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arXiv · 2608.17437

Spectral gap for unlabelled Ginibre Interacting Brownian motion

Kohei Suzuki
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Abstract

We determine the exact spectral gaps for both the finite-particle and infinite-particle unlabelled Ginibre interacting Brownian motions. In every finite-particle system, the spectral gap is equal to one, whereas for the infinite-particle system it is equal to two. The infinite-particle dynamics therefore has a strictly larger spectral gap than any of its finite-particle counterparts, revealing an enhancement of spectral gaps in the passage from finite to infinite particle systems.

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Kohei Suzuki. 2026-08-18. Spectral gap for unlabelled Ginibre Interacting Brownian motion. https://arxiv.org/abs/2608.17437

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