Results 61 to 70 of about 45,963 (130)

Fractional models of seismoacoustic and electromagnetic activity

E3S Web of Conferences, 2017
Statistical models of the seismoacoustic and electromagnetic activity caused by deformation disturbances are considered on the basis of compound Poisson process and its fractional generalizations. Wave representations of these processes are used too.
Shevtsov Boris, Sheremetyeva Olga
doaj   +1 more source

Donsker type theorem for fractional Poisson process

Statistics & Probability Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Araya, Héctor, Bahamonde, Natalia, Torres, Soledad, Viens, Frederi   +3 more
openaire   +3 more sources

Fractional Klein-Gordon equations and related stochastic processes

, 2014
This paper presents finite-velocity random motions driven by fractional Klein-Gordon equations of order $\alpha \in (0,1]$. A key tool in the analysis is played by the McBride's theory which converts fractional hyper-Bessel operators into Erdelyi-Kober ...
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
core   +1 more source

Some Time-changed fractional Poisson processes

, 2017
25 pages, 07 ...
Maheshwari, A., Vellaisamy, P.
openaire   +2 more sources

Fractional compound Poisson processes with multiple internal states [PDF]

Mathematical Modelling of Natural Phenomena, 2018
For the particles undergoing the anomalous diffusion with different waiting time distributions for different internal states, we derive the Fokker-Planck and Feymann-Kac equations, respectively, describing positions of the particles and functional distributions of the trajectories of particles; in particular, the equations governing the functional ...
Xu, Pengbo, Deng, Weihua
openaire   +2 more sources

On the Long-range Dependence of Fractional Poisson and Negative Binomial Processes

, 2016
We study the long-range dependence (LRD) of the increments of the fractional Poisson process (FPP), the fractional negative binomial process (FNBP) and the increments of the FNBP.
Maheshwari, A., Vellaisamy, P.
core   +1 more source

Capturing Multiple Timescales of Adaptation to Second-Order Statistics With Generalized Linear Models: Gain Scaling and Fractional Differentiation

Frontiers in Systems Neuroscience, 2020
Single neurons can dynamically change the gain of their spiking responses to take into account shifts in stimulus variance. Moreover, gain adaptation can occur across multiple timescales.
Kenneth W. Latimer, Adrienne L. Fairhall
doaj   +1 more source

Random time-change with inverses of multivariate subordinators: governing equations and fractional dynamics

, 2020
It is well-known that compositions of Markov processes with inverse subordinators are governed by integro-differential equations of generalized fractional type.
Beghin, Luisa, Macci, Claudio, Ricciuti, Costantino   +2 more
core   +1 more source

Приложение эредитарной модели критичности к исследованию характеристик сейсмического процесса в зоне субдукции Курило-Камчатской островной дуги

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
В статье представлены результаты статистической обработки данных каталога землетрясений КФ ФИЦ ЕГС РАН за период 01.01.1962 − 31.12.2002 гг. для зоны субдукции Курило-Камчатской островной дуги в рамках ранее представленной авторами эредитарной модели ...
Шереметьева, О.В., Шевцов, Б.М.   +1 more
doaj   +1 more source

Fractional properties of geophysical field variability on the example of hydrochemical parameters

E3S Web of Conferences, 2017
Using the properties of compound Poisson process and its fractional generalizations, statistical models of geophysical fields variability are considered on an example of hydrochemical parameters system.
Shevtsov Boris, Shevtsova Olga
doaj   +1 more source