730 views)
Chaos: Classical and Quantumby Predrag Cvitanovic - ChaosBook.org
This is a graduate textbook on classical and quantum chaos, applicable to problems of physics, chemistry and other sciences. It represents an attempt to formulate the subject as one of the cornerstones of the graduate physics curriculum of future.
(17581 views)
Dynamics, Ergodic Theory, and Geometryby Boris Hasselblatt - Cambridge University Press
This book contains articles in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; etc.
(17833 views)