Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

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138 papers · 1 filter

math.DS2025

Freezing phase transition for the Thue-Morse subshift

Nicolas Bédaride, Julien Cassaigne, Pascal Hubert +1

On the full shift on two symbols, we consider the potential defined by $V (x) = \frac{1}{n}$ where $n$ denotes the longest common prefix between the infinite word $x$ and an element…

math.DS2025

Left-handed geodesic flow of spheres of revolution

Pierre Dehornoy, Ana Rechtman

A flow on a 3-manifold is left-handed if any two ergodic invariant measures have negative linking number. We prove that on a 2-sphere of revolution whose curvature is $1/4$ -pinched…

math.DS2025

Quenched invariance principle with a rate for random dynamical systems

Zhenxin Liu, Benoit Saussol, Sandro Vaienti +1

In this paper, we consider the quenched invariance principle for random Young towers driven by an ergodic system. In particular, we obtain the Wassertein convergence rate in the qu…

math.DS2025

On a theorem of François Robert

Brigitte Mossé, Sasha Pignol, Elisabeth Remy

A well-known theorem by François Robert expresses the degenerated character of a synchronous Boolean finite dynamical system, in the case where the associated regulatory graph does…

math.DS2025

On balance properties of hypercubic billiard words

Nicolas Bédaride, Valérie Berthé, Antoine Julien

This paper studies balance properties for billiard words. Billiard words generalize Sturmian words by coding trajectories in hypercubic billiards. In the setting of aperiodic order…

math.DS2025

On the minimal components of substitution subshifts

Raphaël Henry

In this paper we study substitutions on $A^{Z}$ where $A$ is a finite alphabet. We precisely characterize the minimal components of substitution subshifts, give an optimal b…