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Arithmetic progressions in the trace of Brownian motion in space

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arxiv 1810.10077 v3 pith:DJPJ5QDA submitted 2018-10-23 math.PR

Itai Benjamini , Gady Kozma This is my paper · ORCID
classification math.PR
keywords arithmeticprogressionsbrownianlengthmotiontracecontainsdimensional
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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.

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