83 citations · 319 across the 28 of their papers we have counts for
8 papers · 1 filter
Mating, paper folding, and an endomorphism of PC^2
Volodymyr Nekrashevych
We are studying topological properties of the Julia set of the map of the complex projective plane to itself. We show a relation…
Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds
Volodymyr Nekrashevych
We show that if (X, f) is a locally connected Smale space such that the local product structure on X can be lifted by a covering with virtually nilpotent group of deck transformati…
Hyperbolic groupoids: metric and measure
Volodymyr Nekrashevych
We construct Patterson-Sullivan measure and a natural metric on the unit space of a hyperbolic groupoid. In particular, this gives a new approach to defining SRB measures on Smale…
Hyperbolic groupoids and duality
Volodymyr Nekrashevych
We define hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundari…
The Julia set of a post-critically finite endomorphism of PC^2
Volodymyr Nekrashevych
We construct a combinatorial model of the Julia set of the endomorphism of .
Combinatorial models of expanding dynamical systems
Volodymyr Nekrashevych
We define iterated monodromy groups of more general structures than partial self-covering. This generalization makes it possible to define a natural notion of a combinatorial model…