• Corpus ID: 248834470

Large-time and small-time behaviors of the spectral heat content for time-changed stable processes

@inproceedings{Kobayashi2022LargetimeAS,
  title={Large-time and small-time behaviors of the spectral heat content for time-changed stable processes},
  author={Kei Kobayashi and Hyunchul Park},
  year={2022}
}
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 inverse subordinators. For the large-time behavior, the spectral heat content decays polynomially with the decay rate determined by the Laplace exponent of the underlying subordinator, which is in sharp contrast to the exponential decay observed in the case when the time change is a subordinator. On the other hand, the… 

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