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: Chaos: Classical and QuantumChaos: Classical and Quantum
by - ChaosBook.org
This is a graduate textbook on classical and quantum chaos, applicable to problems of physics, chemistry and other sciences. It represents an attempt to formulate the subject as one of the cornerstones of the graduate physics curriculum of future.
(11557 views)
Book cover: Around the Boundary of Complex DynamicsAround the Boundary of Complex Dynamics
by - arXiv
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced...
(2948 views)
Book cover: The Chaos HypertextbookThe Chaos Hypertextbook
by
This book is written for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians.
(9771 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.
(6769 views)