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19962022

most citedThe VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation

107 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.DSShow all

15 papers · 1 filter

math.DS2020★ 2 cited

Planar random walk in a stratified quasi-periodic environment

Julien Brémont

We study the recurrence of inhomogeneous Markov chains in the plane, when the environment is horizontally stratified and the heterogeneity of quasi-periodic type.

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

Extensions with shrinking fibers

Benoit Kloeckner

We consider dynamical systems $T : X \to X$ that are extensions of a factor $S : Y \to Y$ through a projection $π : X \to Y$ with shrinking fibers, i.e. such that $T$ is uniformly con…

math.DS2018

Latt{è}s maps and the interior of the bifurcation locus

Sébastien Biebler

We show the existence of open sets of bifurcations near Latt{è}s maps of sufficiently high degree. In particular, every Latt{è}s map has an iterate which is in the closure of the i…

math.DS2018★ 5 cited

Rates in almost sure invariance principle for slowly mixing dynamical systems

C. Cuny, J. Dedecker, A. Korepanov +1

We prove the one-dimensional almost sure invariance principle with essentially optimal rates for slowly (polynomially) mixing deterministic dynamical systems, such as Pomeau-Mannev…

math.DS2017

Effective high-temperature estimates for intermittent maps

Benoît Kloeckner

Using quantitative perturbation theory for linear operators, we prove spectral gap for transfer operators of various families of intermittent maps with almost constant potentials (…

math.DS2016★ 6 cited

Persistent homoclinic tangencies and infinitely many sinks for residual sets of automorphisms of low degree in C^{3}

Sébastien Biebler

We show that there exists a polynomial automorphism $f$ of $C^{3}$ of degree 2 such that for every automorphism $g$ sufficiently close to $f$ , $g$ admits a tangency betwee…

math.DS2016

Random walk in a stratified medium

Julien Brémont

We study the recurrence properties of a random walk in a stratified medium.

math.DS2015

Minimality of p-adic rational maps with good reduction

Ai-Hua Fan, Shilei Fan, Lingmin Liao +1

A rational map with good reduction in the field $Q_p$ of $p$ -adic numbers defines a $1$ -Lipschitz dynamical system on the projective line $P^{1} (Q_p)$ ov…

math.DS2014★ 7 cited

Upper and lower fast Khintchine spectra in continued fractions

Lingmin Liao, Michal Rams

For an irrational number $x \in [0, 1)$ , let $x = [a_1 (x), a_2 (x), \dots]$ be its continued fraction expansion. Let $ψ : N \to N$ be a function with $ψ(n)/n\…

math.DS2012★ 4 cited

Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems

Ai-Hua Fan, Lingmin Liao, Meng Wu

In this paper, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems. The multifractal spectrum of these multi…

math.DS2012★ 6 cited

Configurations of an Articulated Arm and Singularities of Special Multi-Flags

Fernand Pelletier, Mayada Slayman

P. Mormul has classified the singularities of special multi-flags in terms of "EKR class" encoded by sequences $j_{1}, \dots, j_{k}$ of integers (see [Singularity Theory Seminar, Warsaw…

math.DS2011

On Sussmann theorem for orbits of sets of vector fields on Banach manifolds

Arnauld Lathuille, Fernand Pelletier

The purpose of this paper is to give some generalizations, in the context of Banach mani- folds, of Sussmann's results about the orbits of families of vector fields ([Su]). Essenti…

math.DS2009

Multiple recurrence for two commuting transformations

Qing Chu

This paper is devoted to a study of the multiple recurrence of two commuting transformations. We derive a result which is similar but not identical to that of one single transforma…

math.DS2008

Convergence of multiple ergodic averages along cubes for several commuting transformations

Qing Chu

We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use reli…