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

97 citations

Showing 2021 · math.DSShow all

6 papers · 2 filters

math.DS2021★ 6 cited

Quenched linear response for smooth expanding on average cocycles

Davor Dragičević, Paolo Giulietti, Julien Sedro

We establish an abstract quenched linear response result for random dynamical systems, which we then apply to the case of smooth expanding on average cocycles on the unit circle. I…

math.DS2021

SRB measures for C surface diffeomorphisms

David Burguet

A surface diffeomorphism admits a SRB measure if and only if the set \left \{x, \limsup_n \frac{1}{ n} \log \|d_xf^n \|> 0\right\} has positive Lebesgue measure. Moreove…

math.DS2021

Geometric methods in holomorphic dynamics

Romain Dujardin

In this note we review a selection of contemporary research themes in holomorphic dynamics. The main topics that will be discussed are: geometric (laminar and woven) currents and t…

math.DS2021

Exact dimension of Furstenberg measures

Francois Ledrappier, Pablo Lessa

For a probability measure on SL d (R), we consider the Furstenberg stationary measure on the space of flags. Under general non-degeneracy conditions, if is discrete and if…

math.DS2021★ 2 cited

Existence of physical measures in some Excitation-Inhibition Networks

Matteo Tanzi, Lai-Sang Young

In this paper we present a rigorous analysis of a class of coupled dynamical systems in which two distinct types of components, one excitatory and the other inhibitory, interact wi…

math.DS2021★ 2 cited

On variational principles for metric mean dimension

Ruxi Shi

In this note, we show several variational principles for metric mean dimension. First we prove a variational principles in terms of Shapira's entropy related to finite open covers.…