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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Showing 2016 · math.DSShow all

9 papers · 2 filters

math.DS2016★ 5 cited

The Ergodic Decomposition of Infinite Pickrell Measures III. The infinite Bessel process as the limit of radial parts of finite-dimensional projections of infinite Pickrell measures

Alexander I. Bufetov

The third part of the paper concludes the proof of the main result --- the description of the ergodic decomposition of infinite Pickrell measures. First it is shown that the scalin…

math.DS2016★ 10 cited

Infinite Determinantal Measures and The Ergodic Decomposition of Infinite Pickrell Measures II. Convergence of determinantal measures

Alexander I. Bufetov

The second part of the paper mainly deals with convergence of infinite determinantal measures, understood as the convergence of the approximating finite determinantal measures. In…

math.DS2016

Topological dynamics of piecewise λ-affine maps

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

Let $- 1 < λ < 1$ and $f : [0, 1) \to R$ be a piecewise $λ$ -affine map, that is, there exist points $0 = c_{0} < c_{1} < \dots < c_{n - 1} < c_{n} = 1$ and real numbers $b_{1}, \dots, b_{n}$ such that $f(…

math.DS2016★ 5 cited

Weak-mixing polygonal billiards

Alba Málaga Sabogal, Serge Troubetzkoy

We consider the set of polygons all of whose sides are vertical or horizontal with fixed combinatorics (for example all the figure "L"s). We show that there is a dense G $δ$ subset…

math.DS2016★ 5 cited

Counting problem on wind-tree models

Angel Pardo

We study periodic wind-tree models, billiards in the plane endowed with $Z^{2}$ -periodically located identical connected symmetric right-angled obstacles. We show asymptotic…

math.DS2016★ 1 cited

Topological substitutions and Rauzy fractals

Nicolas Bédaride, Arnaud Hilion, Timo Jolivet

We consider two families of planar self-similar tilings of different nature: the tilings consisting of translated copies of the fractal sets defined by an iterated function system,…