output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2014 · math.DSShow all

9 papers · 2 filters

math.DS2014★ 40 cited

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…

math.DS2014★ 7 cited

On Hoelder-continuity of Oseledets subspaces

Vitor Araujo, Alexander I. Bufetov, Simion Filip

For Hoelder cocycles over a Lipschitz base transformation, possibly non-invertible, we show that the subbundles given by the Oseledets Theorem are Hoelder-continuous on compact set…

math.DS2014★ 8 cited

No Weak Local Rules for the 4p-Fold Tilings

Nicolas Bédaride, Thomas Fernique

On the one hand, Socolar showed in 1990 that the n-fold planar tilings admit weak local rules when n is not divisible by 4 (the n=10 case corresponds to the Penrose tilings and is…

math.DS2014★ 7 cited

Newton maps as matings of cubic polynomials

Magnus Aspenberg, Pascale Roesch

In this paper we prove existence of matings between a large class of renormalizable cubic polynomials with one fixed critical point and another cubic polynomial having two fixed cr…

math.DS2014★ 3 cited

Piecewise contractions defined by iterated function systems

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

Let be Lipschitz contractions. Let , and . We prove that for Lebesgue almost every satisfying $0<x_1<\cd…

math.DS2014

Volume entropy for minimal presentations of surface groups in all ranks

Lluís Alsedà, David Juher, Jérôme Los +1

We study the volume entropy of a class of presentations (including the classical ones) for all surface groups, called \emph{minimal geometric presentations}. We rediscover a formul…