A note on the spectral gap for general harmonic measures on spheres

Yutao Ma and Xinyu Wang

Statistics & Probability Letters, 2018, vol. 141, issue C, 56-61

Abstract: In this paper, we consider general harmonic measures μxn,β on the unit sphere Sn−1 in Rn, where x∈Rn with 0≤|x|<1,β∈R and n≥3. Following the idea in Barthe et al. (2014) , we obtain the lower bound for the spectral gap of μxn,β. For the harmonic measure (β=0), we improve the lower bound of the spectral gap in Barthe et al. (2014) and we also improve those in Milman (2015) for general β∈R.

Keywords: Generalized harmonic measure; Spectral gap (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spl.2018.05.022

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