Arithmetic Progressions in the Trace of Brownian Motion in Space

DOI10.1007/978-3-030-36020-7_4zbMath1453.60138arXiv1810.10077OpenAlexW2897911688MaRDI QIDQ5115949

Gady Kozma, Itai Benjamini

Publication date: 21 August 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Abstract: It is shown that the trace of $3$ dimensional Brownian motion contains arithmetic progressions of length $5$ and no arithmetic progressions of length $6$ a.s.

Full work available at URL: https://arxiv.org/abs/1810.10077

zbMATH Keywords

Brownian motionarithmetic progressions

Mathematics Subject Classification ID

Brownian motion (60J65) Arithmetic progressions (11B25)

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