02348cam a2200349 i 4500991002949619707536m o d cr cnu||||||||160721s2015 sz a ob 001 0 eng d9783319177533b14258894-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng516.37523AMS 49-02AMS 49J45AMS 53C60AMS 60F10LC QA689.H49Heymann, Matthias716379Minimum action curves in degenerate Finsler metrics[e-book] :existence and properties /Matthias HeymannCham [Switzerland] :Springer,20151 online resource (xv, 184 pages)Lecture notes in mathematics,1617-9692 ;2134Includes bibliographical references and indexPresenting 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.Finsler spaceshttp://link.springer.com/book/10.1007/978-3-319-17753-3An electronic book accessible through the World Wide Web.b1425889403-03-2221-07-16991002949619707536Minimum action curves in degenerate Finsler metrics1388062UNISALENTOle01321-07-16m@ -engsz 0000816nam0-22002771i-450 99000204373040332120250310125150.000020437320021010d1965----km-y0itay50------baengFIa m001yyList of the Plecoptera of Eastern FennoscandiaMartin MeinanderHelsinkiSocietas pro Fauna et Flora Fennica196538 p.26 cmFauna Fennica19EntomologiaPlecoptera595.73523itaMeinander,Martin87019ITUNINARICAUNIMARCBK990002043730403321B ENT 17101/0271/25FAGBCFAGBCList of the Plecoptera of Eastern Fennoscandia406946UNINA