Christian Bonatti

3.7k total citations
94 papers, 1.8k citations indexed

About

Christian Bonatti is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Christian Bonatti has authored 94 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 88 papers in Mathematical Physics, 63 papers in Geometry and Topology and 46 papers in Statistical and Nonlinear Physics. Recurrent topics in Christian Bonatti's work include Mathematical Dynamics and Fractals (85 papers), Quantum chaos and dynamical systems (42 papers) and Geometric and Algebraic Topology (33 papers). Christian Bonatti is often cited by papers focused on Mathematical Dynamics and Fractals (85 papers), Quantum chaos and dynamical systems (42 papers) and Geometric and Algebraic Topology (33 papers). Christian Bonatti collaborates with scholars based in France, Brazil and China. Christian Bonatti's co-authors include Lorenzo J. Díaz, Marcelo Viana, В. З. Гринес, José F. Alves, Enrique Pujals, Sylvain Crovisier, Flavio Abdenur, Amie Wilkinson, В. С. Медведев and Xavier Gómez-Mont and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Christian Bonatti

88 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Christian Bonatti France 22 1.7k 1.2k 965 146 145 94 1.8k
Lorenzo J. Díaz Brazil 20 1.1k 0.6× 783 0.7× 621 0.6× 77 0.5× 151 1.0× 57 1.2k
Feliks Przytycki Poland 24 1.4k 0.8× 680 0.6× 674 0.7× 364 2.5× 60 0.4× 58 1.5k
Enrique Pujals Brazil 15 769 0.4× 576 0.5× 438 0.5× 84 0.6× 105 0.7× 47 878
J. Smı́tal Czechia 20 1.3k 0.7× 677 0.6× 474 0.5× 231 1.6× 81 0.6× 74 1.4k
Tomasz Downarowicz Poland 16 774 0.5× 257 0.2× 336 0.3× 81 0.6× 40 0.3× 72 892
Jörg Schmeling Germany 13 789 0.5× 365 0.3× 198 0.2× 55 0.4× 52 0.4× 35 847
François Ledrappier France 13 673 0.4× 333 0.3× 282 0.3× 157 1.1× 40 0.3× 41 746
Alexander Blokh United States 15 603 0.4× 294 0.3× 306 0.3× 68 0.5× 30 0.2× 80 653
Oliver Jenkinson United Kingdom 15 524 0.3× 192 0.2× 179 0.2× 76 0.5× 42 0.3× 42 594
Dmitry Dolgopyat United States 15 627 0.4× 399 0.3× 130 0.1× 73 0.5× 43 0.3× 39 709

Countries citing papers authored by Christian Bonatti

Since Specialization
Citations

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

Fields of papers citing papers by Christian Bonatti

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Christian Bonatti

This figure shows the co-authorship network connecting the top 25 collaborators of Christian Bonatti. A scholar is included among the top collaborators of Christian Bonatti 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 Christian Bonatti. Christian Bonatti 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.
Barros, Diego, Christian Bonatti, & Maria José Pacífico. (2024). Upper, down, two-sided Lorenz attractor, collisions, merging, and switching. Ergodic Theory and Dynamical Systems. 44(10). 2737–2781. 2 indexed citations
2.
Bonatti, Christian. (2024). Action on the circle at infinity of foliations of ${\mathbb{R}}^{2}$. SPIRE - Sciences Po Institutional REpository. 72(1). 85–146. 1 indexed citations
3.
Bonatti, Christian, et al.. (2023). A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class. Ergodic Theory and Dynamical Systems. 44(8). 2080–2142. 1 indexed citations
4.
Bonatti, Christian, et al.. (2021). Star flows and multisingular hyperbolicity. Journal of the European Mathematical Society. 23(8). 2649–2705. 5 indexed citations
5.
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
6.
Bochi, Jairo, Christian Bonatti, & Katrin Gelfert. (2018). Dominated pesin theory: convex sum of hyperbolic measures. Americanae (AECID Library). 2 indexed citations
7.
Bonatti, Christian, et al.. (2018). On the existence of non-hyperbolic ergodic measures as the limit of periodic measures. Ergodic Theory and Dynamical Systems. 39(11). 2932–2967. 4 indexed citations
8.
Bonatti, Christian, et al.. (2018). Foliated hyperbolicity and foliations with hyperbolic leaves. Ergodic Theory and Dynamical Systems. 40(4). 881–903. 5 indexed citations
9.
Bonatti, Christian, et al.. (2017). Transverse foliations on the torus $\mathbb T^2$ and partially hyperbolic diffeomorphisms on 3-manifolds. Commentarii Mathematici Helvetici. 92(3). 513–550. 3 indexed citations
10.
Bonatti, Christian, et al.. (2016). Rigidity for $$C^1$$ C 1 actions on the interval arising from hyperbolicity I: solvable groups. Mathematische Zeitschrift. 286(3-4). 919–949. 14 indexed citations
11.
Bonatti, Christian, et al.. (2015). Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics. Ergodic Theory and Dynamical Systems. 36(4). 1067–1105. 16 indexed citations
12.
Bonatti, Christian, Shaobo Gan, & Dawei Yang. (2015). Dominated chain recurrent class with singularities. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 83–99. 3 indexed citations
13.
Bonatti, Christian, et al.. (2014). Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent\n examples. arXiv (Cornell University). 10 indexed citations
14.
Bonatti, Christian, et al.. (2013). The C 1+ hypothesis in Pesin theory revisited. arXiv (Cornell University). 2 indexed citations
15.
Bonatti, Christian & Lorenzo J. Díaz. (2012). Abundance of 𝐶¹-robust homoclinic tangencies. Transactions of the American Mathematical Society. 364(10). 5111–5148. 32 indexed citations
16.
Bonatti, Christian, Ming Li, & Dawei Yang. (2012). A robustly chain transitive attractor with singularities of different indices. Journal of the Institute of Mathematics of Jussieu. 12(3). 449–501. 5 indexed citations
17.
Bonatti, Christian, Carlos Matheus, Marcelo Viana, & Amie Wilkinson. (2004). Abundance of stable ergodicity. Commentarii Mathematici Helvetici. 79(4). 753–757. 13 indexed citations
18.
Bonatti, Christian, et al.. (2003). Topological classification of gradient-like diffeomorphisms on 3-manifolds. Topology. 43(2). 369–391. 32 indexed citations
19.
Bonatti, Christian, et al.. (2002). Three-manifolds admitting Morse–Smale diffeomorphisms without heteroclinic curves. Topology and its Applications. 117(3). 335–344. 39 indexed citations
20.
Béguin, François & Christian Bonatti. (2002). Flots de Smale en dimension 3: présentations finies de voisinages invariants d'ensembles selles. Topology. 41(1). 119–162. 10 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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Rankless by CCL
2026