Amie Wilkinson

Q: What Schools Are Affiliated With Amie Wilkinson

Amie Wilkinson is affiliated with the following schools: University of California, Berkeley, Northwestern University , Northwestern University, University of Chicago, Harvard University

Amie Wilkinson's AcademicInfluence.com Rankings

Amie Wilkinson

Mathematics

#1209

World Rank

#2022

Historical Rank

#509

USA Rank

Measure Theory

#4642

World Rank

#5437

Historical Rank

#1291

USA Rank

mathematics Degrees

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Mathematics

Amie Wilkinson's Degrees

PhD Mathematics University of California, Berkeley

Why Is Amie Wilkinson Influential?

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According to Wikipedia, Amie Wilkinson is an American mathematician and Professor of Mathematics at the University of Chicago. Her research topics include smooth dynamical systems, ergodic theory, chaos theory, and semisimple Lie groups. Wilkinson, in collaboration with Christian Bonatti and Sylvain Crovisier, partially resolved the twelfth problem on Stephen Smale's list of mathematical problems for the 21st Century.

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Amie Wilkinson's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On the ergodicity of partially hyperbolic systems (2005) (200)
Pathological foliations and removable zero exponents (2000) (172)
Absolutely Singular Dynamical Foliations (2000) (88)
Transitive partially hyperbolic diffeomorphisms on 3-manifolds (2005) (85)
Stable ergodicity of the time-one map of a geodesic flow (1998) (75)
Stable ergodicity of skew products (1999) (69)
Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows (2011) (64)
Recent Results About Stable Ergodicity (2000) (63)
The cohomological equation for partially hyperbolic diffeomorphisms (2008) (60)
Stable accessibility is C 1 dense (60)
Prevalence of non-Lipschitz Anosov foliations (1997) (60)
Dynamical coherence and center bunching (2008) (53)
Diffeomorphisms with positive metric entropy (2014) (45)
Stable accessibility is C1 dense (2001) (44)
The C1 generic diffeomorphism has trivial centralizer (2008) (42)
C1 density of stable ergodicity (2017) (36)
Stable ergodicity and Anosov flows (2000) (35)
The Weil-Petersson geodesic flow is ergodic (2010) (33)
Conservative partially hyperbolic dynamics (2010) (31)
Abundance of stable ergodicity (2004) (30)
Global rigidity of solvable group actions on S^1 (2003) (30)
What are Lyapunov exponents, and why are they interesting? (2016) (30)
LOCAL DENSITY OF DIFFEOMORPHISMS WITH LARGE CENTRALIZERS (2007) (26)
H\"older foliations, revisited (2011) (25)
Stably ergodic approximation: two examples (2000) (25)
Random Versus Deterministic Exponents in a Rich Family of Diffeomorphisms (2002) (23)
Nonuniform center bunching and the genericity of ergodicity among $C^1$ partially hyperbolic symplectomorphisms (2008) (23)
Cocycles over Partially Hyperbolic Maps (2013) (23)
Smooth Ergodic Theory (2008) (18)
ABSOLUTE CONTINUITY OF FOLIATIONS (2007) (15)
WHAT IS ... A Blender (2016) (15)
Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces (2016) (14)
Hölder regularity of horocycle foliations (1999) (14)
Pathology and asymmetry: Centralizer rigidity for partially hyperbolic diffeomorphisms (2019) (14)
Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves (2021) (13)
C1-generic conservative diffeomorphisms have trivial centralizer (2007) (13)
Partial Differentiability of Invariant Splittings (2002) (12)
Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group (2017) (9)
Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces (2013) (9)
Rigidity of Some Abelian-by-Cyclic Solvable Group Actions on $${\mathbb {T}}^N$$TN (2019) (9)
A note on stable holonomy between centers (2005) (9)
Lectures on marked length spectrum rigidity (2014) (7)
Rigidity of Some Abelian-by-Cyclic Solvable Group Actions on TN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathb (2020) (6)
The centralizer of a C1 generic diffeomorphism is trivial (2007) (6)
Centralizers of C 1 -generic diffeomorphisms (2006) (4)
Symplectomorphisms with positive metric entropy (2019) (3)
A stably Bernoullian diffeomorphism that is not Anosov (1998) (2)
Local density of diffeomorphisms with large centralizers Densite locale des diffeomorphismes ayant un gros centralisateur (2008) (2)
MECHANISMS FOR CHAOS (2019) (1)
On the ergodicity of partially hyperbolic systems Keith Burns and Amie Wilkinson February 2 , 2008 (1)
Rates of mixing of Weil-Pertesson geodesic flows (2013) (1)
Ergodicity of geodesic flows on incomplete negatively curved manifolds (2017) (1)
Dynamics done with your bare hands: Lecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa (2016) (0)
Transitive centralizers and fibered partially hyperbolic systems (2023) (0)
WHEN AN INFINITELY-RENORMALIZABLE ENDOMORPHISM OF THE INTERVAL CAN BE SMOOTHED (1995) (0)
In Memory of Marina Ratner 1938–2017 (2019) (0)
O ct 2 00 7 C 1-generic conservative diffeomorphisms have trivial centralizer (2021) (0)
Ergodicity of the Weil–Petersson Geodesic Flow (2017) (0)
Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces (2017) (0)
NOTES ON ERGODICITY OF PARTIALLY HYPERBOLIC SYSTEMS (2008) (0)
On the ergodicity of partially hyperbolic systems Keith Burns and Amie Wilkinson April 26 , 2006 (2006) (0)
Ratner's Work on Unipotent Flows and Impact (2019) (0)
Schedule of talks (2016) (0)
Women's History Month (2013) (0)
LECTURES ON MARKED LENGTH SPECTRUM RIGIDITY (PRELIMINARY VERSION) (2012) (0)
Diffeomorphisms with positive metric entropy (2016) (0)
Workshop : Flat Surfaces and Dynamics on Moduli Space Table of Contents (2015) (0)
Stable accessibility is C 1 dense Dmitry Dolgopyat and (0)
Finding stability domains and escape rates in kicked Hamiltonians (2016) (0)
COCYCLES OVER PARTIALLY HYPERBOLIC MAPS par (2012) (0)

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What Schools Are Affiliated With Amie Wilkinson?

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Amie Wilkinson's Academic­Influence.com Rankings