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000728165 020__ $$a9783319177533$$qelectronic book
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000728165 08204 $$a516.3/75$$223
000728165 1001_ $$aHeymann, Matthias,$$eauthor.
000728165 24510 $$aMinimum action curves in degenerate Finsler metrics$$h[electronic resource] :$$bexistence and properties /$$cMatthias Heymann.
000728165 264_1 $$aCham :$$bSpringer,$$c[2015]
000728165 300__ $$a1 online resource (xv, 184 pages) :$$billustrations.
000728165 336__ $$atext$$2rdacontent
000728165 337__ $$acomputer$$2rdamedia
000728165 338__ $$aonline resource$$2rdacarrier
000728165 347__ $$atext file$$bPDF$$2rda
000728165 4901_ $$aLecture notes in mathematics,$$x1617-9692 ;$$v2134
000728165 504__ $$aIncludes bibliographical references and index.
000728165 506__ $$aAccess limited to authorized users.
000728165 520__ $$aPresenting 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. .
000728165 588__ $$aDescription based on online resource; title from PDF title page (SpringerLink, viewed Jul. 15, 2015)
000728165 650_0 $$aFinsler spaces.
000728165 650_0 $$aMathematics.
000728165 7102_ $$aSpringerLink (Online service)
000728165 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$v2134.
000728165 852__ $$bebk
000728165 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-17753-3$$zOnline Access$$91397441.1
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000728165 980__ $$aEBOOK
000728165 980__ $$aBIB
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000728165 983__ $$aOnline
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