MARC details
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04830cam a2200733 i 4500 |
| 001 - CONTROL NUMBER |
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ocn870998625 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250703133341.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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140225t20142014sz a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
GZM |
| Language of cataloging |
eng |
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rda |
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pn |
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GZM |
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UKMGB |
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SFB |
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COO |
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OCLCO |
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OCLCQ |
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YOU |
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OCLCQ |
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OCLCQ |
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OCLCQ |
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OCLCO |
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SXB |
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OCLCQ |
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OCLCO |
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S9M |
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OCLCL |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
016636128 |
| Source |
Uk |
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881080826 |
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964891887 |
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1005766842 |
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1048136631 |
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1086474397 |
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1110805755 |
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1112533644 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319031521 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
331903152X |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9783319031514 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
3319031511 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-03152-1 |
| Source of number or code |
doi |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000058347946 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000060382621 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
CHNEW |
| System control number |
001022240 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
CHVBK |
| System control number |
530306964 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NLGGC |
| System control number |
384131948 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
15396674 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
15905703 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)870998625 |
| Canceled/invalid control number |
(OCoLC)881080826 |
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(OCoLC)964891887 |
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(OCoLC)1005766842 |
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(OCoLC)1048136631 |
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(OCoLC)1086474397 |
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(OCoLC)1110805755 |
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(OCoLC)1112533644 |
| 037 ## - SOURCE OF ACQUISITION |
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| Source of stock number/acquisition |
Springer |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA274.73 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBT |
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bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBWL |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT029000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.2 |
| Edition number |
23 |
| -- |
https://id.oclc.org/worldcat/ddc/E3m3d7kt3KQ7KTdh4XVbfC3PKm |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Kumagai, Takashi, |
| Dates associated with a name |
1967- |
| Relator term |
author. |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJbCGp4rFgvkBCmGrd7PwC |
| 9 (RLIN) |
79036 |
| 245 10 - TITLE STATEMENT |
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| Title |
Random walks on disordered media and their scaling limits : |
| Remainder of title |
École d'Été de Probabilités de Saint-Flour XL-2010 / |
| Statement of responsibility, etc. |
Takashi Kumagai. |
| 246 30 - VARYING FORM OF TITLE |
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| Title proper/short title |
École d'Été de Probabilités de Saint-Flour XL-2010 |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Cham [Switzerland] ; |
| -- |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2014] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Date of production, publication, distribution, manufacture, or copyright notice |
©2014 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (x, 147 pages) : |
| Other physical details |
illustrations |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| Encoding format |
PDF |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Lecture notes in mathematics, |
| International Standard Serial Number |
1617-9692 ; |
| Volume/sequential designation |
2101 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 135-143) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
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. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
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. |
| 546 ## - LANGUAGE NOTE |
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| Language note |
English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Online resource; title from PDF title page (SpringerLink, viewed February 25, 2014). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Random walks (Mathematics) |
| 9 (RLIN) |
6019 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Marches aléatoires (Mathématiques) |
| 9 (RLIN) |
71047 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Recorridos aleatorios (Matemáticas) |
| Source of heading or term |
embucm |
| 9 (RLIN) |
973651 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Random walks (Mathematics) |
| Source of heading or term |
fast |
| 9 (RLIN) |
6019 |
| 758 ## - |
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| -- |
has work: |
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Random walks on disordered media and their scaling limits (Text) |
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https://id.oclc.org/worldcat/entity/E39PCG4M3KmqdTY4yVdvbJ34YK |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Print version: |
| Main entry heading |
Kumagai, Takashi. |
| Title |
Random walks on disordered media and their scaling limits. |
| Place, publisher, and date of publication |
Cham [Switzerland] ; New York : Springer, ©2014 |
| International Standard Book Number |
3319031511 |
| Record control number |
(OCoLC)861734370 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
2101. |
| International Standard Serial Number |
0075-8434 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-319-03152-1">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-319-03152-1</a> |
| 938 ## - |
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Askews and Holts Library Services |
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ASKH |
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AH29494593 |
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EBL - Ebook Library |
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EBLB |
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EBL3107053 |
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YBP Library Services |
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YANK |
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11628524 |
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92 |
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ATIST |