Anton Bovier

(Author)

Metastability: A Potential-Theoretic Approach (Softcover Reprint of the Original 1st 2015)Paperback - Softcover Reprint of the Original 1st 2015, 31 March 2018

Metastability: A Potential-Theoretic Approach (Softcover Reprint of the Original 1st 2015)
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Part of Series
Grundlehren Der Mathematischen Wissenschaften
Print Length
581 pages
Language
English
Publisher
Springer
Date Published
31 Mar 2018
ISBN-10
3319796763
ISBN-13
9783319796765

Description

This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes.

The authors shed new light on the metastability phenomenon as a sequence of visits of the path of the process to different metastable sets, and focuses on the precise analysis of the respective hitting probabilities and hitting times of these sets.

The theory is illustrated with many examples, ranging from finite-state Markov chains, finite-dimensional diffusions and stochastic partial differential equations, via mean-field dynamics with and without disorder, to stochastic spin-flip and particle-hop dynamics and probabilistic cellular automata, unveiling the common universal features of these systems with respect to their metastable behaviour.

The monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability.

Product Details

Authors:
Anton BovierFrank Den Hollander
Book Edition:
Softcover Reprint of the Original 1st 2015
Book Format:
Paperback
Country of Origin:
NL
Date Published:
31 March 2018
Dimensions:
23.39 x 15.6 x 3.1 cm
ISBN-10:
3319796763
ISBN-13:
9783319796765
Language:
English
Location:
Cham
Pages:
581
Publisher:
Weight:
834.61 gm

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