Neumann Heat kernel monotonicity
Probability
2014-10-01 v1
Abstract
We prove that the diagonal of the transition probabilities for the d-dimensional Bessel processes on (0, 1], reflected at 1, which we denote by , is an increasing function of r for d>2 and that this is false for d=2.
Cite
@article{arxiv.0707.4299,
title = {Neumann Heat kernel monotonicity},
author = {R. Bañuelos and T. Kulczycki and B. Siudeja},
journal= {arXiv preprint arXiv:0707.4299},
year = {2014}
}