Cutoff and cookies - interacting walks in random environment:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
|
| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120917-1109992-0-6 Inhaltsverzeichnis |
| Beschreibung: | VI, 142 S. graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV040808626 | ||
| 003 | DE-604 | ||
| 005 | 20130415 | ||
| 007 | t | ||
| 008 | 130311s2012 d||| m||| 00||| eng d | ||
| 035 | |a (OCoLC)835422318 | ||
| 035 | |a (DE-599)BVBBV040808626 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-473 |a DE-703 |a DE-1051 |a DE-824 |a DE-29 |a DE-12 |a DE-91 |a DE-19 |a DE-1049 |a DE-92 |a DE-739 |a DE-898 |a DE-355 |a DE-706 |a DE-20 |a DE-1102 |a DE-91G | ||
| 084 | |a MAT 605d |2 stub | ||
| 100 | 1 | |a Kochler, Thomas |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Cutoff and cookies - interacting walks in random environment |c Thomas Kochler |
| 264 | 1 | |c 2012 | |
| 300 | |a VI, 142 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a München, Techn. Univ., Diss., 2012 | ||
| 650 | 0 | 7 | |a Irrfahrtsproblem |0 (DE-588)4162442-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Rekurrenz |0 (DE-588)7585550-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Transienter Zustand |0 (DE-588)4205298-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mischung |g Mathematik |0 (DE-588)4319045-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Irrfahrtsproblem |0 (DE-588)4162442-7 |D s |
| 689 | 0 | 1 | |a Mischung |g Mathematik |0 (DE-588)4319045-5 |D s |
| 689 | 0 | 2 | |a Transienter Zustand |0 (DE-588)4205298-1 |D s |
| 689 | 0 | 3 | |a Rekurrenz |0 (DE-588)7585550-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o urn:nbn:de:bvb:91-diss-20120917-1109992-0-6 |
| 856 | 4 | 1 | |u http://mediatum.ub.tum.de/node?id=1109992 |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | |u https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120917-1109992-0-6 |x Resolving-System | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025788536&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025788536 | ||
Datensatz im Suchindex
| _version_ | 1804150149854789632 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
INTRODUCTION 1
1 TRANSIENT R W R E 9
1.1 MODEL 9
1.2 CLASSICAL RESULTS AND BASIC NOTATION 10
1.2.1 RECURRENCE/TRANSIENCE AND LINEAR SPEED 10
1.2.2 ANNEALED AND QUENCHED LIMIT LAWS 12
1.3 ASSUMPTIONS AND PRELIMINARY CONSIDERATIONS 16
1.4 RESULTS 19
1.5 ESTIMATES ON THE ENVIRONMENT 23
2 QUENCHED EXPECTATION AND QUENCHED VARIANCE 35
2.1 ASYMPTOTIC OF THE QUENCHED EXPECTATION AND QUENCHED VARIANCE . . . .
35 2.2 LOWER BOUND FOR THE QUENCHED VARIANCE OF THE CROSSING TIME OF
HIGH BLOCKS 41 2.3 UNIFORM INTEGRABILITY 47
3 CUTOFF 53
3.1 INTRODUCTION AND OVERVIEW 53
3.2 STATIONARY DISTRIBUTION 59
3.3 CUTOFF FOR K 1 62
3.4 NO CUTOFF FOR 0 K 1 66
3.5 SIMPLE RANDOM WALK AND BIASED RANDOM WALK 77
3.6 MIXING TIME 79
4 SPECTRAL GAP 8 3
4.1 LOWER AND UPPER BOUNDS 83
5 COOKIE BRANCHING RANDOM WALKS 8 7
5.1 MODEL AND BASIC NOTATION 87
5.2 BRANCHING RANDOM WALK AND COOKIE RANDOM WALK 90
5.3 RESULTS 91
5.4 PRELIMINARIES 92
5.5 PROOFS OF THE MAIN RESULTS 95
V
HTTP://D-NB.INFO/1033923761
IMAGE 2
CONTENTS
5.5.1 PROOF OF THEOREM 5.3.1 95
5.5.2 PROOF OF THEOREM 5.3.2 118
5.5.3 PROOF OF THEOREM 5.3.3 120
5.6 FINAL REMARKS 131
A ERLANG DISTRIBUTION 133
B SECOND MOMENT O F 135
BIBLIOGRAPHY 137
VI
|
| any_adam_object | 1 |
| author | Kochler, Thomas |
| author_facet | Kochler, Thomas |
| author_role | aut |
| author_sort | Kochler, Thomas |
| author_variant | t k tk |
| building | Verbundindex |
| bvnumber | BV040808626 |
| classification_tum | MAT 605d |
| collection | ebook |
| ctrlnum | (OCoLC)835422318 (DE-599)BVBBV040808626 |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02010nam a2200445 c 4500</leader><controlfield tag="001">BV040808626</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130415 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">130311s2012 d||| m||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)835422318</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV040808626</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-1051</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-1049</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-1102</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 605d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kochler, Thomas</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Cutoff and cookies - interacting walks in random environment</subfield><subfield code="c">Thomas Kochler</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 142 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">München, Techn. Univ., Diss., 2012</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Irrfahrtsproblem</subfield><subfield code="0">(DE-588)4162442-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Rekurrenz</subfield><subfield code="0">(DE-588)7585550-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Transienter Zustand</subfield><subfield code="0">(DE-588)4205298-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mischung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4319045-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Irrfahrtsproblem</subfield><subfield code="0">(DE-588)4162442-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mischung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4319045-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Transienter Zustand</subfield><subfield code="0">(DE-588)4205298-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Rekurrenz</subfield><subfield code="0">(DE-588)7585550-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="o">urn:nbn:de:bvb:91-diss-20120917-1109992-0-6</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://mediatum.ub.tum.de/node?id=1109992</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120917-1109992-0-6</subfield><subfield code="x">Resolving-System</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025788536&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ebook</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025788536</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV040808626 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:34:20Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025788536 |
| oclc_num | 835422318 |
| open_access_boolean | 1 |
| owner | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 DE-91G DE-BY-TUM |
| owner_facet | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 DE-91G DE-BY-TUM |
| physical | VI, 142 S. graph. Darst. |
| psigel | ebook |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| record_format | marc |
| spelling | Kochler, Thomas Verfasser aut Cutoff and cookies - interacting walks in random environment Thomas Kochler 2012 VI, 142 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2012 Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf Rekurrenz (DE-588)7585550-1 gnd rswk-swf Transienter Zustand (DE-588)4205298-1 gnd rswk-swf Mischung Mathematik (DE-588)4319045-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Irrfahrtsproblem (DE-588)4162442-7 s Mischung Mathematik (DE-588)4319045-5 s Transienter Zustand (DE-588)4205298-1 s Rekurrenz (DE-588)7585550-1 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20120917-1109992-0-6 http://mediatum.ub.tum.de/node?id=1109992 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120917-1109992-0-6 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025788536&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kochler, Thomas Cutoff and cookies - interacting walks in random environment Irrfahrtsproblem (DE-588)4162442-7 gnd Rekurrenz (DE-588)7585550-1 gnd Transienter Zustand (DE-588)4205298-1 gnd Mischung Mathematik (DE-588)4319045-5 gnd |
| subject_GND | (DE-588)4162442-7 (DE-588)7585550-1 (DE-588)4205298-1 (DE-588)4319045-5 (DE-588)4113937-9 |
| title | Cutoff and cookies - interacting walks in random environment |
| title_auth | Cutoff and cookies - interacting walks in random environment |
| title_exact_search | Cutoff and cookies - interacting walks in random environment |
| title_full | Cutoff and cookies - interacting walks in random environment Thomas Kochler |
| title_fullStr | Cutoff and cookies - interacting walks in random environment Thomas Kochler |
| title_full_unstemmed | Cutoff and cookies - interacting walks in random environment Thomas Kochler |
| title_short | Cutoff and cookies - interacting walks in random environment |
| title_sort | cutoff and cookies interacting walks in random environment |
| topic | Irrfahrtsproblem (DE-588)4162442-7 gnd Rekurrenz (DE-588)7585550-1 gnd Transienter Zustand (DE-588)4205298-1 gnd Mischung Mathematik (DE-588)4319045-5 gnd |
| topic_facet | Irrfahrtsproblem Rekurrenz Transienter Zustand Mischung Mathematik Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1109992 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120917-1109992-0-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025788536&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kochlerthomas cutoffandcookiesinteractingwalksinrandomenvironment |