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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2008 · math.DSShow all

5 papers · 2 filters

math.DS2008★ 4 cited

Does a billiard orbit determine its (polygonal) table?

Jozef Bobok, Serge Troubetzkoy

We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit wh…

math.DS2008

Dichotomy for the Hausdorff dimension of the set of nonergodic directions

Yitwah Cheung, Pascal Hubert, Howard Masur

We consider billiards in a (1/2)-by-1 rectangle with a barrier midway along a vertical side. Let NE be the set of directions theta such that the flow in direction theta is not ergo…

math.DS2008★ 33 cited

Constant-length substitutions and countable scrambled sets

François Blanchard, Fabien Durand, Alejandro Maass

In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of Li-Yorke…

math.DS2008

Infinite sequence of fixed point free pseudo-Anosov homeomorphisms

Jérôme Los

We construct infinite sequences of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surf…

math.DS2008

Finite type coarse expanding conformal dynamics

Peter Haïssinsky, Kevin M. Pilgrim

We continue the study of non-invertible topological dynamical systems with expanding behavior. We introduce the class of {\em finite type} systems which are characterized by the co…