output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2013 · math.DSShow all

6 papers · 2 filters

math.DS2013

On the Hausdorff dimension of the Rauzy gasket

Artur Avila, Pascal Hubert, Alexandra Skripchenko

In this paper, we prove that the Hausdorff dimension of the Rauzy gasket is less than 2. By this result, we answer a question addressed by Pierre Arnoux. Also, this question is a v…

math.DS2013★ 19 cited

Asymptotically periodic piecewise contractions of the interval

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

We consider the iterates of a generic injective piecewise contraction of the interval defined by a finite family of contractions. Let , , be -…

math.DS2013★ 15 cited

When periodicities enforce aperiodicity

Nicolas Bédaride, Thomas Fernique

Aperiodic tilings are non-periodic tilings defined by local rules. They are widely used to model quasicrystals, and a central question is to understand which of the non-periodic ti…

math.DS2013

Poisson Lie Sigma Models

Boris Arm

A Manin triples (D; g; ~ g) is a bialgebra (g; ~ g which don't intersect each others and a direct sum of this bialgebra D = g ~ g). If the corresponding Lie groups have a Poisson s…

math.DS2013

Asymptotic self-similarity and order-two ergodic theorems for renewal flows

Albert M. Fisher, Marina Talet

We prove a log average almost-sure invariance principle (log asip) for renewal processes with positive i.i.d. gaps in the domain of attraction of an -stable law with . Dy…

math.DS2013

Random product of substitutions with the same incidence matrix

Pierre Arnoux, Masahiro Mizutani, Tarek Sellami

Any infinite sequence of substitutions with the same matrix of the Pisot type defines a symbolic dynamical system which is minimal. We prove that, to any such sequence, we can asso…