Statistical Analysis of the First Passage Path Ensemble of Jump Processes
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DOI: 10.1007/s10955-017-1949-x
Abstract: The transition mechanism of jump processes between two different subsets in state space reveals important dynamical information of the processes and therefore has attracted considerable attention in the past years. In this paper, we study… read more here.
Keywords: passage path; jump processes; first passage; jump ... See more keywords
Periodically driven jump processes conditioned on large deviations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab74c4
Abstract: We study the fluctuations of systems modeled by Markov jump processes with periodic generators. We focus on observables defined through time-periodic functions of the system's states or transitions. Using large deviation theory, canonical biasing and… read more here.
Keywords: processes conditioned; driven jump; jump; periodically driven ... See more keywords
One- and two-boundary problems for jump processes that slowly converge to Gaussian behavior.
Sign Up to like & getrecommendations! Published in 2025 at "Physical review. E"
DOI: 10.1103/fcs7-7g55
Abstract: We consider jump processes with finite variance which, from the point of view of experimental studies, apparently do not converge to the expected Gaussian behavior. A mathematically tractable example of such processes are those with… read more here.
Keywords: length; gaussian behavior; variance; jump ... See more keywords