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I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Let T be a locally finite simplicial tree and let ! ⊂ Aut(T ) be a finitely generated discrete subgroup. We obtain an explicit formula for the critical exponent of the Poincare series associated...
In this paper we characterize $\w$-limit sets of dendritic Julia sets for quadratic maps. We use Baldwin's symbolic representation of these spaces as a non-Hausdorff itinerary space and prove that qua...
Abstract: We show that for a strongly convergent sequence of geometrically finite Kleinian groups with geometrically finite limit, the Cannon-Thurston maps of limit sets converge uniformly. If however...
The μ-limit set of a cellular automaton is a subshift whose forbidden patterns are exactly those, whose probabilities tend to zero as time tends to in-finity. In this article, for a given subshift in ...
The asynchronous systems are the non-deterministic real time-binary models of the asynchronous circuits from electrical engi-neering.
Inspired by the work of Pujals and Sambarino on dominated splitting, we present billiards with a modi ed re ection law which constitute simple examples of dynamical systems with limit sets with domina...
In this paper, we prove a limit set intersection theorem in rela-tively hyperbolic groups. We also show that a nonparabolic relatively quasicon-vex subgroup cannot contain a proper conjugate of itself...

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