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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the dimension of limit sets on the real projective plane via stationary measures
实射影平面 极限集 维数 平稳测度
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2023/11/29
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the dimension of limit sets on the real projective plane via stationary measures
实射 影平面 极限集 维数 平稳测度
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2023/11/15
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...
Groups of automorphisms of trees and their limit sets
Groups automorphisms trees limit sets
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2015/8/26
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...
The omega-limit sets of quadratic Julia sets
omega-limit sets of quadratic Julia sets Dynamical Systems
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2012/5/9
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...
Limits of limit sets I
Limits of limit sets Metric Geometry Geometric Topology
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2011/8/25
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...
Construction of $\mu$-Limit Sets
Construction $\mu$-Limit Sets
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2010/12/28
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 ...
Universal regular autonomous asynchronous systems: omega-limit sets, invariance and basins of attraction
asynchronous system limit set invariance basin of attraction
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2011/3/4
The asynchronous systems are the non-deterministic real time-binary models of the asynchronous circuits from electrical engi-neering.
Limit Sets of Convex non Elastic Billiards
Limit Sets Convex non Elastic Billiards
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2010/12/9
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...
Limit sets of relatively hyperbolic groups
dynamical quasiconvexity relative hyperbolicity limit sets
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2010/12/1
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...