Metastability: A Potential-theoretic Approach

March 31, 2018|
Metastability: A Potential-theoretic Approach by Anton Bovier
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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.

Anton Bovier is Professor of Mathematics at the University of Bonn.  His research concerns applications of probability theory in physics and biology, with a focus on statistical mechanics, metastability and ageing. He has published over 130 scientific papers, and a monograph on "Statistical Mechanics of Disordered Systems&quo...
Title:Metastability: A Potential-theoretic Approach
Product dimensions:581 pages, 9.25 X 6.1 X 0 in
Shipping dimensions:581 pages, 9.25 X 6.1 X 0 in
Published:March 31, 2018
Publisher:Springer Nature
Appropriate for ages:All ages
ISBN - 13:9783319796765

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