**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

**Dynamics, Ergodic Theory, and Geometry**

by

**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.

(

**11032**views)

**Entropy of Compact Group Automorphisms**

by

**Thomas Ward**-

**University of East Anglia**

These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.

(

**4820**views)

**Complex Dynamics and Renormalization**

by

**Curtis T. McMullen**-

**Princeton University Press**

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics.

(

**4842**views)

**Discrete Dynamical Systems**

by

**Arild Wikan**-

**Bookboon**

This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential to understand the behavior of nonlinear discrete dynamical systems. The theory is illuminated by examples and exercises.

(

**3930**views)