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- Centre National de la Recherche ScientifiqueFR105 papers
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7 papers · 2 filters
Diffusion for chaotic plane sections of 3-periodic surfaces
Artur Avila, Pascal Hubert, Alexandra Skripchenko
We study chaotic plane sections of some particular family of triply periodic surfaces. The question about possible behavior of such sections was posed by S. P. Novikov. We prove so…
Lyapunov Exponents of Linear Cocycles Over Markov Shifts
Elaís C. Malheiro, Marcelo Viana
The Lyapunov exponents of GL(2)-cocycles over Markov shifts depend continuously on the underlying data, that is, on the matrix coefficients and the Markov measure transition probab…
Geometric and measure-theoretical structures of maps with mostly contracting center
Dmitry Dolgopyat, Marcelo Viana, Jiagang Yang
We show that every diffeomorphism with mostly contracting center direction exhibits a geometric-combinatorial structure, which we call \emph{skeleton}, that determines the number,…
Darboux-Halphen-Ramanujan Vector Field on a Moduli of Calabi-Yau Manifolds
Younes Nikdelan
In this paper we obtain an ordinary differential equation from a Picard-Fuchs equation associated with a nowhere vanishing holomorphic -form. We work on a moduli space…
Stochastic Perturbations of Convex Billiards
Roberto Markarian, Leonardo T. Rolla, Vladas Sidoravicius +2
We consider a strictly convex billiard table with boundary, with the dynamics subjected to random perturbations. Each time the billiard ball hits the boundary its reflection…
Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems
Lucas H. Backes, Alejandro Kocsard
We prove a rigidity theorem for dominated Hölder cocycles with values on diffeomorphism groups of a compact manifold over hyperbolic homeomorphisms. More precisely, we show that if…