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: Dynamics, Ergodic Theory, and GeometryDynamics, Ergodic Theory, and Geometry
by - 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.
(10554 views)
Book cover: Variational Modelling: Energies, gradient flows, and large deviationsVariational Modelling: Energies, gradient flows, and large deviations
by - arXiv
The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.
(4459 views)
Book cover: Stability Analysis via Matrix Functions MethodStability Analysis via Matrix Functions Method
by - Bookboon
The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).
(4504 views)
Book cover: Data Assimilation: A Mathematical IntroductionData Assimilation: A Mathematical Introduction
by - arXiv.org
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.
(876 views)