Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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8 papers · 2 filters

math.DS2019★ 1 cited

Geometrization of Piecewise homeomorphisms of the circle

Jérôme Los, Natalia A. Viana Bedoya

In this work we study the following realization problem: given a piecewise homeomorphism $Φ : S^{1} \to S^{1}$ , which geometrical and dynamical conditions on $Φ$ are sufficient…

math.DS2019

Unique Ergodicity For Infinite Area Translation Surfaces

Alba Málaga Sabogal, Serge Troubetzkoy

We consider infinite staircase translation surfaces with varying step sizes. For typical step sizes we show that the translation flow is uniquely ergodic in almost every direction.…

math.DS2019

A Besicovitch-Morse function preserving the Lebesgue measure

Jozef Bobok, Serge Troubetzkoy

We continue the investigation of which non-dierentiable maps can occur in the framework of ergodic theory started in [2]. We construct a Besicovitch-Morse function map which preser…

math.DS2019★ 1 cited

Arnoux-Rauzy interval exchange transformations

Pierre Arnoux, Julien Cassaigne, Sébastien Ferenczi +1

The Arnoux-Rauzy systems are defined in \cite{ar}, both as symbolic systems on three letters and exchanges of six intervals on the circle. In connection with a conjecture of S.P. N…

math.DS2019★ 13 cited

Typical properties of interval maps preserving the Lebesgue measure

Jozef Bobok, Serge Troubetzkoy

Let us denote $λ$ the Lebesgue measure on $[0, 1]$ , put $C (λ) = {f \in C ([0, 1]); \forall A \subset [0, 1], A Borel : λ (A) = λ (f^{- 1} (A))} .$ We endow the set $C (λ)$ by the unifo…

math.DS2019★ 6 cited

Tower power for $S$ -adics

Nicolas Bédaride, Arnaud Hilion, Martin Lustig

We explain and restate the results from our recent paper arXiv:1503.08000.v3 in standard language for substitutions and $S$ -adic systems in symbolic dynamics. We then produce as ra…