Quantitative weak mixing for random substitution tilings

Speaker: Rodrigo Treviño

Date: Thu, Jul 2, 2020

Location: Zoom

Conference: Pacific Dynamics Seminar, West Coast Dynamics Seminar

Subject: Mathematics

Class: Scientific


"Quantitative weak mixing" is the term used to bound the dimensions of spectral measures of a measure-preserving system. This type of study has gained popularity over the last decade, led by a series of results of Bufetov and Solomyak for a large class of flows which include general one-dimensional tiling spaces as well as translation flows on flat surfaces, as well as results on quantitative weak mixing by Forni. In this talk I will present results which extend the results for flows to higher rank parabolic actions, focusing on quantitative results for a broad class of tilings in any dimension. The talk won't assume familiarity with almost anything, so I will define all objects in consideration.

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