Lyapunov exponent of random dynamical systems on the circle

Autor: Dominique Malicet

Publikováno v: Ergodic Theory and Dynamical Systems. 42:2080-2107

We consider products of an independent and identically distributed sequence in a set $\{f_1,\ldots ,f_m\}$ of orientation-preserving diffeomorphisms of the circle. We can naturally associate a Lyapunov exponent $\lambda $ . Under few assumptions, it

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a25ec554e646b743e5fb90ece7c867a
https://doi.org/10.1017/etds.2021.22

Random Walks on Homeo(S 1)

Autor: Dominique Malicet

Publikováno v: Communications in Mathematical Physics. 356:1083-1116

In this paper, we study random walks $${g_n=f_{n-1}\ldots f_0}$$ on the group Homeo (S 1) of the homeomorphisms of the circle, where the homeomorphisms f k are chosen randomly, independently, with respect to a same probability measure $${\nu}$$ . We

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4f40d3b2cba912e31b62b2368e184b72
https://doi.org/10.1007/s00220-017-2996-5

Entropy, Lyapunov exponents, and rigidity of group actions

Autor: Michele Triestino, Bruno Santiago, Mario Roldán, Sébastien Alvarez, Dominique Malicet, Davi Obata, Aaron W. Brown

Publikováno v: Ensaios Matemáticos
Ensaios Matemáticos, Brazilian Mathematical Society, 2019, Ensaios Matemáticos, 33, pp.1-197
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This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teres\'opolis, Brazil in June 2016. The course introduced a number of classi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60aea30a3f67da8831e49cf16c1d3319
https://hal.archives-ouvertes.fr/hal-02473154

Ping-pong configurations and circular orders on free groups

Autor: Cristóbal Rivas, Kathryn Mann, Michele Triestino, Dominique Malicet

Publikováno v: Groups Geometry and Dynamics
Groups Geometry and Dynamics, European Mathematical Society, In press, 13 (4), pp.1195-1218. ⟨10.4171/GGD/519⟩
Groups, Geometry, and Dynamics
Groups, Geometry, and Dynamics, 2019, 13 (4), pp.1195-1218. ⟨10.4171/GGD/519⟩
Groups, Geometry, and Dynamics, European Mathematical Society, 2019, 13 (4), pp.1195-1218. ⟨10.4171/GGD/519⟩

We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or Markov partitions. Using this, we show that the free group $F_n$ admit

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Squared chaotic random variables: new moment inequalities with applications

Autor: Guillaume Poly, Ivan Nourdin, Dominique Malicet, Giovanni Peccati

Publikováno v: Journal of Functional Analysis
Journal of Functional Analysis, Elsevier, 2016, 270 (2), pp.649-670. 〈10.1016/j.jfa.2015.10.013〉
Journal of Functional Analysis, 2016, 270 (2), pp.649-670. ⟨10.1016/j.jfa.2015.10.013⟩
Journal of Functional Analysis, Elsevier, 2016, 270 (2), pp.649-670. ⟨10.1016/j.jfa.2015.10.013⟩
Journal of Functional Analysis, 270(2), 649-670. Academic Press (2016).

We prove a new family of inequalities involving squares of random variables belonging to the Wiener chaos associated with a given Gaussian field. Our result provides a substantial generalisation, as well as a new analytical proof, of an estimate by F

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f78d2df363570dc9148e50e4298b8abe
https://hal.archives-ouvertes.fr/hal-01132441