Equilibrium states in negative curvature:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Paris
Société Mathématique de France
2015
|
| Schriftenreihe: | Astérisque
373 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Bibliography p. 271-281 |
| Beschreibung: | VIII, 281 Seiten |
| ISBN: | 9782856298183 |
Internformat
MARC
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| 245 | 1 | 0 | |a Equilibrium states in negative curvature |c Frédéric Paulin, Mark Pollicott, Barbara Schapira |
| 264 | 1 | |a Paris |b Société Mathématique de France |c 2015 | |
| 300 | |a VIII, 281 Seiten | ||
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| 500 | |a Bibliography p. 271-281 | ||
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Datensatz im Suchindex
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| adam_text | Titel: Equilibrium states in negative curvature
Autor: Paulin, Frédéric
Jahr: 2015
CONTENTS 1. Introduction 1 2. Background on negatively curved manifolds ...................... 13 2.1. Uniform local Holder-continuity ..................................... 11 2.2. Boundary at infinity, isometries and the Busemann eocycle ......... 15 2.3. The geometry of ! lie unit tangent bundle ........................... IS 2.4. Geodesic (low. (unlstable foliations and the llamonstiidt distances .. 21 2.5. Some exercises in hyperbolic geometry .............................. 25 2.(i. Pushing measures by branched covers ............................... 28 3. A Patterson-Sullivan theory for Gibbs states ................. 3.1. Potential functions and their periods ............................ 3.2. The Poincare series and (he critical exponent of (P. /•’) .......... 3.3. The Gibbs cocyele of (P. F) ..................................... 3.4. Tin potential gap of (P. F) ..................................... 3.5. The erossratio of (P. F) ......................................... 34). The Patterson densities of (P. F) ................................ 3.7. The Gibbs states of (P. ƒ•’) ...................................... 3.8. The Gibbs property of Gibbs states ............................. 34). Conditional measures of Gibbs states on strong (unlstable leaves 31 31 3 1 39 11 18 59 ( 1(1 4. Critical exponent and Gurevich pressure .......................... 75 1.1. Counting orbil points and periodic geodesics ........................ 75 1.2. I.ogaril hmie growt h of I he orbit al count ing limet ions ............... 77 1.3. Kquality lu tween critical exponent and Gurevich pressure .......... 85 1.1. Critical exponent of Seliol I ky semigroups ........................... 87 5. A Hopf-Tsuji-Sullivan-Roblin theorem for Gibbs states ......... 1115 5.1. Some geometric notation ............................................ 105 5.2. I he I lopi-I suji-Sulli van-li oblin theorem for Gibbs st at es ........... 108 5.3. I
niqueness ol Put terson densil ies and ol Gibbs st ales ............... ]|8 6. Thermodynamic, formalism and equilibrium states ............... 123 0.1. Measurable partitions and entropy .................................. 125 (i.2. Prool of I he variai ional principle .................................... 127
( ’( l.VI KNTS viii 7. The Liouville measure as a Gibbs measure ........................ 1 12 7.1. The I I( )l(l(T-( o]il imiily of ! lie (un)st ahle Jacohian ................... 110 7.7. Absolut e eont imiily of t lie si rong unst ahle loliat ion ................. 150 77i. The Liouville measure as an ( (juilil riuni stati ...................... 152 7.1. The Liouville measui e salislies the Clihhs property .................. 155 7.5. Conservative Liouville measures an- Clihhs measures ................ 15!) 8. FiniteiK ss and mixing of Gibbs statos ............................. 105 s. I. bu lu Ilot s n i i x i 11 ei, cri t erion lor Gihhs stati s .......................... 105 8.2. A liniteuess erilerioii lor (lihhs s(aies ............................... 108 !). Growt.h and equidistributionof orbits and periods ............... 175 !). 1. ( onvergenee of nii asures on t lie square produet ..................... 175 0.2. ( omit i 11 p orhil points ol discret e groups ............................ 185 O..’,. Lquii 1 i s t ri luit ion and eomit ing of perioilie mbit s ol the géodésie f low I 85 t). I. The rase ol infinité Gihhs measure .................................. l!)(i 10. The ergodic theory of the strong nnstable foliation ............. 10!) 1(1.1. ()unsi-mvnrianl trausver.se tui’asuirs ............................... 100 10.2. Ouasi-invariant measures on t lie spaee ol horospheres .............. 208 10.2. ( lassilieal ion ol quasi-invariant I ransverse measures for // ...... 200 1 1. Gibbs stat?s on Galois covers ...................................... III. 1 u i pro i ng Mohseti s sliai low l?tum? ................................ 1 1.2. I lie I a t o 11 -1 i o h I i 1 1 radial rnuvergeuee t Iteoreni ..................... 11.5. ( ha i ael ers a m 1 e ri t ira I ex poni lit s .................................. 11.1. ( liaraet ers ami l’al I erse in deilsil les ................................ lia
( ’I la i a et ers a i n I l lie I lopl -Tsu ji-Sulli van-Uohlin I lieorem ............ I 1.0. (taillis revers ; 1 1 1 ( I élit irai exponeilts ............................... IL . * lassilieal ion ol ergodie l’allersnii densities on uilpotent envers .... 222 22 1 228 2 10 2 10 2 10 252 List of sy mbols ........................................................... 201 Index ...................................................................... 205 bibliographe
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| author | Paulin, Frédéric 1962- Pollicott, Mark 1959- Schapira, Barbara |
| author_GND | (DE-588)1081399775 (DE-588)1073144151 (DE-588)108086797X |
| author_facet | Paulin, Frédéric 1962- Pollicott, Mark 1959- Schapira, Barbara |
| author_role | aut aut aut |
| author_sort | Paulin, Frédéric 1962- |
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| discipline | Mathematik |
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| id | DE-604.BV043226505 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:21:01Z |
| institution | BVB |
| isbn | 9782856298183 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028649239 |
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| physical | VIII, 281 Seiten |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Société Mathématique de France |
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| series | Astérisque |
| series2 | Astérisque |
| spelling | Paulin, Frédéric 1962- Verfasser (DE-588)1081399775 aut Equilibrium states in negative curvature Frédéric Paulin, Mark Pollicott, Barbara Schapira Paris Société Mathématique de France 2015 VIII, 281 Seiten txt rdacontent n rdamedia nc rdacarrier Astérisque 373 Bibliography p. 271-281 Pollicott, Mark 1959- (DE-588)1073144151 aut Schapira, Barbara (DE-588)108086797X aut Astérisque 373 (DE-604)BV002579439 373 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028649239&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Paulin, Frédéric 1962- Pollicott, Mark 1959- Schapira, Barbara Equilibrium states in negative curvature Astérisque |
| title | Equilibrium states in negative curvature |
| title_auth | Equilibrium states in negative curvature |
| title_exact_search | Equilibrium states in negative curvature |
| title_full | Equilibrium states in negative curvature Frédéric Paulin, Mark Pollicott, Barbara Schapira |
| title_fullStr | Equilibrium states in negative curvature Frédéric Paulin, Mark Pollicott, Barbara Schapira |
| title_full_unstemmed | Equilibrium states in negative curvature Frédéric Paulin, Mark Pollicott, Barbara Schapira |
| title_short | Equilibrium states in negative curvature |
| title_sort | equilibrium states in negative curvature |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028649239&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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