Exit Time Moments and Eigenvalue Estimates
Spectral Theory
2017-06-07 v2
Abstract
We study estimates involving the principal Dirichlet eigenvalue associated to a smoothly bounded domain in a complete Riemannian manifold and L1-norms of exit time moments of Brownian motion. Our results generalize a classical inequality of Polya.
Keywords
Cite
@article{arxiv.1608.08722,
title = {Exit Time Moments and Eigenvalue Estimates},
author = {Emily B. Dryden and Jeffrey J. Langford and Patrick McDonald},
journal= {arXiv preprint arXiv:1608.08722},
year = {2017}
}
Comments
15 pages, added appendix on variational quotients, added lower bounds, improved exposition