東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Minimum action curves in degenerate ...

Heymann, Matthias.

FindBook

Google Book

Amazon

博客來

Minimum action curves in degenerate Finsler metrics = existence and properties /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Minimum action curves in degenerate Finsler metrics/ by Matthias Heymann.
其他題名:	existence and properties /
作者:	Heymann, Matthias.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xv, 186 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Finsler spaces. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-17753-3
ISBN:	9783319177533 (electronic bk.)

Minimum action curves in degenerate Finsler metrics = existence and properties /
Heymann, Matthias.

Minimum action curves in degenerate Finsler metricsexistence and properties /[electronic resource] :by Matthias Heymann. - Cham :Springer International Publishing :2015. - xv, 186 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21340075-8434 ;. - Lecture notes in mathematics ;2046..

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.

ISBN: 9783319177533 (electronic bk.)

Standard No.: 10.1007/978-3-319-17753-3doiSubjects--Topical Terms:

704987
Finsler spaces.

LC Class. No.: QA689 / .H49 2015

Dewey Class. No.: 516.375

Minimum action curves in degenerate Finsler metrics = existence and properties /
LDR:02099nmm a2200325 a 4500 001 2009118
003 DE-He213
005 20160217165541.0
006 m d
007 cr nn 008maaau
008 160311s2015 gw s 0 eng d
020 $a 9783319177533 (electronic bk.)
020 $a 9783319177526 (paper)
024 7 $a 10.1007/978-3-319-17753-3 $2 doi
035 $a 978-3-319-17753-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA689 $b .H49 2015
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 516.375 $2 23
090 $a QA689 $b .H618 2015
100 1 $a Heymann, Matthias. $3 2157968
245 1 0 $a Minimum action curves in degenerate Finsler metrics $h [electronic resource] : $b existence and properties / $c by Matthias Heymann.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xv, 186 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2134
520 $a 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.
650 0 $a Finsler spaces. $3 704987
650 0 $a Mathematics. $3 515831
650 2 4 $a Geometry. $3 517251
650 2 4 $a Optimization. $3 891104
650 2 4 $a Mathematics, general. $3 895821
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2046. $3 1534285
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-17753-3
950 $a Mathematics and Statistics (Springer-11649)