Pontifical Catholic University of Valparaíso
Dinámica Porteña Institute of Mathematics, Pontifical Catholic University of Valparaíso
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Dinámica Porteña

Research group in Dynamical Systems and Differentiable Ergodic Theory, at the Institute of Mathematics of the Pontifical Catholic University of Valparaíso.

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Friday, September 4, 2026 · 11:00 am

Recycle your heterodimensional cycle: an ergodic approach

Katrin Gelfert

Katrin Gelfert — UFRJ, Brazil

We define the concept of heterodimensional cycles between hyperbolic ergodic measures of different indices. We study what impact the existence of such a cycle has on the topological properties of the space of invariant measures and present some examples. This is joint work with L. Díaz and Ch. Bonatti.

Room 2-2, Institute of Mathematics

Friday, September 4, 2026 · 12:20 pm

Lower bounds for the entropy of the non-hyperbolicity locus

Lorenzo Díaz

Lorenzo Díaz — PUC-Rio, Brazil

In the setting of partially hyperbolic dynamics admitting ergodic measures with positive, negative, and zero Lyapunov exponents, we study the set of points with some vanishing Lyapunov exponent. In particular, we present dynamically-defined lower bounds for the topological entropy of this set. Joint work with R. Ures, D. Wang and J. Yang.

Room 2-2, Institute of Mathematics

Recent events

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December 2024

2nd LESET Workshop — Lyapunov Exponents and Smooth Ergodic Theory II

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June 2023

Crossroad Between Dynamical Systems and Group Actions

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December 2018

Dynamics in Valparaíso

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The group originated from the Dinámica Porteña permanent seminar, started in 2008 at the Institute of Mathematics of the Pontifical Catholic University of Valparaíso and consolidated over nearly twenty years as a stable space for scientific collaboration. Its main interests are research collaboration, training researchers, and scientific outreach to society.

253
talks since 2008
165
different speakers
23
countries of origin