Minimum action curves in degenerate Finsler metrics: existence and properties
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Lecture Notes in Mathematics
2134 |
| Subjects: | |
| Online Access: | Volltext Abstract |
| Physical Description: | 1 Online-Ressource (XV, 186 S.) 14 illus., 11 illus. in color |
| ISBN: | 9783319177533 9783319177526 |
| ISSN: | 0075-8434 |
| DOI: | 10.1007/978-3-319-17753-3 |
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Record in the Search Index
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| adam_text | MINIMUM ACTION CURVES IN DEGENERATE FINSLER METRICS
/ HEYMANN, MATTHIAS
: 2015
ABSTRACT / INHALTSTEXT
PRESENTING A STUDY OF GEOMETRIC ACTION FUNCTIONALS (I.E., NON-NEGATIVE
FUNCTIONALS ON THE SPACE OF UNPARAMETERIZED ORIENTED RECTIFIABLE
CURVES),THIS MONOGRAPH FOCUSESON 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.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Heymann, Matthias 1977- |
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| classification_tum | MAT 000 |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-17753-3 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:08:24Z |
| institution | BVB |
| isbn | 9783319177533 9783319177526 |
| issn | 0075-8434 |
| language | English |
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| spelling | Heymann, Matthias 1977- Verfasser (DE-588)1075862248 aut Minimum action curves in degenerate Finsler metrics existence and properties Matthias Heymann Cham [u.a.] Springer 2015 1 Online-Ressource (XV, 186 S.) 14 illus., 11 illus. in color txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2134 0075-8434 Mathematics Geometry Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Optimization Mathematics, general Mathematik Lecture Notes in Mathematics 2134 (DE-604)BV014303148 2134 https://doi.org/10.1007/978-3-319-17753-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161382&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Heymann, Matthias 1977- Minimum action curves in degenerate Finsler metrics existence and properties Lecture Notes in Mathematics Mathematics Geometry Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Optimization Mathematics, general Mathematik |
| title | Minimum action curves in degenerate Finsler metrics existence and properties |
| title_auth | Minimum action curves in degenerate Finsler metrics existence and properties |
| title_exact_search | Minimum action curves in degenerate Finsler metrics existence and properties |
| title_full | Minimum action curves in degenerate Finsler metrics existence and properties Matthias Heymann |
| title_fullStr | Minimum action curves in degenerate Finsler metrics existence and properties Matthias Heymann |
| title_full_unstemmed | Minimum action curves in degenerate Finsler metrics existence and properties Matthias Heymann |
| title_short | Minimum action curves in degenerate Finsler metrics |
| title_sort | minimum action curves in degenerate finsler metrics existence and properties |
| title_sub | existence and properties |
| topic | Mathematics Geometry Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Optimization Mathematics, general Mathematik |
| topic_facet | Mathematics Geometry Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Optimization Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-3-319-17753-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161382&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014303148 |
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