The Kakeya needle problem for rectifiable sets

Introductory Workshop: Harmonic Analysis January 23, 2017 - January 27, 2017

January 26, 2017 (03:30 PM PST - 04:30 PM PST)

Speaker(s): Marianna Csornyei (University of Chicago)
Location: SLMath: Eisenbud Auditorium

Tags/Keywords

kakeya needle problem
Besicovitch set
Nikodym set
rectifiable sets
harmonic analysis

Primary Mathematics Subject Classification

44-00 - General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to integral transforms
39A33 - Chaotic behavior of solutions of difference equations
26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27}
00B20 - Proceedings of conferences of general interest
00A66 - Mathematics and visual arts

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

The Kakeya Needle Problem For Rectifiable Sets

Abstract

We show that the classical results about rotating a line segment in arbitrarily small area, and the existence of a Besicovitch and a Nikodym set hold if we replace the line segment by an arbitrary rectifiable set. This is a joint work with Alan Chang

Supplements

	Csorneyei Notes 1.11 MB application/pdf	Download

Video/Audio Files

The Kakeya Needle Problem For Rectifiable Sets

H.264 Video	14-Csornyei.mp4 1.44 GB video/mp4 rtsp://videos.msri.org/The Kakeya Needle Problem For Rectifiable Sets/14-Csornyei.mp4	Download

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