Toral endomorphisms and equidistribution
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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Toral endomorphisms and equidistribution
I will discuss a version of Host's equidistribution theorem on multidimensional tori, giving an essentially optimal result that removed some unnecessary restrictions that appeared in Host's work on the subject. In the commuting case this gives a new proof and an extension of the measure classification theorem of Einsiedler and Lindenstrauss. We also obtain equidistribution results for points drawn from various fractal-type measures on the torus.
Toral endomorphisms and equidistribution
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