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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Absolute continuity of the invariant measure in piecewise deterministic Markov Processes having degenerate jumps

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Author(s):
Locherbach, E.
Total Authors: 1
Document type: Journal article
Source: Stochastic Processes and their Applications; v. 128, n. 6, p. 1797-1829, JUN 2018.
Web of Science Citations: 0
Abstract

We consider piecewise deterministic Markov processes with degenerate transition kernels of the house-of-cards- type. We use a splitting scheme based on jump times to prove the absolute continuity, as well as some regularity, of the invariant measure of the process. Finally, we obtain finer results on the regularity of the one-dimensional marginals of the invariant measure, using integration by parts with respect to the jump times. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat
Grantee:Oswaldo Baffa Filho
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC