On the spectral gap of Boltzmann measures on the unit sphere

Biao Li, Yutao Ma and Zhengliang Zhang

Statistics & Probability Letters, 2021, vol. 169, issue C

Abstract: In this paper, we give a two sided estimate on the spectral gap for the Boltzmann measures μn,h with h∈R and n≥3 by reducing multi-dimensional case to one dimensional diffusion. Moreover, the result for the one dimensional diffusion is sharp.

Keywords: Boltzmann measure; Poincaré inequality; Spectral gap (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2020.108963

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