Logo

Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra

Small book cover: Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra

Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: Substitutions in Dynamics, Arithmetics, and CombinatoricsSubstitutions in Dynamics, Arithmetics, and Combinatorics
by - Springer
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.
(9627 views)
Book cover: Chaos TheoryChaos Theory
by - InTech
With a good background in nonlinear dynamics, chaos theory, and applications, the authors give a treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.
(5323 views)
Book cover: Dynamical SystemsDynamical Systems
by - 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.
(9757 views)
Book cover: Mathematical Principles of Dynamic Systems and the Foundations of Quantum PhysicsMathematical Principles of Dynamic Systems and the Foundations of Quantum Physics
by - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(10380 views)