Dominique Malicet

activity

20132026

most citedGeneralization of the Nualart-Peccati criterion

30 citations · 121 across the 22 of their papers we have counts for

collaborators

25 papers

math.DS2026

Limit theorems for random matrix products with a simple top Lyapunov exponent

Pablo G. Barrientos, Dominique Malicet

We study products of independent, identically distributed random matrices with an exponential moment and a simple top Lyapunov exponent, without assuming irreducibility. Outside an…

math.DS2026

(co)Quasi-irreducible and (co)expanding random maps

Pablo G. Barrientos, Isaia Nisoli, Dominique Malicet

We study quasi-irreducibility, expansion, and their cotangent duals for random $C^{1}$ (local) diffeomorphisms on compact invariant sets of a Riemannian manifold. Quasi-irreducibilit…

math.DS2025

Finitude of physical measures for Markovian random maps

Pablo G. Barrientos, Dominique Malicet, Fumihiko Nakamura +2

We study the finiteness of physical measures for skew-product transformations $F$ associated with discrete-time random dynamical systems driven by ergodic Markov chains. We develop…

math.DS2025

Random Dynamical Systems on the circle without a finite orbit

Dominique Malicet, Graccyela Salcedo

In this paper, we study Random Dynamical Systems (RDSs) of homeomorphisms on the circle without a finite orbit. We characterize the topological dynamics of the associated semigroup…

math.PR2024

Limit distributions for polynomials with independent and identically distributed entries

Ronan Herry, Dominique Malicet, Guillaume Poly

We characterize the limiting distributions of random variables of the form $P_{n} ((X_{i})_{i \geq 1})$ , where: (i) $(P_{n})_{n \geq 1}$ is a sequence of multivariate polynomia…

math.DS2024

Mostly contracting random maps

Pablo G. Barrientos, Dominique Malicet

We study the long-term behavior of independent random iterations of Lipschitz transformations on a compact metric space. Such a random map is said to be mostly contracting if all L…

math.PR2024

Sharp total variation rates of convergence for fluctuations of linear statistics of $β$ -ensembles

Jürgen Angst, Ronan Herry, Dominique Malicet +1

In this article, we revisit the question of fluctuations of linear statistics of beta ensembles in the single cut and non-critical regime for general potentials $V$ under mild regu…

math.DS2023

Random actions of homeomorphisms of Cantor sets embedded in a line and Tits alternative

Dominique Malicet, Emmanuel Militon

In 2000, Margulis proved that any group of homeomorphisms of the circle either preserves a probabilty measure on the circle or contains a free subgroup in two generators, which is…

math.PR2023

Regularity of laws via Dirichlet forms -- Application to quadratic forms in independent and identically distributed random variables

Ronan Herry, Dominique Malicet, Guillaume Poly

We study the regularity of the law of a quadratic form $Q (X, X)$ , evaluated in a sequence $X = (X_{i})$ of independent and identically distributed random variables, when $X_{1}$ can…

math.PR2023★ 4 cited

Superconvergence phenomenon in Wiener chaoses

Ronan Herry, Dominique Malicet, Guillaume Poly

We establish an unexpected phenomenon of strong regularization along normal convergence on Wiener chaoses. For every sequence of chaotic random variables, convergence in law to the…

math.PR2023★ 6 cited

Almost sure behavior of the critical points of random polynomials

Jürgen Angst, Dominique Malicet, Guillaume Poly

Let $(Z_{k})_{k \geq 1}$ be a sequence of independent and identically distributed complex random variables with common distribution $μ$ and let $P_{n} (X) := \prod_{k = 1}^{n} (X - Z_{k})$ the ass…

math.PR2022★ 12 cited

A short proof of the strong three dimensional Gaussian product inequality

Ronan Herry, Dominique Malicet, Guillaume Poly

We prove the strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or com…

math.DS2021

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications

Sébastien Alvarez, Pablo G. Barrientos, Dmitry Filimonov +4

In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of r…

math.DS2020★ 2 cited

Lyapunov exponent of random dynamical systems on the circle

Dominique Malicet

We consider products of a i.i.d. sequence in a set ${f_{1}, \dots, f_{m}}$ of preserving orientation diffeomorphisms of the circle. we can naturally associate a Lyapunov exponent $λ$ .…

math.GR2019★ 1 cited

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction

Juan Alonso, Sébastien Alvarez, Dominique Malicet +2

Following the recent advances in the study of groups of circle diffeomorphisms, we describe an efficient way of classifying the topological dynamics of locally discrete, finitely g…

math.DS2019

Groups of smooth diffeomorphisms of Cantor sets embedded in a line

Dominique Malicet, Emmanuel Militon

Let K be a Cantor set embedded in the real line R. Following Funar and Neretin, we define the diffeomorphism group of K as the group of homeomorphisms of K which locally look like…

math.DS2018

Entropy, Lyapunov exponents, and rigidity of group actions

Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4

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 Teresó…

math.DS2018★ 4 cited

Extremal exponents of random products of conservative diffeomorphisms

Pablo G. Barrientos, Dominique Malicet

We show that for a $C^{1}$ -open and $C^{r}$ -dense subset of the set of ergodic iterated function systems of conservative diffeomorphisms of a finite-volume manifold of dimension $d\g…

math.GR2017

Ping-pong configurations and circular orders on free groups

Dominique Malicet, Kathryn Mann, Cristobal Rivas +1

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…

math.DS2015★ 18 cited

On the chaos game of Iterated Function Systems

Pablo G. Barrientos, F. H. Ghane, Dominique Malicet +1

Every quasi-attractor of an iterated function system (IFS) of continuous functions on a first-countable Hausdorff topological space is renderable by the probabilistic chaos game. B…

math.DS2015★ 8 cited

Groups with infinitely many ends acting analytically on the circle

Sébastien Alvarez, Dmitry Filimonov, Victor Kleptsyn +4

This article takes the inspiration from two milestones in the study of non minimal actions of groups on the circle: Duminy's theorem about the number of ends of semi-exceptional le…

math.PR2015★ 22 cited

Squared chaotic random variables: new moment inequalities with applications

Dominique Malicet, Ivan Nourdin, Giovanni Peccati +1

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…

math.DS2014★ 5 cited

Random walks on $Homeo (S^{1})$

Dominique Malicet

In this paper, we study random walks $g_{n} = f_{n - 1} \dots f_{0}$ on the group $Homeo (S^{1})$ of the homeomorphisms of the circle, where the homeomorphisms $f_{k}$ are chosen rando…

math.DS2013★ 9 cited

Expanding actions: minimality and ergodicity

Pablo G. Barrientos, Abbas Fakhari, Dominique Malicet +1

We prove that every expanding minimal semigroup action of $C^{1}$ diffeomorphisms of a compact manifold (resp. $C^{1 + α}$ conformal) is robustly minimal (resp. ergodic with respect to…

Limit theorems for random matrix products with a simple top Lyapunov exponent

(co)Quasi-irreducible and (co)expanding random maps

Finitude of physical measures for Markovian random maps

Random Dynamical Systems on the circle without a finite orbit

Limit distributions for polynomials with independent and identically distributed entries

Mostly contracting random maps

Sharp total variation rates of convergence for fluctuations of linear statistics of β-ensembles

Random actions of homeomorphisms of Cantor sets embedded in a line and Tits alternative

Regularity of laws via Dirichlet forms -- Application to quadratic forms in independent and identically distributed random variables

Superconvergence phenomenon in Wiener chaoses

Almost sure behavior of the critical points of random polynomials

A short proof of the strong three dimensional Gaussian product inequality

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications

Lyapunov exponent of random dynamical systems on the circle

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction

Groups of smooth diffeomorphisms of Cantor sets embedded in a line

Entropy, Lyapunov exponents, and rigidity of group actions

Extremal exponents of random products of conservative diffeomorphisms

Ping-pong configurations and circular orders on free groups

On the chaos game of Iterated Function Systems

Groups with infinitely many ends acting analytically on the circle

Squared chaotic random variables: new moment inequalities with applications

Random walks on Homeo(S1)

Expanding actions: minimality and ergodicity

Sharp total variation rates of convergence for fluctuations of linear statistics of $β$ -ensembles

Random walks on $Homeo (S^{1})$