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006 m     o  d        
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008 160721s2015    sz a    ob    001 0 eng d
020   $a9783319177533
035   $ab14258894-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a516.375$223
084   $aAMS 49-02
084   $aAMS 49J45
084   $aAMS 53C60
084   $aAMS 60F10
084   $aLC QA689.H49
100 1 $aHeymann, Matthias$0716379
245 10$aMinimum action curves in degenerate Finsler metrics$h[e-book] :$bexistence and properties /$cMatthias Heymann
260   $aCham [Switzerland] :$bSpringer,$c2015
300   $a1 online resource (xv, 184 pages)
490 1 $aLecture notes in mathematics,$x1617-9692 ;$v2134
504   $aIncludes bibliographical references and index
520   $aPresenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings. Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise. The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way.
650  0$aFinsler spaces
856 40$uhttp://link.springer.com/book/10.1007/978-3-319-17753-3$zAn electronic book accessible through the World Wide Web
907   $a.b14258894$b03-03-22$c21-07-16
912   $a991002949619707536
996   $aMinimum action curves in degenerate Finsler metrics$91388062
997   $aUNISALENTO
998   $ale013$b21-07-16$cm$d@  $e-$feng$gsz $h0$i0