2026-04-13T02:37:30Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1959252025-12-04T20:47:25Zcom_2072_1057col_2072_478822col_2072_478917
RECERCAT
author
Masoliver, Jaume, 1951-
author
Palassini, Matteo
2023-03-24T11:47:51Z2023-03-24T11:47:51Z2023-02-102023-03-24T11:47:51Z
We address the counting of level crossings for inertial stochastic processes. We review Rice's approach to the problem and generalize the classical Rice formula to include all Gaussian processes in their most general form. We apply the results to some second-order (i.e., inertial) processes of physical interest, such as Brownian motion, random acceleration and noisy harmonic oscillators. For all models we obtain the exact crossing intensities and discuss their long- and short-time dependence. We illustrate these results with numerical simulations.
(c) American Physical Society, 2023 info:eu-repo/semantics/openAccess
Processos estocàstics
Processos de moviment brownià
Stochastic processes
Brownian motion processes
Counting of level crossings for inertial random processes: Generalization of the Rice formula
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion