Ergodic theory and dynamical systems: proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012
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|---|---|
| Format: | Conference Proceeding Book |
| Language: | English |
| Published: |
Berlin [u.a.]
De Gruyter
2014
|
| Series: | De Gruyter proceedings in mathematics
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | X, 276 S. Ill., graph. Darst. |
| ISBN: | 3110298139 9783110298130 |
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| 245 | 1 | 0 | |a Ergodic theory and dynamical systems |b proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 |c ed. by Idris Assani |
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2014 | |
| 300 | |a X, 276 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter proceedings in mathematics | |
| 500 | |a Literaturangaben | ||
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 700 | 1 | |a Assani, Idris |4 edt | |
| 710 | 2 | |a University of North Carolina at Chapel Hill |e Sonstige |0 (DE-588)11163-6 |4 oth | |
| 711 | 2 | |a Chapel Hill Ergodic Theory Workshop |d 2011-2012 |c Chapel Hill, NC |j Sonstige |0 (DE-588)1046187953 |4 oth | |
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Record in the Search Index
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| adam_text |
CONTENTS
PREFACE V
ETHAN AKIN
FURSTENBERG FRACTALS 1
1 INTRODUCTION 1
2 FURSTENBERG FRACTALS 3
3 THE FRACTAL CONSTRUCTIONS 9
4 DENSITY OF NON-RECURRENT POINTS 12
5 ISOMETRIES AND FURSTENBERG FRACTALS 14
IDRIS ASSANI AND KIMBERLY PRESSER
A SURVEY OF THE RETURN TIMES THEOREM 19
1 ORIGINS 19
1.1 AVERAGES ALONG SUBSEQUENCES 21
1.2 WEIGHTED AVERAGES 23
1.3 WIENER-WINTNER RESULTS 25
2 DEVELOPMENT 26
2.1 THE BFKO PROOF OF BOURGAIN'S RETURN TIMES THEOREM
2.2 EXTENSIONS OF THE RETURN TIMES THEOREM 29
2.3 UNIQUE ERGODICITY AND THE RETURN TIMES THEOREM 31
2.4 AJOININGS PROOF OFTHE RETURN TIMES THEOREM 33
3 THE MULTITERM RETURN TIMES THEOREM 35
3.1 DEFINITIONS 37
4 CHARACTERISTIC FACTORS 41
4.1 CHARACTERISTIC FACTORS AND THE RETURN TIMES THEOREM
5 BREAKINGTHE DUALITY 44
5.1 HILBERT TRANSFORMS 45
5.2 THE (L
1
,!
1
) CASE 48
6 OTHER NOTES ON THE RETURN TIMES THEOREM 50
6.1 THE SIGMA-FINITE CASE 50
6.2 RECENT EXTENSIONS 51
6.3 WIENER-WINTNER DYNAMICAL FUNCTIONS 52
7 CONCLUSION 54
JOSEPH AUSLANDER
CHARACTERIZATIONS OF DISTAL AND EQUICONTINUOUS EXTENSIONS 59
ZOLTAN BUCZOLICH
AVERAGES ALONG THE SQUARES ON THE TORUS 67
1 INTRODUCTION AND STATEMENT OFTHE MAIN RESULTS 67
HTTP://D-NB.INFO/1027551572
VIII
CONTENTS
2 PRELIMINARY RESULTS AND NOTATION 69
3 PROOFS OF THE MAIN RESULTS 70
NICOLAS CHEVALLIER
STEPPED HYPERPLANE AND EXTENSION OF THE THREE DISTANCE THEOREM 81
1 INTRODUCTION 81
2 KWAPISZ'S RESULT FOR TRANSLATION 82
3 CONTINUED FRACTION EXPANSIONS 84
3.1 BRUN'S ALGORITHM 84
3.2 STRONG CONVERGENCE 86
4 PROOF OF THEOREM 1.1 87
5 APPENDIX: PROOF OF THEOREM 2.4 AND STEPPED HYPERPLANE 88
JEAN-PIERRE CONZE AND JONATHAN MARCO
REMARKS ON STEP COCYCLES OVER ROTATIONS, CENTRALIZERS AND COBOUNDARIES
1 INTRODUCTION 93
2 PRELIMINARIES ON COCYCLES 94
2.1 COCYCLES AND GROUP EXTENSION OF DYNAMICAL SYSTEMS 94
2.2 ESSENTIAL VALUES, NONREGULAR COCYCLE 95
2.3 Z
2
-ACTIONS AND CENTRALIZER 97
2.4 CASE OF AN IRRATIONAL ROTATION 98
3 COBOUNDARY EQUATIONS FOR IRRATIONAL ROTATIONS 100
3.1 CLASSICAL RESULTS, EXPANSION IN BASIS
Q
N
A
101
3.2 LINEAR AND MULTIPLICATIVE EQUATIONS FOR PP AND ^
Y
101
4 APPLICATIONS 104
4.1 NON-ERGODIC COCYCLES WITH ERGODIC COMPACT QUOTIENTS 104
4.2 EXAMPLES OF NONTRIVIAL AND TRIVIAL CENTRALIZER 106
4.3 EXAMPLE OF A NONTRIVIAL CONJUGACY IN A GROUP FAMILY 108
5 APPENDIX: PROOF OF THEOREM 3.3 109
DANIJELA DAMJANOVIC
HAMILTON'S THEOREM FOR SMOOTH LIE GROUP ACTIONS 117
1 INTRODUCTION 117
2 PRELIMINARIES 118
2.1 FRECHET SPACES AND TAME OPERATORS 118
2.2 HAMILTON'S NASH-MOSER THEOREM FOR EXACT SEQUENCES 119
2.3 COHOMOLOGY 119
3 AN APPLICATION OF HAMILTON'S NASH-MOSER THEOREM FOR EXACT SEQ
TO LIE GROUP ACTIONS 120
3.1 THE SET-UP 120
3.2 TAMELY SPLIT FIRST COHOMOLOGY 121
3.3 EXISTENCE OF TAME SPLITTING FOR THE COMPLEX (LIN)
(A
H
^ 122
3.4 A PERTURBATION RESULT 125
CONTENTS
* IX
3.5 A VARIATION OF THEOREM 3.6 126
4 POSSIBLE APPLICATIONS 126
KRZYSZTOF FRQCZEK, AGATA PI^KNIEWSKA.AND DARIUSZ SKRENTY
MIXING AUTOMORPHISMS WHICH ARE MARKOV QUASI-EQUIVALENT BUT NOT WEAKLY
ISOMORPHIC 129
1 INTRODUCTION 129
2 GAUSSIAN AUTOMORPHISMS AND GAUSSIAN COCYCLES 130
3
COALESCENCE OF TWO-SIDED COCYCLE EXTENSIONS 132
4 MAIN RESULT 134
JOANNA KUTAGA-PRZYMUS
ON THE STRONG CONVOLUTION SINGULARITY PROPERTY 139
1
INTRODUCTION 139
2
DEFINITIONS 142
2.1
SPECTRAL THEORY 142
2.2
JOININGS 143
2.3
SPECIAL FLOWS 143
2.4
CONTINUED FRACTIONS 143
3
TOOLS 144
4
SMOOTH FLOWS ON SURFACES 146
5
RESULTS 147
5.1
NEW TOOLS - THE MAIN PROPOSITION
5.2
NEW TOOLS - TECHNICAL DETAILS 148
5.3
APPLICATION 180
CARLOS MATHEUS
FRACTAL GEOMETRY OF NON-UNIFORMLY HYPERBOLIC HORSESHOES 197
1 PART I - A SURVEY ON HOMOCLINIC/HETEROCLINIC BIFURCATIONS 197
1.1 TRANSVERSE HOMOCLINIC ORBITS AND SMALE'S HORSESHOES 199
1.2 HOMOCLINIC TANGENCIES AND NEWHOUSE PHENOMENA 203
1.3
HOMOCLINIC BIFURCATIONS ASSOCIATED TO THIN HORSESHOES 213
1.4
HOMOCLINIC BIFURCATIONS ASSOCIATED TO FAT HORSESHOES AND STABLE
TANGENCIES 218
1.5
HETEROCLINIC BIFURCATIONS OF SLIGHTLY FAT HORSESHOES AFTER J. PALIS AND
J.-C. YOCCOZ 220
1.6
A GLOBAL VIEW ON PALIS-YOCCOZ INDUCTION SCHEME 223
2
PART II - A RESEARCH ANNOUNCEMENT ON NON-UNIFORMLY HYPERBOLIC
HORSESHOES 232
2.1
HAUSDORFF DIMENSION OF THE STABLE SETS OF NON-UNIFORMLY HYPERBOLIC
HORSESHOES 233
2.2 FINAL COMMENTS ON FURTHER RESULTS 236
X CONTENTS
OMRI SARIG AND MARTIN SCHMOLL
ADIC FLOWS, TRANSVERSAL FLOWS, AND HOROCYCLE FLOWS 241
1 INTRODUCTION 241
2 ADIC FLOWS 243
2.1 ERGODIC PROPERTIES OF ADIC FLOWS 251
3 APPLICATION TO HOROCYCLE FLOWS 252
3.1 THE COMPACT CASE 257
KELLY B. YANCEY
UNIFORM RIGIDITY SEQUENCES FOR TOPOLOGICALLY WEAKLY MIXING
HOMEOMORPHISMS 261
1 INTRODUCTION 261
2
UNIFORM RIGIDITY SEQUENCES 263
2.1 PROOF OF THEOREM 1.2 264 |
| any_adam_object | 1 |
| author2 | Assani, Idris |
| author2_role | edt |
| author2_variant | i a ia |
| author_facet | Assani, Idris |
| building | Verbundindex |
| bvnumber | BV041777681 |
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| dewey-full | 515.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.48 |
| dewey-search | 515.48 |
| dewey-sort | 3515.48 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| spelling | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 ed. by Idris Assani Berlin [u.a.] De Gruyter 2014 X, 276 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier De Gruyter proceedings in mathematics Literaturangaben (DE-588)1071861417 Konferenzschrift gnd-content Assani, Idris edt University of North Carolina at Chapel Hill Sonstige (DE-588)11163-6 oth Chapel Hill Ergodic Theory Workshop 2011-2012 Chapel Hill, NC Sonstige (DE-588)1046187953 oth Erscheint auch als Online-Ausgabe 978-3-11-029820-8 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4173963&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027223560&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 |
| subject_GND | (DE-588)1071861417 |
| title | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 |
| title_auth | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 |
| title_exact_search | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 |
| title_full | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 ed. by Idris Assani |
| title_fullStr | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 ed. by Idris Assani |
| title_full_unstemmed | Ergodic theory and dynamical systems proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 ed. by Idris Assani |
| title_short | Ergodic theory and dynamical systems |
| title_sort | ergodic theory and dynamical systems proceedings of the ergodic theory workshops at university of north carolina at chapel hill 2011 2012 |
| title_sub | proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011 - 2012 |
| topic_facet | Konferenzschrift |
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