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arXiv · 2603.22997

Cutoff in separation profile for the flat torus, sphere, and projective spaces

Koléhè Coulibaly-Pasquier
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Abstract

In this paper we show that the cutoff in separation profile for Brownian motion on flat torus T n\,; on spheres S n\,; on real, complex and quaternionic projective space resp. P n pRq, P n pCq and P n pHq, is the tail distribution of some explicit Gumbel distribution. The proof is based on intertwining, dual process together with a representation formula of large moments of the covering time of the dual process.

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Koléhè Coulibaly-Pasquier. 2026-03-24. Cutoff in separation profile for the flat torus, sphere, and projective spaces. https://arxiv.org/abs/2603.22997

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