output
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 2022 · math.DSShow all

7 papers · 2 filters

math.DS2022

A parameter ASIP for the quadratic family

Magnus Aspenberg, Viviane Baladi, Tomas Persson

Consider the quadratic family , for and mixing Collet--Eckmann (CE) parameters . For bounded , set $\tilde φ_{a} := φ- \int φ\,…

math.DS2022★ 1 cited

Measure of maximal entropy for finite horizon Sinai billiard flows

Viviane Baladi, Jérôme Carrand, Mark Demers

Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "leapfrogging" method from a previous article of Baladi and Demers, we construct th…

math.DS2022★ 1 cited

Topological mean dimension of induced systems

David Burguet, Ruxi Shi

For a topological system with positive topological entropy, we show that the induced transformation on the set of probability measures endowed with the weak- topology has infini…

math.DS2022

Strongly isomorphic symbolic extensions for expansive topological flows

Yonatan Gutman, Ruxi Shi

In this paper, we prove that finite-dimensional topological flows without fixed points and having a countable number of periodic orbits, have the small flow boundary property. This…

math.DS2022★ 2 cited

On convergence of linear response formulae in some piecewise hyperbolic maps

Caroline L. Wormell

When high-dimensional non-uniformly hyperbolic chaotic systems undergo dynamical perturbations, their long-time statistics are generally observed to respond differentiably with res…

math.DS2022★ 1 cited

Rates of mixing for the measure of maximal entropy of dispersing billiard maps

Mark F. Demers, Alexey Korepanov

In a recent work, Baladi and Demers constructed a measure of maximal entropy for finite horizon dispersing billiard maps and proved that it is unique, mixing and moreover Bernoulli…

math.DS2022

Mean dimension of natural extension of algebraic systems

Bingbing Liang, Ruxi Shi

Mean dimension may decrease after taking the natural extension. In this paper we show that mean dimension is preserved by natural extension for an endomorphism on a compact metriza…