12 citations · 15 across the 15 of their papers we have counts for
16 papers
Small-time heat decay for stable processes on fractal drums
Hyunchul Park, Yimin Xiao
In this paper, we study the spectral heat content for isotropic stable processes on fractal drums (namely, open sets with fractal boundaries). The spectral heat content for subordi…
Dichotomy in the small-time asymptotics of spectral heat content for Lévy processes
Jaehun Lee, Hyunchul Park
We establish a dichotomy in the small-time asymptotic behavior of the spectral heat content (SHC) for symmetric, but not necessarily isotropic, Lévy processes whose Lévy density sa…
On the principal eigenvalue for compound Poisson processes
Daesung Kim, Hyunchul Park
We investigate the explicit expression for the principal eigenvalue for a large class of compound Poisson processes on a bounded open set by examining its sp…
Heat content for Gaussian processes: small-time asymptotic analysis
Kei Kobayashi, Hyunchul Park
This paper establishes the small-time asymptotic behaviors of the regular heat content and spectral heat content for general Gaussian processes in both one-dimensional and multi-di…
A unified approach to the small-time behavior of the spectral heat content for isotropic Lévy processes
Kei Kobayashi, Hyunchul Park
This paper establishes the precise small-time asymptotic behavior of the spectral heat content for isotropic Lévy processes on bounded open sets of with…
Large-time and small-time behaviors of the spectral heat content for time-changed stable processes
Kei Kobayashi, Hyunchul Park
We study the large-time and small-time asymptotic behaviors of the spectral heat content for time-changed stable processes, where the time change belongs to a large class of invers…