Publication : t19/001

Large Deviations for dynamical fluctuations of Open Markov processes, with application to random cascades on trees

Monthus C. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
The large deviations at 'Level 2.5 in time' for time-dependent ensemble-empirical-observables, introduced by C. Maes, K. Netocny and B. Wynants [Markov Proc. Rel. Fields. 14, 445 (2008)] for the case of N independent Markov jump processes, are extended to the case of open Markov processes with reservoirs : explicit formulas are given for the joint probability of empirical occupation numbers and empirical flows, both for discrete-time dynamics and for continuous-time jump dynamics, with possibly time-dependent dynamical rules and/or time-dependent driving of the reservoirs. This general formalism is then applied to random cascades on trees, where particles are injected at the root via a 'source reservoir', while the particles are removed at the leaves of the last generation of the tree via 'sink reservoirs'.
Année de publication : 2019
Revue : J. Phys. A 52 025001 (2019)
DOI : 10.1088/1751-8121/aaf141
Preprint : arXiv:1808.09703
Lien :
Langue : Anglais


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