**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 Systems**

by

**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 Systems**

by

**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 Fields**

by

**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 Systems**

by

**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)