Date and Time

Random Walks on Disordered Media and their Scaling Limits (Record no. 6955)

000 -LEADER
fixed length control field 03185nam a22005175i 4500
001 - CONTROL NUMBER
control field 978-3-319-03152-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20150803155057.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140124s2014 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319031521
-- 978-3-319-03152-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-03152-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA273.A1-274.9
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA274-274.9
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBT
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWL
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT029000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kumagai, Takashi.
Relator term author.
245 10 - TITLE STATEMENT
Title Random Walks on Disordered Media and their Scaling Limits
Medium [electronic resource] :
Remainder of title École d'Été de Probabilités de Saint-Flour XL - 2010 /
Statement of responsibility, etc by Takashi Kumagai.
264 #1 -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2014.
300 ## - PHYSICAL DESCRIPTION
Extent X, 147 p. 5 illus.
Other physical details online resource.
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-- txt
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-- computer
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-- rdamedia
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-- online resource
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-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 2101
505 0# - FORMATTED CONTENTS NOTE
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.
Summary, etc In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory.   Recently, there has been significant progress on the theory of random walk on 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 showed the anomalous 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
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Potential theory (Mathematics).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Distribution (Probability theory).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Potential Theory.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Discrete Mathematics.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319031514
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 2101
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-319-03152-1
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Holdings
Date acquired Date last seen Damaged status Not for loan Lost status Current Location Koha item type Full call number Permanent Location Price effective from Withdrawn status
2015-08-032015-08-03   Central Library, IISER BhopalE-Books519.2Central Library, IISER Bhopal2015-08-03 



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