Amie Wilkinson

1.4k total citations
37 papers, 575 citations indexed

About

Amie Wilkinson is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Amie Wilkinson has authored 37 papers receiving a total of 575 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 25 papers in Geometry and Topology and 18 papers in Statistical and Nonlinear Physics. Recurrent topics in Amie Wilkinson's work include Mathematical Dynamics and Fractals (33 papers), Quantum chaos and dynamical systems (18 papers) and Geometric and Algebraic Topology (11 papers). Amie Wilkinson is often cited by papers focused on Mathematical Dynamics and Fractals (33 papers), Quantum chaos and dynamical systems (18 papers) and Geometric and Algebraic Topology (11 papers). Amie Wilkinson collaborates with scholars based in United States, France and Canada. Amie Wilkinson's co-authors include Michael Shub, Keith Burns, Christian Bonatti, Charles Pugh, David Ruelle, Sylvain Crovisier, Boris Hasselblatt, Carlos Matheus, Artur Avila and Marcelo Viana and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Amie Wilkinson

32 papers receiving 504 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Amie Wilkinson United States	14	539	396	268	57	30	37	575
Lan Wen China	13	430 0.8×	338 0.9×	296 1.1×	37 0.6×	25 0.8×	30	459
Sylvain Crovisier France	15	505 0.9×	328 0.8×	287 1.1×	32 0.6×	29 1.0×	51	533
Huyi Hu United States	13	448 0.8×	262 0.7×	107 0.4×	42 0.7×	26 0.9×	28	464
Yongluo Cao China	11	425 0.8×	261 0.7×	105 0.4×	53 0.9×	32 1.1×	53	454
Martı́n Sambarino Uruguay	12	399 0.7×	257 0.6×	229 0.9×	122 2.1×	21 0.7×	23	470
Shaobo Gan China	11	327 0.6×	247 0.6×	204 0.8×	20 0.4×	13 0.4×	30	334
Jairo Bochi Brazil	11	359 0.7×	263 0.7×	157 0.6×	42 0.7×	58 1.9×	29	424
José F. Alves Portugal	12	614 1.1×	436 1.1×	135 0.5×	34 0.6×	54 1.8×	37	636
Paulo Varandas Brazil	10	327 0.6×	189 0.5×	103 0.4×	27 0.5×	27 0.9×	56	342
Ľubomír Snoha Slovakia	11	349 0.6×	153 0.4×	190 0.7×	28 0.5×	26 0.9×	33	374

Countries citing papers authored by Amie Wilkinson

Since Specialization

Citations

This map shows the geographic impact of Amie Wilkinson's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Amie Wilkinson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Amie Wilkinson more than expected).

Fields of papers citing papers by Amie Wilkinson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Amie Wilkinson. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Amie Wilkinson. The network helps show where Amie Wilkinson may publish in the future.

Co-authorship network of co-authors of Amie Wilkinson

This figure shows the co-authorship network connecting the top 25 collaborators of Amie Wilkinson. A scholar is included among the top collaborators of Amie Wilkinson based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Amie Wilkinson. Amie Wilkinson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Wilkinson, Amie, et al.. (2024). Transitive Centralizer and Fibered Partially Hyperbolic Systems. International Mathematics Research Notices. 2024(12). 9686–9704.

Crovisier, Sylvain, et al.. (2022). Symplectomorphisms with positive metric entropy. Proceedings of the London Mathematical Society. 124(5). 691–712.

Crovisier, Sylvain, et al.. (2021). C1 density of stable ergodicity. Advances in Mathematics. 379. 107496–107496. 18 indexed citations

Bonatti, Christian, Alex Eskin, & Amie Wilkinson. (2020). Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group. Astérisque. 415. 157–180. 1 indexed citations

Bonatti, Christian, Alex Eskin, & Amie Wilkinson. (2020). Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group. Astérisque. 415. 157–180.

Avila, Artur, et al.. (2018). Cocycles over partially hyperbolic maps. Astérisque. 2 indexed citations

Burns, Keith, Howard Masur, Carlos Matheus, & Amie Wilkinson. (2017). Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces. Geometric and Functional Analysis. 27(2). 240–288. 6 indexed citations

Burns, Keith, Howard Masur, Carlos Matheus, & Amie Wilkinson. (2016). Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces. Advances in Mathematics. 306. 589–602. 3 indexed citations

Burns, Keith & Amie Wilkinson. (2010). On the ergodicity of partially hyperbolic systems. Annals of Mathematics. 171(1). 451–489. 78 indexed citations

10.

Bonatti, Christian, et al.. (2008). Local density of diffeomorphisms with large centralizers. Annales Scientifiques de l École Normale Supérieure. 41(6). 925–954. 7 indexed citations

11.

Bonatti, Christian, et al.. (2008). $C^1$-generic conservative diffeomorphisms have trivial centralizer. Journal of Modern Dynamics. 2(2). 359–373. 7 indexed citations

12.

Bonatti, Christian & Amie Wilkinson. (2005). Transitive partially hyperbolic diffeomorphisms on 3-manifolds. Topology. 44(3). 475–508. 30 indexed citations

13.

Bonatti, Christian, Carlos Matheus, Marcelo Viana, & Amie Wilkinson. (2004). Abundance of stable ergodicity. Commentarii Mathematici Helvetici. 79(4). 753–757. 13 indexed citations

14.

Ledrappier, François, Michael Shub, Carles Simó, & Amie Wilkinson. (2003). Random Versus Deterministic Exponents in a Rich Family of Diffeomorphisms. Journal of Statistical Physics. 113(1-2). 85–149. 15 indexed citations

15.

Ruelle, David & Amie Wilkinson. (2001). Absolutely Singular Dynamical Foliations. Communications in Mathematical Physics. 219(3). 481–487. 38 indexed citations

16.

Shub, Michael & Amie Wilkinson. (2000). Pathological foliations and removable zero exponents. Inventiones mathematicae. 139(3). 495–508. 83 indexed citations

17.

Burns, Keith, Charles Pugh, & Amie Wilkinson. (2000). Stable ergodicity and Anosov flows. Topology. 39(1). 149–159. 12 indexed citations

18.

Shub, Michael & Amie Wilkinson. (2000). Stably ergodic approximation: two examples. Ergodic Theory and Dynamical Systems. 20(3). 875–893. 11 indexed citations

19.

Hasselblatt, Boris & Amie Wilkinson. (1999). Prevalence of non-Lipschitz Anosov foliations. Ergodic Theory and Dynamical Systems. 19(3). 643–656. 17 indexed citations

20.

Hasselblatt, Boris & Amie Wilkinson. (1997). Prevalence of non-Lipschitz Anosov foliations. Repository for Publications and Research Data (ETH Zurich). 3(14). 93–98. 5 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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