Series representation approach to stochastic processes with complete and incomplete renewal resetting

We introduce a series representation for stochastic processes in which resetting is driven by a renewal process. Both memory-erasing (‘complete’) resetting and simple position shifting (‘incomplete resetting’) are considered. Our approach allows us to calculate the previously unknown joint two-time...

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Bibliographic Details
Main Authors: Kacper Taźbierski, Ralf Metzler, Marcin Magdziarz
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/adee40
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