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

97 citations

Showing 2018 · math.DSShow all

7 papers · 2 filters

math.DS2018★ 6 cited

Central limit theorems with a rate of convergence for time-dependent intermittent maps

Olli Hella, Juho Leppänen

We study dynamical systems arising as time-dependent compositions of Pomeau-Manneville-type intermittent maps. We establish central limit theorems for appropriately scaled and cent…

math.DS2018★ 14 cited

Horocycle averages on closed manifolds and transfer operators

Alexander Adam, Viviane Baladi

We adapt to Anosov flows on compact manifolds a construction for discrete-time hyperbolic dynamics (), obtaining anisotropic Banach or Hilbert spaces on which the…

math.DS2018★ 25 cited

On the Measure of Maximal Entropy for Finite Horizon Sinai Billiard Maps

Viviane Baladi, Mark Demers

The Sinai billiard map on the two-torus, i.e., the periodic Lorentz gas, is a discontinuous map. Assuming finite horizon, we propose a definition for the topological entr…

math.DS2018★ 3 cited

Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2

Romain Dujardin

We prove that for a polynomial diffeomorphism of C^2, uniform hyperbolicity on the set of saddle periodic points implies that saddle points are dense in the Julia set. In particula…

math.DS2018★ 1 cited

Some problems of arithmetic origin in rational dynamics

Romain Dujardin

These are lecture notes from a course in arithmetic dynamics given in Grenoble in June 2017. The main purpose of this text is to explain how arithmetic equidistribution theory can…

math.DS2018

The variation of invariant graphs in forced systems

Bastien Fernandez, Anthony Quas

In skew-product systems with contractive factors, all orbits asymptotically approach the graph of the so-called sync function; hence, the corresponding regularity properties primar…

math.DS2018★ 6 cited

Non-wandering Fatou components for strongly attracting polynomial skew products

Zhuchao Ji

We show a partial generalization of Sullivan's non-wandering domain theorem in complex dimension two. More precisely, we show the non-existence of wandering Fatou components for po…