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: Complex and Adaptive Dynamical Systems: A PrimerComplex and Adaptive Dynamical Systems: A Primer
by - arXiv
This textbook covers a wide range of concepts, notions and phenomena of a truly interdisciplinary subject. Complex system theory deals with dynamical systems containing a very large number of variables, showing a plethora of emergent features.
(9761 views)
Book cover: Mathematical Principals of Dynamic Systems and the Foundations of Quantum PhysicsMathematical Principals of Dynamic Systems and the Foundations of Quantum Physics
by - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(6261 views)
Book cover: An Introduction to Dynamical Systems and ChaosAn Introduction to Dynamical Systems and Chaos
by - LDEO
This tutorial will develop the basics ingredients necessary for modeling simple non-linear dynamical systems. The goal is to demonstrate you that you can develop significant insight into the behavior of non-linear systems with just a little math.
(6227 views)
Book cover: Hyperbolic Manifolds, Discrete Groups and Ergodic TheoryHyperbolic Manifolds, Discrete Groups and Ergodic Theory
by - Harvard University
Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); etc.
(3305 views)