Supremum penalizations for Lévy processes

Fuente: arXiv
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Autor principal: Takeda, Shosei
Formato: Preprint
Publicado: 2025
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author Takeda, Shosei
author_facet Takeda, Shosei
contents Several long-time limit theorems of one-dimensional Lévy processes weighted and normalized by functions of its supremum are studied. The long-time limits are taken via the families of exponential times and that of constant times, called exponential clock and constant clock, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12564
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Supremum penalizations for Lévy processes
Takeda, Shosei
Probability
60F05 (Primary) 60G51, 60J25 (Secondary)
Several long-time limit theorems of one-dimensional Lévy processes weighted and normalized by functions of its supremum are studied. The long-time limits are taken via the families of exponential times and that of constant times, called exponential clock and constant clock, respectively.
title Supremum penalizations for Lévy processes
topic Probability
60F05 (Primary) 60G51, 60J25 (Secondary)
url https://arxiv.org/abs/2503.12564