Metastability: A Potential-Theoretic Approach by Bovier, Anton

Metastability: A Potential-Theoretic Approach (Hardcover) (ISBN-13: 9783319247755)

Vendor: Anton Bovier
Product type: Books
Format: Hardcover
$159.99
$159.99
$159.99
Subtotal: $159.99
Metastability: A Potential-Theoretic Approach by Bovier, Anton

Metastability: A Potential-Theoretic Approach

$159.99
Metastability: A Potential-Theoretic Approach by Bovier, Anton

Metastability: A Potential-Theoretic Approach

$159.99
Format: Hardcover
Description
Description
x

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.



Author: Anton Bovier, Frank Den Hollander
ISBN-10: 3319247751
ISBN-13: 9783319247755
Publisher: Springer
Language: English
Published: 02/19/2016
Pages: 581
Format: Hardcover
Weight: 2.24lbs
Size: 9.21h x 6.14w x 1.31d
By Anton Bovier
By Anton Bovier
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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". He is a Fellow of the Institute for Mathematical Statistics. He is member of the Clusters of Excellence "Hausdorff Centre for Mathematics" and "ImmunoSensation", both at the University of Bonn.

Frank den Hollander is Professor of Mathematics at Leiden University. His research focuses on probability theory, statistical physics, population dynamics and complex networks. He has published over 150 scientific papers, and two monographs on "Large Deviations" and "Random Polymers". He is a member of the Royal Dutch Academy of Sciences, and a Fellow of the American Mathematical Society and of the Institute of Mathematical Statistics. He is recipient of a 5-year Advanced Grant by the European Research Council and a 10-year consortium grant by the Dutch Ministry of Education, Culture and Science.

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