MARC details
| 000 -LEADER |
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| fixed length control field |
06182cam a2201069 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn162121407 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250703131440.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
070802s1999 gw a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
BUF |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
BUF |
| Modifying agency |
SPLNM |
| -- |
GW5XE |
| -- |
OCLCQ |
| -- |
YNG |
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CSU |
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DKDLA |
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OCLCO |
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OCLCQ |
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OCLCO |
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OCLCQ |
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GW5XE |
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OCLCE |
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OCLCF |
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OCLCQ |
| -- |
NUI |
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OCLCQ |
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UAB |
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ESU |
| -- |
OCLCQ |
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U3W |
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AU@ |
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CANPU |
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OCLCQ |
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LEAUB |
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OL$ |
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AUD |
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OCLCQ |
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UKBTH |
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YDX |
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OCLCQ |
| -- |
OCLCO |
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EBLCP |
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OCLCQ |
| -- |
OCLCO |
| -- |
OCLCL |
| 019 ## - |
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| -- |
625954371 |
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681505416 |
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686069985 |
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771200149 |
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851814147 |
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1001496692 |
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1038447457 |
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1039397734 |
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1058125841 |
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1078830341 |
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1105604588 |
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1113114575 |
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1113335114 |
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1132301331 |
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1159654540 |
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1204455059 |
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1287131741 |
| -- |
1408982081 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540470229 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3540470220 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
3540667083 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9783540667087 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/BFb0103064 |
| Source of number or code |
doi |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000051698380 |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000057633577 |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000058347577 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000060362395 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
14995405 |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
NZ1 |
| System control number |
15297047 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)162121407 |
| Canceled/invalid control number |
(OCoLC)625954371 |
| -- |
(OCoLC)681505416 |
| -- |
(OCoLC)686069985 |
| -- |
(OCoLC)771200149 |
| -- |
(OCoLC)851814147 |
| -- |
(OCoLC)1001496692 |
| -- |
(OCoLC)1038447457 |
| -- |
(OCoLC)1039397734 |
| -- |
(OCoLC)1058125841 |
| -- |
(OCoLC)1078830341 |
| -- |
(OCoLC)1086550688 |
| -- |
(OCoLC)1105604588 |
| -- |
(OCoLC)1113114575 |
| -- |
(OCoLC)1113335114 |
| -- |
(OCoLC)1132301331 |
| -- |
(OCoLC)1159654540 |
| -- |
(OCoLC)1204455059 |
| -- |
(OCoLC)1287131741 |
| -- |
(OCoLC)1408982081 |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
dlr |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA3.L28 no. 1720 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
QA |
| Source |
lcco |
| 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 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBT |
| Source |
thema |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBWL |
| Source |
thema |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER |
|---|
| Universal Decimal Classification number |
519.217.4 |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER |
|---|
| Universal Decimal Classification number |
517.983.2 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
510 s |
| -- |
519.2/33 |
| Edition number |
21 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
31.51 |
| Number source |
bcl |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
53B05 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
58 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
58G32 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
58J65 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
60.75 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
60.02 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
60H |
| Number source |
msc |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Elworthy, K. D. |
| 9 (RLIN) |
70456 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
On the geometry of diffusion operators and stochastic flows / |
| Statement of responsibility, etc. |
K.D. Elworthy, Y. Le Jan, Xue-Mei Li. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Berlin ; |
| -- |
New York : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
©1999. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (118 pages) |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| Encoding format |
PDF |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Lecture notes in mathematics, |
| International Standard Serial Number |
0075-8434 ; |
| Volume/sequential designation |
1720 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 111-116) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Construction of connections -- The infinitesimal generators and associated operators -- Decomposition of noise and Itering -- Application: Analysis on spaces of paths -- Stability of stochastic dynamical systems -- Appendices. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure. This is systematically described, together with its invariants, and then exploited to discuss qualitative properties of stochastic flows, and analysis on path spaces of compact manifolds with diffusion measures. This should be useful to stochastic analysts, especially those with interests in stochastic flows, infinite dimensional analysis, or geometric analysis, and also to researchers in sub-Riemannian geometry. A basic background in differential geometry is assumed, but the construction of the connections is very direct and itself gives an intuitive and concrete introduction. Knowledge of stochastic analysis is also assumed for later chapters. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Materials specified |
Use copy |
| Standardized terminology for access restriction |
Restrictions unspecified |
| Source of term |
star |
| Institution to which field applies |
MiAaHDL |
| 533 ## - REPRODUCTION NOTE |
|---|
| Type of reproduction |
Electronic reproduction. |
| Place of reproduction |
[Place of publication not identified] : |
| Agency responsible for reproduction |
HathiTrust Digital Library, |
| Date of reproduction |
2010. |
| Institution to which field applies |
MiAaHDL |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Uniform Resource Identifier |
<a href="http://purl.oclc.org/DLF/benchrepro0212">http://purl.oclc.org/DLF/benchrepro0212</a> |
| Institution to which field applies |
MiAaHDL |
| 583 1# - ACTION NOTE |
|---|
| Action |
digitized |
| Time/date of action |
2010 |
| Jurisdiction |
HathiTrust Digital Library |
| Status |
committed to preserve |
| Source of term |
pda |
| Institution to which field applies |
MiAaHDL |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Print version record. |
| 546 ## - LANGUAGE NOTE |
|---|
| Language note |
English. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Diffusion processes. |
| 9 (RLIN) |
70248 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Linear operators. |
| 9 (RLIN) |
69497 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Flows (Differentiable dynamical systems) |
| 9 (RLIN) |
69982 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Processus de diffusion. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Opérateurs linéaires. |
| 9 (RLIN) |
12071 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Flots (Dynamique différentiable) |
| 9 (RLIN) |
69983 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Diffusion processes |
| Source of heading or term |
fast |
| 9 (RLIN) |
70248 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Flows (Differentiable dynamical systems) |
| Source of heading or term |
fast |
| 9 (RLIN) |
69982 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Linear operators |
| Source of heading or term |
fast |
| 9 (RLIN) |
69497 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Operatoren. |
| Source of heading or term |
gtt |
| 9 (RLIN) |
12087 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Stochastische systemen. |
| Source of heading or term |
gtt |
| 9 (RLIN) |
20848 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebraïsche meetkunde. |
| Source of heading or term |
gtt |
| 9 (RLIN) |
70293 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Equacoes diferenciais parciais. |
| Source of heading or term |
larpcal |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Diffusion processes. |
| Source of heading or term |
nli |
| 9 (RLIN) |
70248 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Linear operators. |
| Source of heading or term |
nli |
| 9 (RLIN) |
69497 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Flows (Differentiable dynamical systems) |
| Source of heading or term |
nli |
| 9 (RLIN) |
69982 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Diffusjonsprosesser. |
| Source of heading or term |
tekord |
| 9 (RLIN) |
973579 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Lineære operatorer. |
| Source of heading or term |
tekord |
| 9 (RLIN) |
973580 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| 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 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Li, X-M. |
| Fuller form of name |
(Xue-Mei), |
| Dates associated with a name |
1964- |
| -- |
https://id.oclc.org/worldcat/entity/E39PCjJyYVvPHFm6qJCx8FQFyq |
| 9 (RLIN) |
70460 |
| 758 ## - |
|---|
| -- |
has work: |
| -- |
On the geometry of diffusion operators and stochastic flows (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCFMCKG9TDdVh6KkghDp3wC |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| Main entry heading |
Elworthy, K.D. |
| Title |
On the geometry of diffusion operators and stochastic flows. |
| Place, publisher, and date of publication |
Berlin ; New York : Springer, ©1999 |
| International Standard Book Number |
3540667083 |
| Record control number |
(DLC) 99056079 |
| -- |
(OCoLC)42753490 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
1720. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0103064">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0103064</a> |
| 938 ## - |
|---|
| -- |
ProQuest Ebook Central |
| -- |
EBLB |
| -- |
EBL6812146 |
| 938 ## - |
|---|
| -- |
YBP Library Services |
| -- |
YANK |
| -- |
301971539 |
| 994 ## - |
|---|
| -- |
92 |
| -- |
ATIST |