Lectures on Random Interfaces - Couverture souple

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Funaki, Tadahisa

9789811008481: Lectures on Random Interfaces

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ISBN 10 : 9811008485 ISBN 13 : 9789811008481

Editeur : Springer, 2017

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Shows that the microscopic point of view is useful in choosing a real minimizer of a variational problem that determines an interface shape
Is the first book to discuss the stochastic extension of the Sharp interface limit for non-random PDEs

Is one of the few books dealing with the KPZ equation, a recent hot topic in probability theory

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2017
Langue: anglais
ISBN 10: 9811008485
ISBN 13: 9789811008481
Reliure: Broch�
Num�ro d'�dition: 1
Nombre de pages: 152
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9789811008504: Lectures on Random Interfaces

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ISBN 10 : 9811008507 ISBN 13 : 9789811008504
Editeur : Springer, 2016
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Lectures on Random Interfaces

Tadahisa Funaki

Edit� par Springer Nature Singapore Jan 2017, 2017

ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The following four topics in particular are dealt with in the book.Assuming that the interface is represented as a height function measured from a fixed-reference discretized hyperplane, the system is governed by the Hamiltonian of gradient of the height functions. This is a kind of effective interface model called phi-interface model. The scaling limits are studied for Gaussian (or non-Gaussian) random fields with a pinning effect under a situation in which the rate functional of the corresponding large deviation principle has non-unique minimizers.Young diagrams determine decreasing interfaces, and their dynamics are introduced. The large-scale behavior of such dynamics is studied from the points of view of the hydrodynamic limit and non-equilibrium fluctuation theory. Vershik curves are derived in that limit.A sharp interface limit for the Allen-Cahn equation, that is, a reaction-diffusion equation with bistable reaction term, leads to a mean curvature flow for the interfaces. Its stochastic perturbation, sometimes called a time-dependent Ginzburg-Landau model, stochastic quantization, or dynamic P(phi)-model, is considered. Brief introductions to Brownian motions, martingales, and stochastic integrals are given in an infinite dimensional setting. The regularity property of solutions of stochastic PDEs (SPDEs) of a parabolic type with additive noises is also discussed.The Kardar-Parisi-Zhang (KPZ) equation , which describes a growing interface with fluctuation, recently has attracted much attention. This is an ill-posed SPDE and requires a renormalization. Especially its invariant measures are studied. 152 pp. Englisch. N� de r�f. du vendeur 9789811008481

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Lectures on Random Interfaces (SpringerBriefs in Probability and Mathematical Statistics)

Funaki, Tadahisa

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ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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Funaki, Tadahisa

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ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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Funaki, Tadahisa

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Lectures on Random Interfaces

Funaki, Tadahisa (Author)

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ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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Paperback. Etat : Brand New. 138 pages. 9.00x6.10x0.30 inches. In Stock. N� de r�f. du vendeur zk9811008485

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Lectures on Random Interfaces

Tadahisa Funaki

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ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. &nbsp &nbsp&nbspInterfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/. N� de r�f. du vendeur 140458812

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Lectures on Random Interfaces

Tadahisa Funaki

Edit� par Springer Nature Singapore, Springer Nature Singapore Jan 2017, 2017

ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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Taschenbuch. Etat : Neu. Neuware -Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The following four topics in particular are dealt with in the book.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 152 pp. Englisch. N� de r�f. du vendeur 9789811008481

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Lectures on Random Interfaces

Tadahisa Funaki

Edit� par Springer Nature Singapore, Springer Nature Singapore, 2017

ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The following four topics in particular are dealt with in the book.Assuming that the interface is represented as a height function measured from a fixed-reference discretized hyperplane, the system is governed by the Hamiltonian of gradient of the height functions. This is a kind of effective interface model called phi-interface model. The scaling limits are studied for Gaussian (or non-Gaussian) random fields with a pinning effect under a situation in which the rate functional of the corresponding large deviation principle has non-unique minimizers.Young diagrams determine decreasing interfaces, and their dynamics are introduced. The large-scale behavior of such dynamicsis studied from the points of view of the hydrodynamic limit and non-equilibrium fluctuation theory. Vershik curves are derived in that limit.A sharp interface limit for the Allen-Cahn equation, that is, a reaction-diffusion equation with bistable reaction term, leads to a mean curvature flow for the interfaces. Its stochastic perturbation, sometimes called a time-dependent Ginzburg-Landau model, stochastic quantization, or dynamic P(phi)-model, is considered. Brief introductions to Brownian motions, martingales, and stochastic integrals are given in an infinite dimensional setting. The regularity property of solutions of stochastic PDEs (SPDEs) of a parabolic type with additive noises is also discussed.The Kardar-Parisi-Zhang (KPZ) equation , which describes a growing interface with fluctuation, recently has attracted much attention. This is an ill-posed SPDE and requires a renormalization. Especially its invariant measures are studied. N� de r�f. du vendeur 9789811008481

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Tadahisa Funaki

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Lectures on Random Interfaces (SpringerBriefs in Probability and Mathematical Statistics)

Funaki, Tadahisa

Edit� par Springer, 2016

ISBN 10 : 9811008485 ISBN 13 : 9789811008481

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