2026-04-14T02:45:29Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1273332025-12-04T20:45:06Zcom_2072_1057col_2072_478822col_2072_478917

00925njm 22002777a 4500 dc Masoliver, Jaume, 1951- author 2019-01-16T11:36:50Z 2019-01-16T11:36:50Z 2019-01-14 2019-01-16T11:36:50Z We investigate the effects of resetting mechanisms on random processes that follow the telegrapher's equation instead of the usual diffusion equation. We thus study the consequences of a finite speed of signal propagation, the landmark of telegraphic processes. Likewise diffusion processes where signal propagation is instantaneous, we show that in telegraphic processes, where signal propagation is not instantaneous, random resettings also stabilize the random walk around the resetting position and optimize the mean first-arrival time. We also obtain the exact evolution equations for the probability density of the combined process and study the limiting cases. Física estadística Equacions diferencials lineals Statistical physics Linear differential equations Telegraphic processes with stochastic resettings