Sylvain Crovisier

1.2k total citations
51 papers, 533 citations indexed

About

Sylvain Crovisier is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Sylvain Crovisier has authored 51 papers receiving a total of 533 indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Mathematical Physics, 29 papers in Geometry and Topology and 20 papers in Statistical and Nonlinear Physics. Recurrent topics in Sylvain Crovisier's work include Mathematical Dynamics and Fractals (47 papers), Quantum chaos and dynamical systems (20 papers) and Advanced Differential Equations and Dynamical Systems (18 papers). Sylvain Crovisier is often cited by papers focused on Mathematical Dynamics and Fractals (47 papers), Quantum chaos and dynamical systems (20 papers) and Advanced Differential Equations and Dynamical Systems (18 papers). Sylvain Crovisier collaborates with scholars based in France, Brazil and United States. Sylvain Crovisier's co-authors include Christian Bonatti, Flavio Abdenur, François Béguin, Dawei Yang, Lorenzo J. Díaz, Frédéric Le Roux, Amie Wilkinson, Enrique Pujals, Longping Wen and Martı́n Sambarino and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Sylvain Crovisier

45 papers receiving 492 citations

Peers

Sylvain Crovisier
Amie Wilkinson United States
Lan Wen China
Huyi Hu United States
Amie Wilkinson United States
Sylvain Crovisier
Citations per year, relative to Sylvain Crovisier Sylvain Crovisier (= 1×) peers Amie Wilkinson

Countries citing papers authored by Sylvain Crovisier

Since Specialization
Citations

This map shows the geographic impact of Sylvain Crovisier'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 Sylvain Crovisier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sylvain Crovisier more than expected).

Fields of papers citing papers by Sylvain Crovisier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sylvain Crovisier. 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 Sylvain Crovisier. The network helps show where Sylvain Crovisier may publish in the future.

Co-authorship network of co-authors of Sylvain Crovisier

This figure shows the co-authorship network connecting the top 25 collaborators of Sylvain Crovisier. A scholar is included among the top collaborators of Sylvain Crovisier 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 Sylvain Crovisier. Sylvain Crovisier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Crovisier, Sylvain & Dawei Yang. (2025). On the nonlinear Poincaré flow. Nonlinearity. 38(3). 35022–35022.
2.
Crovisier, Sylvain, Enrique Pujals, & Charles Tresser. (2024). Mildly dissipative diffeomorphisms of the disk with zero entropy. Acta Mathematica. 232(2). 221–323. 1 indexed citations
3.
Crovisier, Sylvain, et al.. (2024). Uniqueness of u-Gibbs Measures for Hyperbolic Skew Products on $$\mathbb {T}^4$$. Communications in Mathematical Physics. 405(9). 1 indexed citations
4.
Crovisier, Sylvain, et al.. (2024). On physical measures of multi-singular hyperbolic vector fields. Transactions of the American Mathematical Society.
5.
Crovisier, Sylvain, et al.. (2022). Symplectomorphisms with positive metric entropy. Proceedings of the London Mathematical Society. 124(5). 691–712.
6.
Béguin, François, Sylvain Crovisier, & Frédéric Le Roux. (2020). Fixed point sets of isotopies on surfaces. Journal of the European Mathematical Society. 22(6). 1971–2046. 6 indexed citations
7.
Béguin, François, Sylvain Crovisier, & Frédéric Le Roux. (2019). Projective transformations of rotation sets. Nonlinearity. 32(4). 1237–1241. 1 indexed citations
8.
9.
Crovisier, Sylvain, Rafaël Potrie, & Martı́n Sambarino. (2017). Finiteness of partially hyperbolic attractors with one-dimensional\n center. arXiv (Cornell University). 1 indexed citations
10.
Buzzi, Jérôme, Sylvain Crovisier, & Todd Fisher. (2017). The entropy of 𝐶¹-diffeomorphisms without a dominated splitting. Transactions of the American Mathematical Society. 370(9). 6685–6734. 11 indexed citations
11.
Crovisier, Sylvain, Martı́n Sambarino, & Dawei Yang. (2015). Partial hyperbolicity and homoclinic tangencies. Journal of the European Mathematical Society. 17(1). 1–49. 14 indexed citations
12.
Bonatti, Christian, et al.. (2013). The C 1+ hypothesis in Pesin theory revisited. arXiv (Cornell University). 2 indexed citations
13.
Crovisier, Sylvain. (2010). Partial hyperbolicity far from homoclinic bifurcations. Advances in Mathematics. 226(1). 673–726. 24 indexed citations
14.
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
15.
Bonatti, Christian, et al.. (2008). $C^1$-generic conservative diffeomorphisms have trivial centralizer. Journal of Modern Dynamics. 2(2). 359–373. 7 indexed citations
16.
Crovisier, Sylvain, et al.. (2006). Dynamique des difféomorphismes conservatifs des surfaces : un point de vue topologique. 2 indexed citations
17.
Crovisier, Sylvain. (2006). Perturbation of C1-diffeomorphisms and generic conservative dynamics on surfaces. 1 indexed citations
18.
Crovisier, Sylvain, et al.. (2005). IFS attractors and Cantor sets. Topology and its Applications. 153(11). 1849–1859. 20 indexed citations
19.
Crovisier, Sylvain. (2002). Langues d'Arnol'd généralisées des applications de l'anneau déviant la verticale. Comptes Rendus Mathématique. 334(1). 47–52. 1 indexed citations
20.
Crovisier, Sylvain. (2002). Une remarque sur les ensembles hyperboliques localement maximaux. Comptes Rendus Mathématique. 334(5). 401–404. 13 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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