output
20122026
most citedDeep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis

97 citations

Showing 2019 · math.DSShow all

10 papers · 2 filters

math.DS2019★ 6 cited

On the fractional susceptibility function of piecewise expanding maps

M. Aspenberg, V. Baladi, J. Leppänen +1

We associate to a perturbation of a (stably mixing) piecewise expanding unimodal map a two-variable fractional susceptibility function , depending also on…

math.DS2019★ 21 cited

Additive, almost additive and asymptotically additive potential sequences are equivalent

Noé Cuneo

Motivated by various applications and examples, the standard notion of potential for dynamical systems has been generalized to almost additive and asymptotically additive potential…

math.DS2019

Non-uniform hyperbolicity in polynomial skew products

Zhuchao Ji

Let be a polynomial skew product which leaves invariant an attracting vertical line . Assume moreover restricted to is non-uniformly h…

math.DS2019★ 3 cited

A self-consistent dynamical system with multiple absolutely continuous invariant measures

Fanni M. Sélley

In this paper we study a class of \emph{self-consistent dynamical systems}, self-consistent in the sense that the discrete time dynamics is different in each step depending on curr…

math.DS2019★ 21 cited

Quadratic response of random and deterministic dynamical systems

Stefano Galatolo, Julien Sedro

We consider the linear and quadratic higher order terms associated to the response of the statistical properties of a dynamical system to suitable small perturbations. These terms…

math.DS2019★ 5 cited

There are no deviations for the ergodic averages of the Giulietti-Liverani horocycle flows on the two-torus

Viviane Baladi

We show that the ergodic averages for the horocycle flow on the two-torus associated by Giulietti and Liverani to an Anosov diffeomorphism either grow linearly or are bounded, in o…

math.DS2019★ 3 cited

Transfer operator for ultradifferentiable expanding maps of the circle

Malo Jézéquel

Given a expanding map of the circle, we construct a Hilbert space of smooth functions on which the transfer operator associated…

math.DS2019★ 6 cited

Sunklodas' approach to normal approximation for time-dependent dynamical systems

Juho Leppänen, Mikko Stenlund

We consider time-dependent dynamical systems arising as sequential compositions of self-maps of a probability space. We establish conditions under which the Birkhoff sums for multi…

math.DS2019★ 8 cited

Entropy of physical measures for smooth systems

David Burguet

For a map on a compact manifold we prove that for a Lebesgue randomly picked point x there is an empirical measure from with entropy larger than or equal to the sum…

math.DS2019★ 3 cited

Global trace formula for ultra-differentiable Anosov flows

Malo Jézéquel

Adapting tools that we introduced in [19] to study Anosov flows, we prove that the trace formula conjectured by Dyatlov and Zworski in [12] holds for Anosov flows in a certain clas…