Noticias en español
Multiple correlations and nilsequences
ABSTRACT Multiple correlation sequences first appeared implicitly in Furstenberg’s proof of Szemeredi’s theorem. Bergelson, Host and Kra later proved they can be decomposed into the sum of a nilsequence and a sequence tending to zero in density. Motivated by this, Frantzikinakis asks whether we have a similar decomposition along the sequence of primes p_n, or Hardy sequence [n^c], or 2^n. In this talk, I’ll answer this question affirmatively. Even though the positive answers to the prime and Hardy sequences are expected, the positive answer to 2^n is somewhat surprising and...
Read MoreSeminarios Sistemas Dinámicos de Santiago y Seminario Kawin
TIME (Mon 27th May) 4:30 pm – 5:30 pm LOCATION Sala 1, PUC, Facultad de Matemáticas, Av. Vicuña Mackenna 4860, Macul, La Florida SPEAKER Ryo Moore (PUC) TITLE Properties of Birkhoff spectra for the generic continuous functions on a shift space ABSTRACT (Attached please find the abstract of the talk) TIME (Mon 27th May) 3:30 pm – 4:20 pm LOCATION Sala 1, PUC, Facultad de Matemáticas, Av. Vicuña Mackenna 4860, Macul, La Florida SPEAKER Sebastián Donoso (UOH – UCH) TITLE Expansiveness and dimension of minimal sets ABSTRACT A remarkable theorem by Mañé...
Read MoreAssouad dimension of planar self-affine sets
ABSTRACT: We consider planar self-affine sets X satisfying the strong separation condition and the projection condition. We show that any two points of X, which are generic with respect to a self-affine measure having simple Lyapunov spectrum, share the same collection of tangent sets. We also calculate the Assouad dimension of X. Finally, we prove that if X is dominated, then it is minimal for the conformal Assouad dimension. The talk is based on joint work with Balázs Bárány and Eino Rossi.
Read MoreAlgebraic invariant of minimal group actions on the Cantor set: topological full group and group of automorphism
Read MoreSEMINAR DYNAMICAL SYSTEMS THE SANTIAGO & SEMINAR KAWIN
Seminario Kawin TIME (Mon 22th Apr) 3:30 pm – 4:20 pm LOCATION USACH, Sala de seminarios del 4to piso del Departamento de Matemáticas y Ciencia de la computación ( Las Sophoras nº 173, Santiago, Estación Central). SPEAKER Cristobal Rivas (USACH) TITLE Sobre el grupo de Higman ABSTRACT Les contaré sobre el grupo de Higman. Porqué no tiene cocientes finitos y porqué no admite representaciones lineales. Si aún hay tiempo, diré algunas palabras sobre sus representaciones en grupos de difeomorfismos y homeomorfismos. Seminario Sistemas Dinámicos de Santiago. TIME ...
Read MoreCounting problem on infinite periodic billiards and translation surfaces
ABSTRACT The Gauss circle problem consists in counting the number of integer points of bounded length in the plane. This problem is equivalent to counting the number of closed geodesics of bounded length on a flat two dimensional torus or, periodic trajectories, in a square billiard table. Many counting problems in dynamical systems have been inspired by this problem. For 30 years, the experts try to understand the asymptotic behavior of closed geodesics in translation surfaces and periodic trajectories on rational billiards. (Polygonal billiards yield translation surfaces naturally through...
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