Random walks in random environment: random orientations and branching
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121220-1115341-0-5 Inhaltsverzeichnis |
| Beschreibung: | IV, 163 S. |
Internformat
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| 245 | 1 | 0 | |a Random walks in random environment |b random orientations and branching |c Michael Kochler |
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Datensatz im Suchindex
| _version_ | 1804150121217130496 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
INTRODUCTION 1
I R A N D O M WALKS IN R A N D O M ENVIRONMENT 5
1 PRELIMINARIES 7
1.1 BASIC NOTATION AND GENERAL ASSUMPTIONS 7
1.2 CLASSICAL AND RECENT RESULTS 8
1.3 CONTEXT OF OUR RESULTS 11
1.3.1 RETURN PROBABILITIES OF THE RECURRENT RWRE 11
1.3.2 RANDOM ORIENTATIONS 13
1.3.3 RWRE IN RANDOM SCENERY 16
2 STRONG RECURRENCE O F RECURRENT R W R E 19
2.1 OVERVIEW 19
2.2 MODEL AND NOTATION 19
2.3 PRELIMINARIES 21
2.4 RESULTS 22
2.5 PROOFS 22
2.6 EXAMPLES FOR RECURRENT RANDOM WALKS IN RANDOM ENVIRONMENTS 33
3 R W R E W I T H R A N D O M ORIENTATIONS 3 9
3.1 OVERVIEW 39
3.2 MODEL AND RESULTS 39
3.3 CONSTRUCTION OF THE VALLEYS 42
3.3.1 CONSIDERATION OF A TWO-SIDED BROWNIAN MOTION 42
3.3.2 ASSOCIATED VALLEYS OF THE POTENTIAL AND THEIR PROPERTIES 57
3.4 PREPARATION FOR THE PROOFS 77
3.4.1 PRELIMINARIES 77
3.4.2 NOTATION 77
3.4.3 BEHAVIOUR OF THE DRIFT WITHIN THE VALLEYS 80
3.4.4 STRONG LOCALIZATION OF THE RWRE 83
3.5 PROOFS 112
3.6 A FINAL EXTENSION OF RWRE WITH RANDOM ORIENTATIONS 118
III
HTTP://D-NB.INFO/1032743867
IMAGE 2
CONTENTS
II RANDOM WALKS IN R A N D O M ENVIRONMENT W I T H BRANCHING 125
4 PRELIMINARIES 1 2 7
4.1 BASIC NOTATION AND GENERAL ASSUMPTIONS 127
4.2 CLASSICAL RESULTS 127
4.3 CONTEXT OF OUR RESULTS 129
4.3.1 SURVIVAL OF BRWRE 129
4.3.2 GROWTH OF BRWRE 133
5 SURVIVAL A N D G R O W T H O F A B R W R E 137
5.1 OVERVIEW 137
5.2 FORMAL DESCRIPTION OF THE MODEL 137
5.3 RESULTS 139
5.4 REMARKS 141
5.5 PROOFS 143
5.6 EXAMPLES 158
BIBLIOGRAPHY 161
IV
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| any_adam_object | 1 |
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| dewey-search | 519.282 |
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| discipline | Mathematik |
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| spelling | Kochler, Michael Verfasser aut Random walks in random environment random orientations and branching Michael Kochler 2012 IV, 163 S. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2012 Rekurrenter Zustand (DE-588)4824795-9 gnd rswk-swf Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Irrfahrtsproblem (DE-588)4162442-7 s Rekurrenter Zustand (DE-588)4824795-9 s Verzweigungsprozess (DE-588)4188184-9 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20121220-1115341-0-5 http://mediatum.ub.tum.de/node?id=1115341 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121220-1115341-0-5 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025767880&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kochler, Michael Random walks in random environment random orientations and branching Rekurrenter Zustand (DE-588)4824795-9 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Verzweigungsprozess (DE-588)4188184-9 gnd |
| subject_GND | (DE-588)4824795-9 (DE-588)4162442-7 (DE-588)4188184-9 (DE-588)4113937-9 |
| title | Random walks in random environment random orientations and branching |
| title_auth | Random walks in random environment random orientations and branching |
| title_exact_search | Random walks in random environment random orientations and branching |
| title_full | Random walks in random environment random orientations and branching Michael Kochler |
| title_fullStr | Random walks in random environment random orientations and branching Michael Kochler |
| title_full_unstemmed | Random walks in random environment random orientations and branching Michael Kochler |
| title_short | Random walks in random environment |
| title_sort | random walks in random environment random orientations and branching |
| title_sub | random orientations and branching |
| topic | Rekurrenter Zustand (DE-588)4824795-9 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Verzweigungsprozess (DE-588)4188184-9 gnd |
| topic_facet | Rekurrenter Zustand Irrfahrtsproblem Verzweigungsprozess Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1115341 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121220-1115341-0-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025767880&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kochlermichael randomwalksinrandomenvironmentrandomorientationsandbranching |