Women in Dynamical Systems & Ergodic Theory
timetable:
Thu 23 May, 10:00 - 10:30, Aula Dini
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Bad is null via constant invariance (CONTRIBUTED TALK)
speaker: Shreyasi Datta (Uppsala University)abstract: The set of badly approximable vectors in Diophantine approximation plays a significant role. In a recent work with Victor Beresnevich, Anish Ghosh, and Ben Ward, we developed a general framework to show a `constant invariance' property for a large class of limsup sets of neighbourhoods of subsets of a metric measure space. As a consequence, we get that the set of badly points has measure zero in a metric space equipped with certain natural measures. In particular, given any C2 manifold, we show almost every point is not badly approximable.
timetable:
Thu 23 May, 10:00 - 10:30, Aula Dini
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