MARC details
| 000 -LEADER |
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| fixed length control field |
03531cam a2200685 a 4500 |
| 001 - CONTROL NUMBER |
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ocn747412210 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250703133253.0 |
| 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 cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
060525s2011 gw a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
E7B |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
E7B |
| Modifying agency |
OCLCQ |
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UKMGB |
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MYG |
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GW5XE |
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COO |
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OCLCQ |
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OCLCF |
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DKDLA |
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OCLCQ |
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YDXCP |
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OCLCQ |
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AU@ |
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OCLCQ |
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VT2 |
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ESU |
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IOG |
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OCL |
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CEF |
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OCLCQ |
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U3W |
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YOU |
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UX0 |
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OCL |
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CNTRU |
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OCLCQ |
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AJS |
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OCLCO |
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OCLCQ |
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OCLCO |
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OCLCL |
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S9M |
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OCLCQ |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
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| National bibliography number |
GBB1A6721 |
| Source |
bnb |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
015861388 |
| Source |
Uk |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
015885887 |
| Source |
Uk |
| 019 ## - |
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846892822 |
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964876489 |
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1048132610 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642212161 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3642212166 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3642212158 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642212154 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9783642212154 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-642-21216-1 |
| Source of number or code |
doi |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000051332568 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
13941302 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)747412210 |
| Canceled/invalid control number |
(OCoLC)846892822 |
| -- |
(OCoLC)964876489 |
| -- |
(OCoLC)1048132610 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA274.7 |
| Item number |
.L4 2011eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBT |
| Source |
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 |
519.2/33 |
| Edition number |
23 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Le Jan, Y. |
| Fuller form of name |
(Yves), |
| Dates associated with a name |
1952- |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJyhjjXQqwgrk36trk8wG3 |
| 9 (RLIN) |
70459 |
| 245 10 - TITLE STATEMENT |
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| Title |
Markov paths, loops and fields : |
| Remainder of title |
ecole dété de Probabilités de Saint-Flour XXXVIII-2008 / |
| Statement of responsibility, etc. |
Yves Le Jan. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Berlin ; |
| -- |
Heidelberg : |
| Name of publisher, distributor, etc. |
Springer-Verlag, |
| Date of publication, distribution, etc. |
©2011. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (viii, 124 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 |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Lecture notes in mathematics ; |
| Volume/sequential designation |
2026 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Print version record. |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Miscellaneous information |
1 -- |
| Title |
Symmetric Markov processes on finite spaces |
| Miscellaneous information |
2 -- |
| Title |
Loop measures |
| Miscellaneous information |
3 -- |
| Title |
Geodesic loops |
| Miscellaneous information |
4 -- |
| Title |
Poisson process of loops |
| Miscellaneous information |
5 -- |
| Title |
The Gaussian free field |
| Miscellaneous information |
6 -- |
| Title |
Energy variation and representations |
| Miscellaneous information |
7 -- |
| Title |
Decompositions |
| Miscellaneous information |
8 -- |
| Title |
Loop erasure and spanning trees |
| Miscellaneous information |
9 -- |
| Title |
Reflection positivity |
| Miscellaneous information |
10 -- |
| Title |
The case of general symmetric Markov processes. |
| 520 ## - SUMMARY, ETC. |
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| 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. |
| 546 ## - LANGUAGE NOTE |
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| Language note |
English. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Markov processes. |
| 9 (RLIN) |
4962 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Stochastic processes. |
| 9 (RLIN) |
1109 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Processus de Markov. |
| 9 (RLIN) |
78421 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Processus stochastiques. |
| 9 (RLIN) |
11127 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Markov, Procesos de |
| Source of heading or term |
embucm |
| 9 (RLIN) |
973528 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Stochastic processes |
| Source of heading or term |
embucm |
| 9 (RLIN) |
1109 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Markov processes |
| Source of heading or term |
fast |
| 9 (RLIN) |
4962 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Stochastic processes |
| Source of heading or term |
fast |
| 9 (RLIN) |
1109 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| Main entry heading |
Le Jan, Y. (Yves), 1952- |
| Title |
Markov paths, loops and fields. |
| Place, publisher, and date of publication |
Berlin ; Heidelberg : Springer-Verlag, ©2011 |
| International Standard Book Number |
9783642212154 |
| Record control number |
(DLC) 2011932434 |
| -- |
(OCoLC)747814304 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
2026. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-642-21216-1">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-642-21216-1</a> |
| 938 ## - |
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ebrary |
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EBRY |
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ebr10483931 |
| 938 ## - |
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YBP Library Services |
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YANK |
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6959197 |
| 936 ## - OCLC/CONSER MISCELLANEOUS DATA (OCLC); PIECE USED FOR CATALOGING (pre-AACR2) (RLIN) |
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| OCLC control number(s) of parallel record(s) (OCLC); Piece used for cataloging, PUC (RLIN) |
BATCHLOAD |
| 994 ## - |
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92 |
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ATIST |