Spectral heat content for time-changed killed Brownian motions
Probability
2021-10-26 v2
Abstract
The spectral heat content is investigated for time-changed killed Brownian motions on C1,1 open sets, where the time change is given by either a subordinator or an inverse subordinator, with the underlying Laplace exponent being regularly varying at \infty with index \beta \in (0, 1). In the case of inverse subordinators, the asymptotic limit of the spectral heat content is shown to involve a probabilistic term depending only on \beta \in (0, 1). In contrast, in the case of subordinators, this universality holds only when \beta \in ( 1/2 , 1).
Keywords
Cite
@article{arxiv.2007.05776,
title = {Spectral heat content for time-changed killed Brownian motions},
author = {Kei Kobayashi and Hyunchul Park},
journal= {arXiv preprint arXiv:2007.05776},
year = {2021}
}