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math.PR2023
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…
math.PR2023
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…