Random walks on disordered media and their scaling limits: École d'Été de Probabilités de Saint-Flour XL - 2010
Gespeichert in:
Beteilige Person: | |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
Schriftenreihe: | Lecture notes in mathematics
2101 |
Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-319-03152-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027143893&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027143893&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | 1 Online-Ressource (X, 147 S.) Ill., graph. Darst. |
ISBN: | 9783319031521 |
DOI: | 10.1007/978-3-319-03152-1 |
Internformat
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Datensatz im Suchindex
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adam_text | RANDOM WALKS ON DISORDERED MEDIA AND THEIR SCALING LIMITS
/ KUMAGAI, TAKASHI
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
WEIGHTED GRAPHS AND THE ASSOCIATED MARKOV CHAINS
HEAT KERNEL ESTIMATES – GENERAL THEORY
HEAT KERNEL ESTIMATES USING EFFECTIVE RESISTANCE
HEAT KERNEL ESTIMATES FOR RANDOM WEIGHTED GRAPHS
ALEXANDER-ORBACH CONJECTURE HOLDS WHEN TWO-POINT FUNCTIONS BEHAVE NICELY
FURTHER RESULTS FOR RANDOM WALK ON IIC
RANDOM CONDUCTANCE MODEL
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
RANDOM WALKS ON DISORDERED MEDIA AND THEIR SCALING LIMITS
/ KUMAGAI, TAKASHI
: 2014
ABSTRACT / INHALTSTEXT
IN THESE LECTURE NOTES, WE WILL ANALYZE THE BEHAVIOR OF RANDOM WALK ON
DISORDERED MEDIABY MEANS OFBOTH PROBABILISTIC AND ANALYTIC METHODS,
AND WILL STUDY THE SCALINGLIMITS. WE WILL FOCUS ON THE DISCRETE
POTENTIAL THEORY AND HOW THE THEORY IS EFFECTIVELY USED IN THE ANALYSIS
OF DISORDERED MEDIA.THEFIRST FEW CHAPTERS OF THE NOTES CAN BE USED
AS AN INTRODUCTION TO DISCRETE POTENTIAL THEORY. RECENTLY, THERE HAS
BEENSIGNIFICANTPROGRESS ON THETHEORYOF RANDOM WALKON
DISORDERED MEDIA SUCH AS FRACTALS AND RANDOM MEDIA.RANDOM WALK ON A
PERCOLATION CLUSTER(‘THE ANT IN THE LABYRINTH’)IS ONE OF THE
TYPICAL EXAMPLES. IN 1986, H. KESTEN SHOWEDTHEANOMALOUS BEHAVIOR OF
A RANDOM WALK ON A PERCOLATION CLUSTER AT CRITICAL PROBABILITY. PARTLY
MOTIVATED BY THIS WORK, ANALYSIS AND DIFFUSION PROCESSES ON FRACTALS
HAVE BEEN DEVELOPED SINCE THE LATE EIGHTIES. AS A RESULT, VARIOUS NEW
METHODS HAVE BEEN PRODUCED TO ESTIMATE HEAT KERNELS ON DISORDERED MEDIA.
THESE DEVELOPMENTS ARE SUMMARIZED IN THE NOTES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Kumagai, Takashi |
author_facet | Kumagai, Takashi |
author_role | aut |
author_sort | Kumagai, Takashi |
author_variant | t k tk |
building | Verbundindex |
bvnumber | BV041703604 |
classification_rvk | SI 850 |
classification_tum | MAT 000 MAT 059f MAT 605f MAT 315f |
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ctrlnum | (OCoLC)869715409 (DE-599)BVBBV041703604 |
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 | 10.1007/978-3-319-03152-1 |
format | Electronic eBook |
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indexdate | 2024-12-20T16:53:03Z |
institution | BVB |
isbn | 9783319031521 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027143893 |
oclc_num | 869715409 |
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physical | 1 Online-Ressource (X, 147 S.) Ill., graph. Darst. |
psigel | ZDB-2-LNM ZDB-2-SMA |
publishDate | 2014 |
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publisher | Springer |
record_format | marc |
series | Lecture notes in mathematics |
series2 | Lecture notes in mathematics |
spellingShingle | Kumagai, Takashi Random walks on disordered media and their scaling limits École d'Été de Probabilités de Saint-Flour XL - 2010 Lecture notes in mathematics Potenzialtheorie (DE-588)4046939-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd |
subject_GND | (DE-588)4046939-6 (DE-588)4121894-2 (DE-588)4162442-7 |
title | Random walks on disordered media and their scaling limits École d'Été de Probabilités de Saint-Flour XL - 2010 |
title_auth | Random walks on disordered media and their scaling limits École d'Été de Probabilités de Saint-Flour XL - 2010 |
title_exact_search | Random walks on disordered media and their scaling limits École d'Été de Probabilités de Saint-Flour XL - 2010 |
title_full | Random walks on disordered media and their scaling limits École d'Été de Probabilités de Saint-Flour XL - 2010 Takashi Kumagai |
title_fullStr | Random walks on disordered media and their scaling limits École d'Été de Probabilités de Saint-Flour XL - 2010 Takashi Kumagai |
title_full_unstemmed | Random walks on disordered media and their scaling limits École d'Été de Probabilités de Saint-Flour XL - 2010 Takashi Kumagai |
title_short | Random walks on disordered media and their scaling limits |
title_sort | random walks on disordered media and their scaling limits ecole d ete de probabilites de saint flour xl 2010 |
title_sub | École d'Été de Probabilités de Saint-Flour XL - 2010 |
topic | Potenzialtheorie (DE-588)4046939-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd |
topic_facet | Potenzialtheorie Wahrscheinlichkeitsverteilung Irrfahrtsproblem |
url | https://doi.org/10.1007/978-3-319-03152-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027143893&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027143893&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV014303148 |
work_keys_str_mv | AT kumagaitakashi randomwalksondisorderedmediaandtheirscalinglimitsecoledetedeprobabilitesdesaintflourxl2010 |