**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

**Monotone Dynamical Systems**

by

**M.W. Hirsch, Hal Smith**

From the table of contents: Introduction; Strongly Order-Preserving Semiflows; Generic Convergence and Stability; Ordinary Differential Equations; Delay Differential Equations; Monotone Maps; Semilinear Parabolic Equations.

(

**6378**views)

**Introduction to Dynamical Systems: A Hands-on Approach with Maxima**

by

**Jaime E. Villate**

In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.

(

**6389**views)

**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.

(

**11383**views)

**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.

(

**10927**views)