Publications [#284200] of Amilcare Porporato

Papers Published

1. Daly, E; Porporato, A, Intertime jump statistics of state-dependent Poisson processes., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 75 no. 1 Pt 1 (January, 2007), pp. 011119, ISSN 1539-3755 [PhysRevE.75.011119], [doi]
   (last updated on 2023/08/08)

   Abstract:
   A method to obtain the probability distribution of the interarrival times of jump occurrences in systems driven by state-dependent Poisson noise is proposed. Such a method uses the survivor function obtained by a modified version of the master equation associated to the stochastic process under analysis. A model for the timing of human activities shows the capability of state-dependent Poisson noise to generate power-law distributions. The application of the method to a model for neuron dynamics and to a hydrological model accounting for land-atmosphere interaction elucidates the origin of characteristic recurrence intervals and possible persistence in state-dependent Poisson models.

   Keywords:
   master equation;neurophysiology;noise;physiological models;probability;statistics;stochastic processes;