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Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties: 2134 (Lecture Notes in Mathematics) - Tapa blanda
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
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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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Minimum Action Curves in Degenerate Finsler Metrics.
Publicado por
Berlin, Springer Nature, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Librería: Antiquariat Bookfarm, Löbnitz, Alemania
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04709 9783319177526 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2490949
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Minimum Action Curves in Degenerate Finsler Metrics. Existence and Properties.
Publicado por
Cham, Springer International Publishing., 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Tapa blanda
Librería: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Alemania
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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 : Existence and Properties
Publicado por
Springer International Publishing, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 25477703/12
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Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties (Lecture Notes in Mathematics)
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Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties (Lecture Notes in Mathematics)
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Minimum Action Curves in Degenerate Finsler Metrics
Publicado por
Springer International Publishing Jul 2015, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
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
Cantidad disponible: 2 disponibles
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Minimum Action Curves in Degenerate Finsler Metrics : Existence and Properties
Publicado por
Springer International Publishing, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
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
Cantidad disponible: 1 disponibles
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Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties (Lecture Notes in Mathematics, 2134)
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Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties (Lecture Notes in Mathematics)
Librería: Biblios, Frankfurt am main, HESSE, Alemania
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Condición: Used. pp. 184. Nº de ref. del artículo: 18372447277
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Minimum Action Curves in Degenerate Finsler Metrics
Publicado por
Springer International Publishing, 2015
ISBN 10: 3319177524
ISBN 13: 9783319177526
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
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
Cantidad disponible: Más de 20 disponibles