Minimum Action Curves in Degenerate Finsler Metrics (Paperback)
Matthias Heymann
ISBN 10: 3319177524 ISBN 13: 9783319177526
Editorial: Springer International Publishing AG, Cham, 2015
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Paperback. Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings.Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise.The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de ref. del artículo 9783319177526
Sinopsis:
Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings.
Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise.
The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way.
De la contraportada:
Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings.
Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise.
The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way.
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Título: Minimum Action Curves in Degenerate Finsler ...
Editorial: Springer International Publishing AG, Cham
Año de publicación: 2015
Encuadernación: Paperback
Condición: new
Edición: 1ª Edición
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Minimum Action Curves in Degenerate Finsler Metrics.
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ISBN 10: 3319177524
ISBN 13: 9783319177526
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Minimum Action Curves in Degenerate Finsler Metrics. Existence and Properties.
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Cham, Springer International Publishing., 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Aufl. 2015. XIII, 184 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Lecture Notes in Mathematics ; 2134. Sprache: Englisch. Nº de ref. del artículo: 9848DB
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Minimum Action Curves in Degenerate Finsler Metrics
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Springer International Publishing, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Explores the non-standard geometric view of the Wentzell-Freidlin theory of rare transition eventsThe general geometric framework may spawn applications outside of probability theoryKey results and their explanations are well-separated from. Nº de ref. del artículo: 35623889
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Minimum Action Curves in Degenerate Finsler Metrics | Existence and Properties
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Springer International Publishing, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Taschenbuch. Condición: Neu. Minimum Action Curves in Degenerate Finsler Metrics | Existence and Properties | Matthias Heymann | Taschenbuch | xv | Englisch | 2015 | Springer International Publishing | EAN 9783319177526 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Nº de ref. del artículo: 104798174
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Minimum Action Curves in Degenerate Finsler Metrics
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Springer International Publishing Jul 2015, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings.Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise.The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way. 204 pp. Englisch. Nº de ref. del artículo: 9783319177526
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Minimum Action Curves in Degenerate Finsler Metrics : Existence and Properties
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ISBN 10: 3319177524
ISBN 13: 9783319177526
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings.Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise.The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way. Nº de ref. del artículo: 9783319177526
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Minimum Action Curves in Degenerate Finsler Metrics
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Springer International Publishing, Springer Nature Switzerland Jul 2015, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves),this monograph focuseson the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action.For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings.Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise.The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 204 pp. Englisch. Nº de ref. del artículo: 9783319177526
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Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties (Lecture Notes in Mathematics)
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