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On the one--dimensional spectral Heat content for stable processes

Probability 2016-03-25 v2 Spectral Theory

Abstract

This paper provides the second term in the small time asymptotic expansion of the spectral heat content of a rotationally invariant α\alpha--stable process, 0<α20<\alpha \leq 2, for the interval (a,b)(a,b). The small time behavior of the spectral heat content turns out to be linked to the distribution of the supremum and infimum processes.

Keywords

Cite

@article{arxiv.1510.06697,
  title  = {On the one--dimensional spectral Heat content for stable processes},
  author = {Luis Acuna Valverde},
  journal= {arXiv preprint arXiv:1510.06697},
  year   = {2016}
}
R2 v1 2026-06-22T11:26:49.755Z