2026-04-13T07:32:32Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1273332025-12-04T20:45:06Zcom_2072_1057col_2072_478822col_2072_478917
RECERCAT
author
Masoliver, Jaume, 1951-
2019-01-16T11:36:50Z2019-01-16T11:36:50Z2019-01-142019-01-16T11:36:50Z
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.
(c) American Physical Society, 2019 info:eu-repo/semantics/openAccess
Física estadística
Equacions diferencials lineals
Statistical physics
Linear differential equations
Telegraphic processes with stochastic resettings
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion