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Metastability:A Potential-Theoretic Approach

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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.

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Detail Information

Series Title

Grundlehren der mathematischen Wissenschaften

Call Number

-

Publisher

: ., 2015

Collation

XXI, 581

Language

English

ISBN/ISSN

0072-7830

Classification

NONE

Content Type

-

Media Type

-

Carrier Type

-

Edition

1

Subject(s)

Probability Theory
Mathematical Physics
Theoretical
Mathematical and Computational Physics

Specific Detail Info

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Statement of Responsibility

Anton Bovier

Other Information

Cataloger

Devi

Source

-

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