Author

P. Kosenko

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Preprint Oct 2026

Point Configurations in Brownian Traces

We study finite and countable point configurations in the trace of Brownian motion in $\mathbb{R}^d$, $d\geq2$. In the plane, the set of translations placing a prescribed finite configuration on the trace has Hausdorff dimension two in every nonempty open set; we prove analogous dimension-preservation results for radia...

P. Kosenko, J. M. Medina, A. Yavicoli · 0 citations