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
The Hopf Bifurcation and Its Applicationsby J. E. Marsden, M. McCracken - Springer
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
(16361 views)
Fractal Analysisby Sid-Ali Ouadfeul (ed.) - InTech
The aim of this book is to show some applications of fractal analysis in the sciences. The first chapter introduces the readers to the book, while the second chapter shows the methods and challenges of fractal analysis of time-series data sets...
(7536 views)
A Short Introduction to Classical and Quantum Integrable Systemsby O. Babelon
An introduction to integrable systems. From the table of contents: Integrable dynamical systems; Solution by analytical methods; Infinite dimensional systems; The Jaynes-Cummings-Gaudin model; The Heisenberg spin chain; Nested Bethe Ansatz.
(14375 views)
Complex Dynamics and Renormalizationby 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.
(10880 views)