Operator-stable-like Processes

Fuente: arXiv
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Main Authors: Scheffler, Peter, Schnurr, Alexander, Schulte, Daniel
Format: Preprint
Published: 2020
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_version_ 1866910300023816192
author Scheffler, Peter
Schnurr, Alexander
Schulte, Daniel
author_facet Scheffler, Peter
Schnurr, Alexander
Schulte, Daniel
contents In the present paper, we introduce so-called operator-stable-like processes. Roughly speaking, they behave locally like operator-stable processes, but they need not to be homogenous in space. Having shown existence for this class of processes, we analyze maximal estimates, the existence of moments, the short- and long-time behavior of the sample paths and $p$-variation. The class introduced here includes stable-like processes as special case.
format Preprint
id arxiv_https___arxiv_org_abs_2011_00783
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Operator-stable-like Processes
Scheffler, Peter
Schnurr, Alexander
Schulte, Daniel
Probability
60J75, 60H10, 60J35, 60J25, 47G30
In the present paper, we introduce so-called operator-stable-like processes. Roughly speaking, they behave locally like operator-stable processes, but they need not to be homogenous in space. Having shown existence for this class of processes, we analyze maximal estimates, the existence of moments, the short- and long-time behavior of the sample paths and $p$-variation. The class introduced here includes stable-like processes as special case.
title Operator-stable-like Processes
topic Probability
60J75, 60H10, 60J35, 60J25, 47G30
url https://arxiv.org/abs/2011.00783