output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2018 · math.DSShow all

10 papers · 2 filters

math.DS2018★ 4 cited

Canonical projection tilings defined by patterns

Nicolas Bédaride, Thomas Fernique

We give a necessary and sufficient condition on a -dimensional affine subspace of to be characterized by a finite set of patterns which are forbidden to appear in…

math.DS2018

Rigidity of Newton dynamics

Kostiantyn Drach, Dierk Schleicher

We study rigidity of rational maps that come from Newton's root finding method for polynomials of arbitrary degrees. We establish dynamical rigidity of these maps: each point in th…

math.DS2018★ 2 cited

Homotopy Hubbard Trees for post-singularly finite exponential maps

David Pfrang, Michael Rothgang, Dierk Schleicher

We extend the concept of a Hubbard tree, well established and useful in the theory of polynomial dynamics, to the dynamics of transcendental entire functions. We show that Hubbard…

math.DS2018★ 4 cited

Invariant measures for typical continuous maps on manifolds

Eleonora Catsigeras, Serge Troubetzkoy

We study the invariant measures of typical maps on compact connected manifolds with or without boundary, and also of typical homeomorphisms. We prove that the weak closur…

math.DS2018★ 1 cited

Normal distribution of correlation measures of binary sum-of-digits functions

Jordan Emme, Pascal Hubert

In this paper we study correlation measures introduced in \cite{emme_asymptotic_2017}. Denote by the asymptotic density of the set $\mathcal{E}_{a,d}=\{n \in \mathbb{N}, \…

math.DS2018★ 3 cited

The generic limit set of cellular automata

Saliha Djenaoui, Pierre Guillon

In this article, we consider a topological dynamical system. The generic limit set is the smallest closed subset which has a comeager realm of attraction. We study some of its topo…