Displaying similar documents to “Stable ergodicity and julienne quasi-conformality”

Hyperbolic homeomorphisms and bishadowing

P. E. Kloeden, J. Ombach (1997)

Annales Polonici Mathematici

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Hyperbolic homeomorphisms on compact manifolds are shown to have both inverse shadowing and bishadowing properties with respect to a class of δ-methods which are represented by continuous mappings from the manifold into the space of bi-infinite sequences in the manifold with the product topology. Topologically stable homeomorphisms and expanding mappings are also considered.

Normal points for generic hyperbolic maps

Mark Pollicott (2009)

Fundamenta Mathematicae

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We consider families of hyperbolic maps and describe conditions for a fixed reference point to have its orbit evenly distributed for maps corresponding to generic parameter values.

Combinatorial Modulus on Boundary of Right-Angled Hyperbolic Buildings

Antoine Clais (2016)

Analysis and Geometry in Metric Spaces

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In this article, we discuss the quasiconformal structure of boundaries of right-angled hyperbolic buildings using combinatorial tools. In particular, we exhibit some examples of buildings of dimension 3 and 4 whose boundaries satisfy the combinatorial Loewner property. This property is a weak version of the Loewner property. This is motivated by the fact that the quasiconformal structure of the boundary led to many results of rigidity in hyperbolic spaces since G.D.Mostow. In the case...