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Author ID: wilkinson.amie Recent zbMATH articles by "Wilkinson, Amie"
Published as: Wilkinson, Amie; Wilkinson, A.; Wilkinson, Anne Marie
Homepage: http://math.uchicago.edu/~wilkinso/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 52 Publications since 1990, including 1 Book and 4 Additional arXiv Preprints
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 28 Co-Authors with 46 Joint Publications
821 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 843 times in 484 Documents Cited by Year
On the ergodicity of partially hyperbolic systems. Zbl 1196.37057
Burns, Keith; Wilkinson, Amie
100
2010
Hölder foliations. Zbl 0877.58045
Pugh, Charles; Shub, Michael; Wilkinson, Amie
73
1997
Pathological foliations and removable zero exponents. Zbl 0976.37013
Shub, Michael; Wilkinson, Amie
64
2000
Transitive partially hyperbolic diffeomorphisms on 3-manifolds. Zbl 1074.57015
Bonatti, Christian; Wilkinson, Amie
44
2005
Absolutely singular dynamical foliations. Zbl 1031.37029
Ruelle, David; Wilkinson, Amie
34
2001
Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084
Avila, Artur; Viana, Marcelo; Wilkinson, Amie
33
2015
The cohomological equation for partially hyperbolic diffeomorphisms. Zbl 1348.37054
Wilkinson, Amie
30
2013
Stable accessibility is \(C^1\) dense. Zbl 1213.37053
Dolgopyat, Dmitry; Wilkinson, Amie
28
2003
Hölder foliations, revisited. Zbl 1259.37024
Pugh, Charles; Shub, Michael; Wilkinson, Amie
27
2012
Diffeomorphisms with positive metric entropy. Zbl 1362.37017
Avila, A.; Crovisier, S.; Wilkinson, A.
27
2016
Dynamical coherence and center bunching. Zbl 1154.37332
Burns, Keith; Wilkinson, Amie
26
2008
The \(C^1\) generic diffeomorphism has trivial centralizer. Zbl 1177.37025
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
25
2009
Stable ergodicity of skew products. Zbl 0942.37015
Burns, Keith; Wilkinson, Amie
23
1999
Prevalence of non-Lipschitz Anosov foliations. Zbl 1069.37031
Hasselblatt, Boris; Wilkinson, Amie
23
1999
\(C^1\) density of stable ergodicity. Zbl 1458.37048
Avila, A.; Crovisier, S.; Wilkinson, A.
23
2021
Stable ergodicity of the time-one map of a geodesic flow. Zbl 0915.58079
Wilkinson, Amie
21
1998
The Weil-Petersson geodesic flow is ergodic. Zbl 1254.37005
Burns, Keith; Masur, Howard; Wilkinson, Amie
18
2012
Global rigidity of solvable group actions on \(S^1\). Zbl 1079.57016
Burslem, Lizzie; Wilkinson, Amie
18
2004
Rates of mixing for the Weil-Petersson geodesic flow: exponential mixing in exceptional moduli spaces. Zbl 1375.53104
Burns, Keith; Masur, Howard; Matheus, Carlos; Wilkinson, Amie
14
2017
What is \(\ldots a\) blender? Zbl 1352.37075
Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wilkinson, A.
14
2016
What are Lyapunov exponents, and why are they interesting? Zbl 1390.37041
Wilkinson, Amie
14
2017
Conservative partially hyperbolic dynamics. Zbl 1246.37054
Wilkinson, Amie
13
2011
Local density of diffeomorphisms with large centralizers. Zbl 1163.58003
Bonatti, Christian; Crovisier, Sylvain; Vago, Gioia M.; Wilkinson, Amie
13
2008
Recent results about stable ergodicity. Zbl 1012.37019
Burns, Keith; Pugh, Charles; Shub, Michael; Wilkinson, Amie
13
2001
Stable ergodicity and Anosov flows. Zbl 0930.37008
Burns, Keith; Pugh, Charles; Wilkinson, Amie
11
2000
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
10
2003
Nonuniform center bunching and the genericity of ergodicity among \(C^1\) partially hyperbolic symplectomorphisms. Zbl 1191.37017
Avila, Artur; Bochi, Jairo; Wilkinson, Amie
10
2009
Cocycles over partially hyperbolic maps. Zbl 1350.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
8
2013
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
8
2004
Stably ergodic approximation: Two examples. Zbl 0970.37022
Shub, Michael; Wilkinson, Amie
8
2000
\(C^1\)-generic conservative diffeomorphisms have trivial centralizer. Zbl 1149.37017
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
8
2008
Lectures on marked length spectrum rigidity. Zbl 1440.53046
Wilkinson, Amie
8
2014
Rigidity of some abelian-by-cyclic solvable group actions on \({\mathbb{T}}^N\). Zbl 1448.37037
Wilkinson, Amie; Xue, Jinxin
7
2020
Hölder regularity of horocycle foliations. Zbl 1144.37309
Gerber, Marlies; Wilkinson, Amie
7
1999
Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms. Zbl 1497.37036
Damjanović, Danijela; Wilkinson, Amie; Xu, Disheng
7
2021
Projective cocycles over \(\operatorname{SL}(2,\mathbb{R})\) actions: measures invariant under the upper triangular group. Zbl 1470.37042
Bonatti, Christian; Eskin, Alex; Wilkinson, Amie
6
2020
Absolute continuity, Lyapunov exponents, and rigidity. II: Systems with compact center leaves. Zbl 1493.37022
Avila, A.; Viana, Marcelo; Wilkinson, A.
6
2022
Rates of mixing for the Weil-Petersson geodesic flow. I: No rapid mixing in non-exceptional moduli spaces. Zbl 1358.30018
Burns, Keith; Masur, Howard; Matheus, Carlos; Wilkinson, Amie
6
2017
Partial differentiability of invariant splittings. Zbl 1061.37021
Pugh, Charles; Shub, Michael; Wilkinson, Amie
5
2004
The centralizer of a \(C^1\)-generic diffeomorphism is trivial. Zbl 1149.37012
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
3
2008
Circuits in Cayley digraphs of finite abelian groups. Zbl 0695.05024
Wilkinson, Anne Marie
3
1990
Cocycles over partially hyperbolic maps. Zbl 1417.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
2
2013
Prevalence of non-Lipschitz Anosov foliations. Zbl 0887.58043
Hasselblatt, Boris; Wilkinson, Amie
2
1997
Absolute continuity, Lyapunov exponents, and rigidity. II: Systems with compact center leaves. Zbl 1493.37022
Avila, A.; Viana, Marcelo; Wilkinson, A.
6
2022
\(C^1\) density of stable ergodicity. Zbl 1458.37048
Avila, A.; Crovisier, S.; Wilkinson, A.
23
2021
Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms. Zbl 1497.37036
Damjanović, Danijela; Wilkinson, Amie; Xu, Disheng
7
2021
Rigidity of some abelian-by-cyclic solvable group actions on \({\mathbb{T}}^N\). Zbl 1448.37037
Wilkinson, Amie; Xue, Jinxin
7
2020
Projective cocycles over \(\operatorname{SL}(2,\mathbb{R})\) actions: measures invariant under the upper triangular group. Zbl 1470.37042
Bonatti, Christian; Eskin, Alex; Wilkinson, Amie
6
2020
Rates of mixing for the Weil-Petersson geodesic flow: exponential mixing in exceptional moduli spaces. Zbl 1375.53104
Burns, Keith; Masur, Howard; Matheus, Carlos; Wilkinson, Amie
14
2017
What are Lyapunov exponents, and why are they interesting? Zbl 1390.37041
Wilkinson, Amie
14
2017
Rates of mixing for the Weil-Petersson geodesic flow. I: No rapid mixing in non-exceptional moduli spaces. Zbl 1358.30018
Burns, Keith; Masur, Howard; Matheus, Carlos; Wilkinson, Amie
6
2017
Diffeomorphisms with positive metric entropy. Zbl 1362.37017
Avila, A.; Crovisier, S.; Wilkinson, A.
27
2016
What is \(\ldots a\) blender? Zbl 1352.37075
Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wilkinson, A.
14
2016
Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084
Avila, Artur; Viana, Marcelo; Wilkinson, Amie
33
2015
Lectures on marked length spectrum rigidity. Zbl 1440.53046
Wilkinson, Amie
8
2014
The cohomological equation for partially hyperbolic diffeomorphisms. Zbl 1348.37054
Wilkinson, Amie
30
2013
Cocycles over partially hyperbolic maps. Zbl 1350.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
8
2013
Cocycles over partially hyperbolic maps. Zbl 1417.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
2
2013
Hölder foliations, revisited. Zbl 1259.37024
Pugh, Charles; Shub, Michael; Wilkinson, Amie
27
2012
The Weil-Petersson geodesic flow is ergodic. Zbl 1254.37005
Burns, Keith; Masur, Howard; Wilkinson, Amie
18
2012
Conservative partially hyperbolic dynamics. Zbl 1246.37054
Wilkinson, Amie
13
2011
On the ergodicity of partially hyperbolic systems. Zbl 1196.37057
Burns, Keith; Wilkinson, Amie
100
2010
The \(C^1\) generic diffeomorphism has trivial centralizer. Zbl 1177.37025
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
25
2009
Nonuniform center bunching and the genericity of ergodicity among \(C^1\) partially hyperbolic symplectomorphisms. Zbl 1191.37017
Avila, Artur; Bochi, Jairo; Wilkinson, Amie
10
2009
Dynamical coherence and center bunching. Zbl 1154.37332
Burns, Keith; Wilkinson, Amie
26
2008
Local density of diffeomorphisms with large centralizers. Zbl 1163.58003
Bonatti, Christian; Crovisier, Sylvain; Vago, Gioia M.; Wilkinson, Amie
13
2008
\(C^1\)-generic conservative diffeomorphisms have trivial centralizer. Zbl 1149.37017
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
8
2008
The centralizer of a \(C^1\)-generic diffeomorphism is trivial. Zbl 1149.37012
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
3
2008
Transitive partially hyperbolic diffeomorphisms on 3-manifolds. Zbl 1074.57015
Bonatti, Christian; Wilkinson, Amie
44
2005
Global rigidity of solvable group actions on \(S^1\). Zbl 1079.57016
Burslem, Lizzie; Wilkinson, Amie
18
2004
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
8
2004
Partial differentiability of invariant splittings. Zbl 1061.37021
Pugh, Charles; Shub, Michael; Wilkinson, Amie
5
2004
Stable accessibility is \(C^1\) dense. Zbl 1213.37053
Dolgopyat, Dmitry; Wilkinson, Amie
28
2003
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
10
2003
Absolutely singular dynamical foliations. Zbl 1031.37029
Ruelle, David; Wilkinson, Amie
34
2001
Recent results about stable ergodicity. Zbl 1012.37019
Burns, Keith; Pugh, Charles; Shub, Michael; Wilkinson, Amie
13
2001
Pathological foliations and removable zero exponents. Zbl 0976.37013
Shub, Michael; Wilkinson, Amie
64
2000
Stable ergodicity and Anosov flows. Zbl 0930.37008
Burns, Keith; Pugh, Charles; Wilkinson, Amie
11
2000
Stably ergodic approximation: Two examples. Zbl 0970.37022
Shub, Michael; Wilkinson, Amie
8
2000
Stable ergodicity of skew products. Zbl 0942.37015
Burns, Keith; Wilkinson, Amie
23
1999
Prevalence of non-Lipschitz Anosov foliations. Zbl 1069.37031
Hasselblatt, Boris; Wilkinson, Amie
23
1999
Hölder regularity of horocycle foliations. Zbl 1144.37309
Gerber, Marlies; Wilkinson, Amie
7
1999
Stable ergodicity of the time-one map of a geodesic flow. Zbl 0915.58079
Wilkinson, Amie
21
1998
Hölder foliations. Zbl 0877.58045
Pugh, Charles; Shub, Michael; Wilkinson, Amie
73
1997
Prevalence of non-Lipschitz Anosov foliations. Zbl 0887.58043
Hasselblatt, Boris; Wilkinson, Amie
2
1997
Circuits in Cayley digraphs of finite abelian groups. Zbl 0695.05024
Wilkinson, Anne Marie
3
1990
all top 5

Cited by 439 Authors

18 Hammerlindl, Andy
16 Potrie, Rafael
16 Yang, Jiagang
14 Wilkinson, Amie
12 Bonatti, Christian
12 Tahzibi, Ali
12 Varandas, Paulo
11 Cao, Yongluo
11 Rodriguez-Hertz, Federico
10 Avila, Artur
10 Carrasco, Pablo D.
10 Crovisier, Sylvain
10 Díaz, Lorenzo Justiniano
10 Gogolev, Andrey
10 Pesin, Yakov Borisovich
10 Rodriguez Hertz, Jana
10 Ures, Raúl
9 Shi, Yi
9 Viana, Marcelo
8 Gelfert, Katrin Grit
8 Matheus, Carlos
8 Obata, Davi
8 Varão, Régis
7 Bochi, Jairo
7 Fenley, Sérgio R.
7 Gan, Shaobo
7 Gorodetskii, Anton Semenovich
7 Hasselblatt, Boris
7 Melbourne, Ian
7 Sadovskaya, Victoria
6 Araújo, Vítor
6 Barthelmé, Thomas
6 Blumenthal, Alex
6 Burns, Keith
6 Fisher, Todd L.
6 Forni, Giovanni
6 Kalinin, Boris
6 Rocha, Jorge
6 Saghin, Radu
5 Bessa, Mário
5 Bonomo, Wescley
5 Butterley, Oliver
5 Damjanović, Danijela
5 Dolgopyat, Dmitry
5 Hu, Huyi
5 Kleptsyn, Victor A.
5 Liverani, Carlangelo
5 Poletti, Mauricio
5 Wang, Juan
5 Xu, Disheng
5 Yang, Yun
5 Zhang, Jinhua
4 Asaoka, Masayuki
4 Barrientos, Pablo G.
4 Chen, Jianyu
4 Climenhaga, Vaughn
4 Frankel, Steven H.
4 Guelman, Nancy
4 Krauskopf, Bernd
4 Lefeuvre, Thibault
4 Liang, Chao
4 Luzzatto, Stefano
4 Mbacke War, Khadim
4 Osinga, Hinke Maria
4 Pacífico, Maria José
4 Ponce, Gabriel
4 Pujals, Enrique Ramiro
4 Punshon-Smith, Sam
4 Simó, Carles
4 Spatzier, Ralf J.
4 Stoyanov, Luchezar N.
4 Thompson, Daniel J.
4 Türeli, Sina
4 Vinhage, Kurt
4 Xue, Jinxin
4 Yang, Fan
4 Zhang, Zhiyuan
4 Zhao, Yun
4 Zhou, Yunhua
4 Zou, Rui
3 Bedrossian, Jacob
3 Buzzi, Jérôme
3 Galatolo, Stefano
3 Hall, Layne
3 Hirayama, Michihiro
3 Il’yashenko, Yuliĭ Sergeevich
3 Lima, Yuri
3 Marin, Karina
3 Martinchich, Santiago
3 Masur, Howard A.
3 Niţică, Viorel
3 Núñez, Gabriel
3 Pérez, Sebastian A.
3 Raibekas, Artem
3 Rams, Michał
3 Sambarino, Martín
3 Shinohara, Katsutoshi
3 Tanzi, Matteo
3 Trifonov, Konstantin N.
3 Turaev, Dmitry V.
...and 339 more Authors
all top 5

Cited in 117 Serials

61 Ergodic Theory and Dynamical Systems
26 Communications in Mathematical Physics
25 Discrete and Continuous Dynamical Systems
20 Journal of Modern Dynamics
19 Nonlinearity
18 Proceedings of the American Mathematical Society
14 Transactions of the American Mathematical Society
13 Israel Journal of Mathematics
13 Advances in Mathematics
12 Inventiones Mathematicae
12 Mathematische Zeitschrift
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Dynamical Systems
9 Journal of Dynamics and Differential Equations
9 Journal of the European Mathematical Society (JEMS)
8 Geometric and Functional Analysis. GAFA
7 Geometry & Topology
6 Commentarii Mathematici Helvetici
6 Geometriae Dedicata
5 Journal of Statistical Physics
5 Journal of Differential Equations
5 Annals of Mathematics. Second Series
5 Annales Henri Poincaré
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Duke Mathematical Journal
4 Publications Mathématiques
4 Regular and Chaotic Dynamics
4 Mathematics Research Reports
3 Journal of Mathematical Analysis and Applications
3 Bulletin de la Société Mathématique de France
3 Functional Analysis and its Applications
3 Journal of Differential Geometry
3 Journal of Functional Analysis
3 Journal of the London Mathematical Society. Second Series
3 Proceedings of the London Mathematical Society. Third Series
3 Journal of Dynamical and Control Systems
3 Stochastics and Dynamics
3 Bulletin of the Brazilian Mathematical Society. New Series
3 SIAM Journal on Applied Dynamical Systems
3 Journal of the Institute of Mathematics of Jussieu
3 Science China. Mathematics
3 Journal de l’École Polytechnique – Mathématiques
2 Journal of Geometry and Physics
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Bulletin of the London Mathematical Society
2 Fundamenta Mathematicae
2 Mathematische Annalen
2 Transactions of the Moscow Mathematical Society
2 Sugaku Expositions
2 Bulletin of the American Mathematical Society. New Series
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Electronic Research Announcements of the American Mathematical Society
2 Acta Mathematica Sinica. English Series
2 Algebraic & Geometric Topology
2 Foundations of Computational Mathematics
2 Portugaliae Mathematica. Nova Série
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of the Steklov Institute of Mathematics
2 Groups, Geometry, and Dynamics
1 Archive for Rational Mechanics and Analysis
1 Discrete Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 Compositio Mathematica
1 Dissertationes Mathematicae
1 Indiana University Mathematics Journal
1 Journal of Algebra
1 Journal of Graph Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Theoretical Computer Science
1 Topology and its Applications
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Numerical Algorithms
1 Aequationes Mathematicae
1 Experimental Mathematics
1 Georgian Mathematical Journal
1 Selecta Mathematica. New Series
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Nonlinear Dynamics
1 Journal of Group Theory
1 Chaos
1 Communications in Contemporary Mathematics
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
...and 17 more Serials
all top 5

Cited in 43 Fields

447 Dynamical systems and ergodic theory (37-XX)
53 Manifolds and cell complexes (57-XX)
43 Differential geometry (53-XX)
23 Measure and integration (28-XX)
20 Several complex variables and analytic spaces (32-XX)
18 Topological groups, Lie groups (22-XX)
16 Probability theory and stochastic processes (60-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Ordinary differential equations (34-XX)
13 Functions of a complex variable (30-XX)
11 Mechanics of particles and systems (70-XX)
9 Operator theory (47-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Partial differential equations (35-XX)
6 Group theory and generalizations (20-XX)
5 General topology (54-XX)
5 Quantum theory (81-XX)
4 Combinatorics (05-XX)
4 Algebraic geometry (14-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 History and biography (01-XX)
3 \(K\)-theory (19-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
2 Real functions (26-XX)
2 Algebraic topology (55-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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