Arithmetic progressions in the trace of Brownian motion in space
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- arXiv:
- arXiv:1810.10077
- Bibcode:
- 2018arXiv181010077B
- Keywords:
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- Mathematics - Probability