Mean first passage times of processes driven by white shot noise

F. Laio, Amilcare Michele M. Porporato, L. Ridolfi, I. Rodriguez-Iturbe

Research output: Contribution to journalArticle

52 Scopus citations

Abstract

We consider mean first passage times in systems driven by white shot noise with exponentially distributed jump heights. Simple interpretable results are obtained and the linkage between those results and the steady-state probability density function of the process is presented. The virtual waiting-time or Takács process (constant losses) and the shot noise process with linear losses are analyzed in depth, along with a more complex process with useful implications for the modeling of the soil moisture dynamics in hydrology.

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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