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Grundlehren der mathematischen Wissenschaften

Metastability

A Potential-Theoretic Approach

Autoren: Bovier, Anton, den Hollander, Frank

  • Presents a concise and authoritative potential-theoretic approach on metastability
  • Reduces questions of interest to the computation of capacities, that in turn can be estimated by exploiting powerful variational principles
  • Deduces detailed information on the spectral characteristics of the generator of the dynamics
  • Unveils the common universal features of metastable systems through numerous examples
Weitere Vorteile

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eBook 91,62 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-24777-9
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-24775-5
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Buch

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.

Über den Autor

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.

Stimmen zum Buch

“No doubt, this is a fundamental book written by well established scientists whose contribution to this area is widely recognized. The book is addressed to readers with serious mathematical background and interests in metastability of stochastic dynamical systems. The books is also an excellent references source.” (Jordan M. Stoyanov, zbMATH 1339.60002, 2016)


Inhaltsverzeichnis (23 Kapitel)

Dieses Buch kaufen

eBook 91,62 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-24777-9
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-24775-5
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Metastability
Buchuntertitel
A Potential-Theoretic Approach
Autoren
Titel der Buchreihe
Grundlehren der mathematischen Wissenschaften
Buchreihen Band
351
Copyright
2015
Verlag
Springer International Publishing
Copyright Inhaber
Springer International Publishing Switzerland
eBook ISBN
978-3-319-24777-9
DOI
10.1007/978-3-319-24777-9
Hardcover ISBN
978-3-319-24775-5
Buchreihen ISSN
0072-7830
Auflage
1
Seitenzahl
XXI, 581
Anzahl der Bilder und Tabellen
14 schwarz-weiß Abbildungen, 82 Abbildungen in Farbe
Themen