**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

**Valuations and Hyperbolicity in Dynamics**

by

**Thomas Ward**-

**University of East Anglia**

These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.

(

**7744**views)

**Singularities of Transition Processes in Dynamical Systems**

by

**Alexander N. Gorban**-

**American Mathematical Society**

This monograph presents a systematic analysis of the singularities in the transition processes for dynamical systems. We study general dynamical systems, with dependence on a parameter, and construct relaxation times that depend on three variables.

(

**8570**views)

**Geometrical Theory of Dynamical Systems**

by

**Nils Berglund**-

**arXiv**

This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.

(

**9497**views)

**Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry**

by

**Florentin Smarandache**-

**Amer Research Pr**

A collection of definitions, questions, and theorems such as Smarandache type conjectures, problems, numerical bases, T-numbers, progressions, series, functions, Non-Euclidean geometries, paradoxes, linguistic tautologies, and more.

(

**16281**views)