Patrick Cattiaux

2.4k total citations
53 papers, 1.1k citations indexed

About

Patrick Cattiaux is a scholar working on Statistics and Probability, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Patrick Cattiaux has authored 53 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Statistics and Probability, 20 papers in Applied Mathematics and 19 papers in Mathematical Physics. Recurrent topics in Patrick Cattiaux's work include Markov Chains and Monte Carlo Methods (20 papers), Geometric Analysis and Curvature Flows (14 papers) and Stochastic processes and financial applications (11 papers). Patrick Cattiaux is often cited by papers focused on Markov Chains and Monte Carlo Methods (20 papers), Geometric Analysis and Curvature Flows (14 papers) and Stochastic processes and financial applications (11 papers). Patrick Cattiaux collaborates with scholars based in France, Venezuela and Lebanon. Patrick Cattiaux's co-authors include Arnaud Guillin, Dominique Bakry, Cyril Roberto, Franck Barthe, Florent Malrieu, Sylvie Méléard, Liming Wu, Christian Léonard, M.F. Barthe and Pierre Collet and has published in prestigious journals such as SHILAP Revista de lepidopterología, PLoS ONE and SIAM Journal on Control and Optimization.

In The Last Decade

Patrick Cattiaux

51 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Patrick Cattiaux France 19 509 436 404 233 230 53 1.1k
Mu-Fa Chen China 19 392 0.8× 512 1.2× 447 1.1× 157 0.7× 168 0.7× 67 1.1k
Ivan Gentil France 16 895 1.8× 396 0.9× 271 0.7× 130 0.6× 185 0.8× 51 1.3k
Shigeo Kusuoka Japan 19 321 0.6× 640 1.5× 149 0.4× 360 1.5× 133 0.6× 54 1.1k
François Bolley France 13 344 0.7× 171 0.4× 168 0.4× 96 0.4× 225 1.0× 24 787
Dominique Bakry France 16 1.1k 2.1× 473 1.1× 300 0.7× 138 0.6× 153 0.7× 34 1.6k
Jaime San Martı́n Chile 18 216 0.4× 455 1.0× 219 0.5× 692 3.0× 95 0.4× 84 1.4k
Yuri G. Kondratiev Germany 14 218 0.4× 496 1.1× 246 0.6× 177 0.8× 118 0.5× 31 737
M. Cranston United States 16 305 0.6× 459 1.1× 118 0.3× 235 1.0× 78 0.3× 44 755
Tadahisa Funaki Japan 17 234 0.5× 542 1.2× 180 0.4× 384 1.6× 181 0.8× 54 1.0k
Krzysztof Burdzy United States 23 505 1.0× 960 2.2× 219 0.5× 580 2.5× 79 0.3× 127 1.7k

Countries citing papers authored by Patrick Cattiaux

Since Specialization
Citations

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

Fields of papers citing papers by Patrick Cattiaux

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Cattiaux

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Cattiaux. A scholar is included among the top collaborators of Patrick Cattiaux 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 Patrick Cattiaux. Patrick Cattiaux 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.
Cattiaux, Patrick, et al.. (2019). Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: The critical case. Kinetic and Related Models. 12(4). 727–748. 7 indexed citations
2.
Cattiaux, Patrick, et al.. (2019). Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Journal of Functional Analysis. 277(11). 108288–108288. 16 indexed citations
3.
Cattiaux, Patrick & Arnaud Guillin. (2016). Hitting times, functional inequalities, lyapunov conditions and uniform\n ergodicity. arXiv (Cornell University). 10 indexed citations
4.
5.
Müller, Sabina, Magda Rodrigues, Patrick Cattiaux, et al.. (2015). A Biased Competition Theory of Cytotoxic T Lymphocyte Interaction with Tumor Nodules. PLoS ONE. 10(3). e0120053–e0120053. 10 indexed citations
6.
Cattiaux, Patrick, José R. León, & Clémentine Prieur. (2013). Estimation for stochastic damping hamiltonian systems under partial observation—I. Invariant density. Stochastic Processes and their Applications. 124(3). 1236–1260. 12 indexed citations
7.
Cattiaux, Patrick, et al.. (2013). Limit theorems for some functionals with heavy tails of a discrete time Markov chain. ESAIM Probability and Statistics. 18. 468–482. 7 indexed citations
8.
Cattiaux, Patrick, Arnaud Guillin, & Cyril Roberto. (2010). Poincaré inequality and the $L^p$ convergence of semi-groups. Electronic Communications in Probability. 15(none). 6 indexed citations
9.
Cattiaux, Patrick, Nathaël Gozlan, Arnaud Guillin, & Cyril Roberto. (2010). Functional Inequalities for Heavy Tailed Distributions and Application to Isoperimetry. Electronic Journal of Probability. 15(none). 19 indexed citations
10.
Cattiaux, Patrick, Arnaud Guillin, Feng‐Yu Wang, & Liming Wu. (2009). Lyapunov conditions for Super Poincaré inequalities. Journal of Functional Analysis. 256(6). 1821–1841. 32 indexed citations
11.
Bakry, Dominique, Patrick Cattiaux, & Arnaud Guillin. (2007). Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Journal of Functional Analysis. 254(3). 727–759. 133 indexed citations
12.
Barthe, Franck, Patrick Cattiaux, & Cyril Roberto. (2007). Isoperimetry between exponential and Gaussian. Electronic Journal of Probability. 12(none). 33 indexed citations
13.
Cattiaux, Patrick & Arnaud Guillin. (2006). On quadratic transportation cost inequalities. Journal de Mathématiques Pures et Appliquées. 86(4). 342–361. 36 indexed citations
14.
Cattiaux, Patrick & Nathaël Gozlan. (2006). Deviations bounds and conditional principles for thin sets. Stochastic Processes and their Applications. 117(2). 221–250. 2 indexed citations
15.
Cattiaux, Patrick, et al.. (1996). Une approche Gibbsienne des diffusions Browniennes infini-dimensionnelles. Probability Theory and Related Fields. 104(2). 147–179. 2 indexed citations
16.
Cattiaux, Patrick, et al.. (1996). Entropy, Reversible Diffusion Processes, and Markov Uniqueness. Journal of Functional Analysis. 138(1). 243–272. 25 indexed citations
17.
Cattiaux, Patrick & Christian Léonard. (1995). Large deviations and Nelson processes. Forum Mathematicum. 7(7). 14 indexed citations
18.
Cattiaux, Patrick & Christian Léonard. (1994). Minimization of the Kullback information of diffusion processes. Annales De L Institut Henri Poincare-probabilites Et Statistiques. 30(1). 83–132. 27 indexed citations
19.
Cattiaux, Patrick. (1992). Stochastic calculus and degenerate boundary value problems. Annales de l’institut Fourier. 42(3). 541–624. 16 indexed citations
20.
Cattiaux, Patrick. (1986). Hypoellipticité et hypoellipticité partielle pour les diffusions avec une condition frontière. French digital mathematics library (Numdam). 22(1). 67–112. 11 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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