MARC details
| 000 -LEADER |
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| fixed length control field |
05920cam a2200841 a 4500 |
| 001 - CONTROL NUMBER |
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ocn759858108 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250703133256.0 |
| 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 cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
111107s2011 gw a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
GW5XE |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
GW5XE |
| Modifying agency |
UKMGB |
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COO |
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E7B |
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SFB |
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OCLCQ |
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DKDLA |
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OCLCQ |
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YOU |
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UX0 |
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OCLCQ |
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OCLCQ |
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OCLCQ |
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AAA |
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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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DCT |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
015965467 |
| Source |
Uk |
| 019 ## - |
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767628384 |
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771229078 |
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846870451 |
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964912689 |
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990647957 |
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1086467513 |
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1109826321 |
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1112543506 |
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1204075212 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642236501 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3642236502 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3642236499 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642236495 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9783642236495 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-642-23650-1 |
| Source of number or code |
doi |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000048720532 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000051322354 |
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AU@ |
| System control number |
000058347820 |
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AU@ |
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000060402223 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DKDLA |
| System control number |
800010-katalog:99122333040505763 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NLGGC |
| System control number |
38414697X |
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| OCLC library identifier |
NZ1 |
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14152869 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DKDLA |
| System control number |
820120-katalog:999912012805765 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)759858108 |
| Canceled/invalid control number |
(OCoLC)767628384 |
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(OCoLC)771229078 |
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(OCoLC)846870451 |
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(OCoLC)964912689 |
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(OCoLC)990647957 |
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(OCoLC)1005786674 |
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(OCoLC)1048092655 |
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(OCoLC)1050965177 |
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(OCoLC)1066660523 |
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(OCoLC)1069680143 |
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(OCoLC)1086467513 |
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(OCoLC)1109826321 |
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(OCoLC)1112543506 |
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(OCoLC)1204075212 |
| 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 |
QA614.835 |
| Item number |
.M39 2011 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBWR |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT034000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515/.39 |
| 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 |
Mayer, Volker, |
| Dates associated with a name |
1964- |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJbGXC8QyJgxMYPtXkCvpP |
| 9 (RLIN) |
78689 |
| 245 10 - TITLE STATEMENT |
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| Title |
Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry / |
| Statement of responsibility, etc. |
Volker Mayer, Bartlomiej Skorulski, Mariusz Urbanski. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Heidelberg ; |
| -- |
New York : |
| Name of publisher, distributor, etc. |
Springer-Verlag Berlin Heidelberg, |
| Date of publication, distribution, etc. |
©2011. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (x, 112 pages) : |
| Other physical details |
illustrations (some color) |
| 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 |
0075-8434 ; |
| Volume/sequential designation |
2036 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 109-110) and index. |
| 520 8# - SUMMARY, ETC. |
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| Summary, etc. |
Annotation The theory of random dynamical systems originated from stochasticdifferential equations. It is intended to provide a framework andtechniques to describe and analyze the evolution of dynamicalsystems when the input and output data are known only approximately, according to some probability distribution. The development of this field, in both the theory and applications, has gone in many directions. In this manuscript we introduce measurable expanding random dynamical systems, develop the thermodynamical formalism and establish, in particular, the exponential decay of correlations and analyticity of the expected pressure although the spectral gap property does not hold. This theory is then used to investigate fractal properties of conformal random systems. We prove a Bowens formula and develop the multifractal formalism of the Gibbs states. Depending on the behavior of the Birkhoff sums of the pressure function we arrive at a natural classification of the systems into two classes: quasi-deterministic systems, which share manyproperties of deterministic ones; and essentially random systems, which are rather generic and never bi-Lipschitz equivalent to deterministic systems. We show that in the essentially random case the Hausdorff measure vanishes, which refutes a conjecture by Bogenschutz and Ochs. Lastly, we present applications of our results to various specific conformal random systems and positively answer a question posed by Bruck and Buger concerning the Hausdorff dimension of quadratic random Julia sets. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1 Introduction -- 2 Expanding Random Maps -- 3 The RPF-theorem -- 4 Measurability, Pressure and Gibbs Condition -- 5 Fractal Structure of Conformal Expanding Random Repellers -- 6 Multifractal Analysis -- 7 Expanding in the Mean -- 8 Classical Expanding Random Systems -- 9 Real Analyticity of Pressure. |
| 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 |
Random dynamical systems. |
| 9 (RLIN) |
69582 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fractals. |
| 9 (RLIN) |
11007 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Systèmes dynamiques aléatoires. |
| 9 (RLIN) |
969805 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fractales. |
| 9 (RLIN) |
70338 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
fractals. |
| Source of heading or term |
aat |
| 9 (RLIN) |
11007 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fractales |
| Source of heading or term |
embne |
| 9 (RLIN) |
70338 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fractals |
| Source of heading or term |
fast |
| 9 (RLIN) |
11007 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Random dynamical systems |
| Source of heading or term |
fast |
| 9 (RLIN) |
69582 |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Mathematics |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Differentiable dynamical systems |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Dynamical Systems and Ergodic Theory |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Skorulski, Bartlomiej. |
| 9 (RLIN) |
78690 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Urbański, Mariusz. |
| 9 (RLIN) |
78691 |
| 758 ## - |
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| -- |
has work: |
| -- |
Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCGmcfWy39TBJFyjjk7BbQy |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Print version: |
| Main entry heading |
Mayer, Volker, 1964- |
| Title |
Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry. |
| Place, publisher, and date of publication |
Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, ©2011 |
| Record control number |
(DLC) 2011940286 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
2036. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-642-23650-1">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-642-23650-1</a> |
| 938 ## - |
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Askews and Holts Library Services |
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ASKH |
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AH26854954 |
| 938 ## - |
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ProQuest Ebook Central |
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EBLB |
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EBL3067456 |
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ebrary |
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EBRY |
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ebr10510044 |
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YBP Library Services |
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YANK |
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7227842 |
| 994 ## - |
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92 |
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ATIST |