000 | 03209nam a22005295i 4500 | ||
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001 | 978-3-319-17753-3 | ||
003 | DE-He213 | ||
005 | 20190213151446.0 | ||
007 | cr nn 008mamaa | ||
008 | 150708s2015 gw | s |||| 0|eng d | ||
020 |
_a9783319177533 _9978-3-319-17753-3 |
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024 | 7 |
_a10.1007/978-3-319-17753-3 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
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_a519.2 _223 |
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_aHeymann, Matthias. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aMinimum Action Curves in Degenerate Finsler Metrics _h[electronic resource] : _bExistence and Properties / _cby Matthias Heymann. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
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300 |
_aXV, 186 p. 14 illus., 11 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2134 |
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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 | _aDistribution (Probability theory. | |
650 | 0 | _aGeometry. | |
650 | 0 | _aMathematical optimization. | |
650 | 0 | _aMathematics. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aGeometry. _0http://scigraph.springernature.com/things/product-market-codes/M21006 |
650 | 2 | 4 |
_aOptimization. _0http://scigraph.springernature.com/things/product-market-codes/M26008 |
650 | 2 | 4 |
_aMathematics, general. _0http://scigraph.springernature.com/things/product-market-codes/M00009 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319177540 |
776 | 0 | 8 |
_iPrinted edition: _z9783319177526 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2134 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-17753-3 |
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