Laboratoire de Probabilités, Statistique et Modélisation

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20122026

most citedDeep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis

97 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 2020 · math.DSShow all

9 papers · 2 filters

math.DS2020

Logarithmic bounds for ergodic sums of certain flows on the torus: a short proof

Jérôme Carrand

We give a short proof that the ergodic sums of $C^{1}$ observables for a $C^{1}$ flow on $T^{2}$ admitting a closed transversal curve whose Poincaré map has…

math.DS2020★ 1 cited

Pre-threshold fractional susceptibility functions at Misiurewicz parameters

Julien Sedro

We show that the response, frozen and semifreddo fractional susceptibility functions of certain real-analytic unimodal families, at Misiurewicz parameters and for fractional differ…

math.DS2020★ 1 cited

Structure of Julia sets for post-critically finite endomorphisms on $p^{2}$

Zhuchao Ji

Let $f$ be a post-critically finite endomorphism (PCF map for short) on $P^{2}$ , let $J_{1}$ denote the Julia set and let $J_{2}$ denote the support of the measure of maximal en…

math.DS2020★ 7 cited

Thermodynamic formalism for dispersing billiards

Viviane Baladi, Mark Demers

For any finite horizon Sinai billiard map T on the two-torus, we find t_*>1 such that for each t in (0,t_*) there exists a unique equilibrium state $μ_{t}$ for $- t lo g J^{u} T$ , and $μ…

math.DS2020★ 7 cited

Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters

Viviane Baladi, Daniel Smania

For the quadratic family, we define the two-variable ( $η$ and $z$ ) fractional susceptibility function associated to a C^1 observable at a stochastic map. We also define an approxim…

math.DS2020★ 15 cited

Loss of memory and moment bounds for nonstationary intermittent dynamical systems

Alexey Korepanov, Juho Leppänen

We study nonstationary intermittent dynamical systems, such as compositions of a (deterministic) sequence of Pomeau-Manneville maps. We prove two main results: sharp bounds on memo…

math.DS2020

Statistical stability and linear response for random hyperbolic dynamics

Davor Dragičević, Julien Sedro

We consider families of random products of close-by Anosov diffeomorphisms, and show that statistical stability and linear response hold for the associated families of equivariant…

math.DS2020★ 8 cited

Regularity of characteristic exponents and linear response for transfer operator cocycles

Julien Sedro, Hans Henrik Rugh

We consider cocycles obtained by composing sequences of transfer operators with positive weights, associated with uniformly expanding maps (possibly having countably many branches)…

math.DS2020★ 14 cited

Linear Response for a Family of Self-Consistent Transfer Operators

Fanni M. Sélley, Matteo Tanzi

We study a system of all-to-all weakly coupled uniformly expanding circle maps in the thermodynamic limit. The state of the system is described by a probability measure and its evo…