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Exponential growth of norms in semigroups of linear automorphisms and Hausdorff dimension of self-projective IFS
Exponential growth of norms semigroups of linear automorphisms Hausdorff dimension self-projective IFS Dynamical Systems
2012/4/17
Given a finitely generated semigroup S of the (normed) set of linear maps of a vector space V into itself, we find sufficient conditions for the exponential growth of the number N(k) of elements of th...
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
Dynamical Systems
2012/4/17
In this paper, we compute universal minimal flows of groups of automorphisms of uncountable $\omega$-homogeneous graphs, $K_n$-free graphs, hypergraphs, partially ordered sets, and their extensions wi...
Positive automorphisms for self-induced interval exchange transformations
Positive automorphisms self-induced interval exchange transformations Dynamical Systems
2011/9/5
Abstract: We give an algorithm to determine if the dynamical system generated by a positive automorphism of the free group can also be generated by a self-induced interval exchange transformation. The...
Dynamics of automorphisms on compact Kähler manifolds
holomorphic automorphism Green current laminar current Green measure
2010/12/14
We study holomorphic automorphisms on compact K¨ahler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green currents admit complex ...