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学术科研

Probability & Statistics Seminar

INVARIANCE OF ENTROPY FOR MAPS ISOTOPIC TO ANOSOV

演讲者：Carlos H. Vásquez (Instituto de Matemáticas Pontificia Universidad Católica de Valparaíso)
时间：2019-03-04 11:00-12:00
地点：慧园3栋 415报告厅

Abstract: We prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of $\mathbb{T}^d$ with simple central bundle (that is, when it decomposes into one dimensional sub-bundles with ''controlled geometry '') and such that their linear part is hyperbolic.

In absence of the simplicity condition it is possible to construct a robustly transitive counter-example, evidencing the necessity of our assumptions.

Work in progress joint to Pablo Carrasco (UFMG-Brazil), Cristina Lizana (UFBA -Brazil) and E. Pujals (CUNY, USA).