9783319177526 - Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties de Heymann, Matthias (10 résultats)

Etat : New. In.

Taschenbuch. Etat : 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.

Paperback. Etat : New.

Taschenbuch. Etat : Neu. 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.

Etat : New.

Etat : New.

Paperback. Etat : Brand New. 190 pages. 9.00x6.00x0.50 inches. In Stock.

Etat : New.

Etat : 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.

Taschenbuch. Etat : 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.