Dominique
Malicet
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Topics of research
ANR project
I participated to the ANR project Gromeov, on the study of group actions on manifolds of small dimensions, supervised by Michele Triestino and Victor Kleptsyn between 2019 and 2024.
I organize the analysis seminar of the LAMA with Colin Petitjean
[page].
Preprints
Title: Exposants de Lyapunov de systemes dynamiques aleatoires sur le tore
-"The 2x-3x theorem of Furstenberg", appendix chapter for the text "Entropy, Lyapunov exponents, and rigidity of group actions" of A.Brown, in Ensaios Matemáticos, 2019, vol. 33
Responsabilities
Publications
1-"Properties of convergence in Dirichlet structures", Journal of Functional Analysis, 2013, vol. 264, no 9, p. 2077-2096. With Guillaume Poly.
[Journal]
2-"Generalization of the Nualart–Peccati criterion", The Annals of Probability, 2016, vol. 44, no 2, p. 924-954. With Ehsan Azmoodeh, Guillaume Mijoule and Guillaume Poly.
[Journal]
[arxiv]
3-"Squared chaotic random variables: new moment inequalities with applications", Journal of Functional Analysis, 2016, vol. 270, no 2, p. 649-670. With Ivan Nourdin, Giovanni Peccati and Guillaume Poly.
[Journal]
[arxiv]
4-"Random walks on Homeo(S1)", Communications in Mathematical Physics, 2017, vol. 356, p. 1083-1116.
[Journal]
[arxiv]
5-"Expanding actions: minimality and ergodicity", Stochastics and Dynamics, 2017, vol. 17, no 04. With Pablo G. Barrientos, Abbas Fakhari and Aliasghar Sarizadeh.
[Journal]
[arxiv]
6-"On the chaos game of iterated function systems", Topological Methods in Nonlinear Analysis, 2017, vol. 49, no 1, p.105-132. With Pablo G. Barrientos, Fatemeh H. Ghane, Aliasghar Sarizadeh.
[Journal]
[arxiv]
7-"Groups with infinitely many ends acting analytically on the circle", Journal of topology, 2019, vol. 12, no 4, p. 1315-1367. With Sébastien Alvarez, Dmitry Filimonov, Victor Kleptsyn, Carlos Meniño, Andrés Navas and Michele Triestino.
[Journal]
[arxiv]
8-"Ping-pong configurations and circular orders on free groups", Groups, Geometry, and Dynamics, 2019, vol. 13, no 4, p. 1195-1218. With Kathryn Mann, Cristòbal Rivas, Michele Triestino.
[Journal]
[arxiv]
9-"Extremal exponents of random products of conservative diffeomorphisms", Mathematische Zeitschrift, 2020, vol. 296, no 3-4, p. 1185-1207. With Pablo G. Barrientos.
[Journal]
[arxiv]
10-"Lyapunov exponent of random dynamical systems on the circle", Ergodic Theory and Dynamical Systems, 2022, vol. 42, no 6, p. 2080-2107.
[Journal]
[arxiv]
11-"Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction", Journal of Combinatorial Algebra, 2023, vol. 8, no 1, p. 57-109. With Juan Alonso, Sébastien Alvarez, Carlos M. Cotón and Michele Triestino.
[Journal]
[arxiv]
12-"Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications", Commentarii Mathematici Helvetici, 2023, vol. 98 , no 4 , p. 643-691. With Sébastien Alvarez, Pablo G. Barrientos, Carlos M. Cotón, Dmitry Filimonov, Victor Kleptsyn and Michele Triestino.
[Journal]
[arxiv]
13-"Almost sure behavior of the critical points of random polynomials", Bulletin of London Mathematical Society, 2024, vol. 56, no 2, p. 767-782. With Jürgen Angst and Guillaume Poly.
[Journal]
[arxiv]
14-"A short proof of the strong three dimensional Gaussian product inequality", Proceedings of the American Mathematical Society, 2024, vol. 152, no 1, p. 403-409. With Ronan Herry and Guillaume Poly.
[Journal]
[arxiv]
15-"Superconvergence phenomenon in Wiener chaoses", Annals of Probability, 2024, vol. 52, no 3, p. 1162-1200. With Ronan Herry and Guillaume Poly.
[Journal]
[arxiv]
16-"Regularity of laws via Dirichlet forms--Application to quadratic forms in independent and identically distributed random variables", Probability Theory and Related Fields, 2024. With Ronan Herry and Guillaume Poly.
[Journal]
[arxiv]
1-"Groups of smooth diffeomorphisms of Cantor sets embedded in a line", 2023. With Emmanuel Militon. Accepted in Annales de l'institut Fourier.
[arxiv]
2-"Random actions homeomorphisms of Cantor sets embedded in a line and Tits alternative", 2023. With Emmanuel Militon.
[arxiv]
3-"Sharp total variation rates of convergence for fluctuations of linear statistics of ß-ensembles", 2024. With Jürgen Angst, Ronan Herry and Guillaume Poly.
[arxiv]
4-"Limit distributions for polynomials with independent and identically distributed entries", 2024. With Ronan Herry and Guillaume Poly.
[arxiv]
5-"Mostly contracting random maps", 2024. With Pablo G. Barrientos.
[arxiv]
6-"Random Dynamical Systems on the circle without a finite orbit", 2025. With Graccyela Salcedo.
[arxiv]
PhD thesis
Advisor: Raphaël Krikorian
Place: Sorbonne Université
Year of defense: 2012
Reviewers: Konstantin Khanin and Jean-Cristophe Yoccoz
Jury: Artur Ávila, Sylvain Crovisier, Dmitry Dolgopyat, Bassam Fayad, Yves Le Jan and Jean-Paul Thouvenot
PDF: [here]
Miscellaneous notes
:
[here],
[integral text]
-"Série de Riemann à exposant oscillant", analysis topic for "Concours SMF junior" 2022 (french)
[questions],
[solution]