Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7547914 | Statistics & Probability Letters | 2018 | 6 Pages |
Abstract
In this paper, we consider general harmonic measures μxn,β on the unit sphere Snâ1 in Rn, where xâRn with 0â¤|x|<1,βâR and nâ¥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 βâR.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Yutao Ma, Xinyu Wang,