Title	Families of well-approximable measures
Creator	Fairchild, Samantha
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-09-30T08:27
Description	It is conjectured that the optimal order of approximation of the Lebesgue measure by a finite atomic measure is $N^{-1} (\log N)^{d-1}$. This result is known for dimensions 1 and 2. We will share recent work of Fairchild, Goering, Weiss which in dimension 1 confirms Lebesgue measure is indeed the hardest to approximate. Moreover we improve on recent work by Aistleitner, Bilyk, and Nikolov by constructing a family of discrete measures with star discrepancy bounded above by $N^{-1} (\log(N))$.
Extent	25.0 minutes
Subject	Mathematics; Convex and discrete geometry; Dynamical systems and ergodic theory; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Washington
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-03-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0396414
URI	http://hdl.handle.net/2429/77661
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos