Anton Bovier

(Author)

Metastability: A Potential-Theoretic Approach (2015)Hardcover - 2015, 19 February 2016

Metastability: A Potential-Theoretic Approach (2015)
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Part of Series
Grundlehren Der Mathematischen Wissenschaften
Print Length
581 pages
Language
English
Publisher
Springer
Date Published
19 Feb 2016
ISBN-10
3319247751
ISBN-13
9783319247755

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:
2015
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
19 February 2016
Dimensions:
23.39 x 15.6 x 3.33 cm
ISBN-10:
3319247751
ISBN-13:
9783319247755
Language:
English
Location:
Cham
Pages:
581
Publisher:
Weight:
1016.05 gm

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