Arithmetic Progressions in the Trace of Brownian Motion in Space

Itai Benjamini; Gady Kozma

doi:10.1007/978-3-030-36020-7_4

Arithmetic Progressions in the Trace of Brownian Motion in Space

Itai Benjamini, Gady Kozma

Department of Mathematics

Weizmann Institute of Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

It is shown that the trace of three dimensional Brownian motion contains arithmetic progressions of length 5 and no arithmetic progressions of length 6 a.s.

Original language	English
Title of host publication	Geometric Aspects of Functional Analysis
Subtitle of host publication	Israel Seminar (GAFA) 2017-2019 Volume I
Editors	Bo'az Klartag, Emanuel Milman
Place of Publication	Switzerland
Publisher	Springer Nature Switzerland AG
Pages	63-69
Number of pages	7
Volume	1
ISBN (Electronic)	978-3-030-36020-7
ISBN (Print)	978-3-030-36019-1
DOIs	https://doi.org/10.1007/978-3-030-36020-7_4
State	Published Online - 21 Jun 2020

Publication series

Name	Lecture Notes in Mathematics
Volume	2256
ISSN (Print)	0075-8434

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/978-3-030-36020-7_4

http://arxiv.org/abs/1810.10077License: Other

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Benjamini, I., & Kozma, G. (2020). Arithmetic Progressions in the Trace of Brownian Motion in Space. In B. Klartag, & E. Milman (Eds.), Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume I (Vol. 1, pp. 63-69). (Lecture Notes in Mathematics; Vol. 2256). Springer Nature Switzerland AG. Advance online publication. https://doi.org/10.1007/978-3-030-36020-7_4

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Arithmetic Progressions in the Trace of Brownian Motion in Space. / Benjamini, Itai ; Kozma, Gady.
Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume I. ed. / Bo'az Klartag; Emanuel Milman. Vol. 1 Switzerland: Springer Nature Switzerland AG, 2020. p. 63-69 (Lecture Notes in Mathematics; Vol. 2256).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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Arithmetic Progressions in the Trace of Brownian Motion in Space

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