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20022008
most citedBSDEs with stochastic Lipschitz condition and quadratic PDEs in Hilbert spaces

100 citations

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math.DS2008★ 2 cited

Two counterexamples in rational and interval dynamics

Nicolae Mihalache

In rational dynamics, we prove the existence of a polynomial that satisfies the Topological Collet-Eckmann condition, but which has a recurrent critical orbit that is not Collet-Ec…

math.DS2008

Substitutional dynamical systems, Bratteli diagrams and dimension groups

Fabien Durand, Bernard Host, Christian Skau

The present paper explores substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithm…

math.DS2008

Convergence of weighted polynomial multiple ergodic averages

Qing Chu

We study here weighted polynomial multiple ergodic averages. A sequence of weights is called universally good if any polynomial multiple ergodic average with this sequence of weigh…

math.DS2008

Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems

Maria Isabel Cortez, Fabien Durand, Bernard Host +1

The class of linearly recurrent Cantor systems contains the substitution subshifts and some odometers. For substitution subshifts and odometers measure--theoretical and continuous…

math.DS2007

Analysis of two step nilsequences

Bernard Host, Bryna Kra

Nilsequences arose in the study of the multiple ergodic averages associated to Furstenberg's proof of Szemerédi's Theorem and have since played a role in problems in additive combi…