000 -LEADER |
fixed length control field |
02265nam a22004455i 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310154226.0 |
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 |
110704s2011 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642212161 |
|
978-3-642-21216-1 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA273.A1-274.9 |
|
Classification number |
QA274-274.9 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
519.2 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
|
-- |
ZDB-2-LNM |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Le Jan, Yves. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Markov Paths, Loops and Fields |
Medium |
[electronic resource] : |
Remainder of title |
École d'Été de Probabilités de Saint-Flour XXXVIII – 2008 / |
Statement of responsibility, etc |
by Yves Le Jan. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VIII, 124p. 9 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Lecture Notes in Mathematics, |
International Standard Serial Number |
0075-8434 ; |
Volume number/sequential designation |
2026 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
1 Symmetric Markov processes on finite spaces -- 2 Loop measures -- 3 Geodesic loops -- 4 Poisson process of loops -- 5 The Gaussian free field -- 6 Energy variation and representations -- 7 Decompositions -- 8 Loop erasure and spanning trees -- 9 Reflection positivity -- 10 The case of general symmetric Markov processes. |
520 ## - SUMMARY, ETC. |
Summary, etc |
The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the free field. These relations are first studied in complete generality for the finite discrete setting, then partly generalized to specific examples in infinite and continuous spaces. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Potential theory (Mathematics). |
|
Topical term or geographic name as entry element |
Distribution (Probability theory). |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
|
Topical term or geographic name as entry element |
Potential Theory. |
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 |
9783642212154 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-21216-1 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |