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SHOULD I STAY OR SHOULD I GO? ZERO-SIZE JUMPS IN RANDOM WALKS FOR LÉVY FLIGHTS 

Pagnini, G.Autoridad BCAM; Vitali, S.Autoridad BCAM (2021-02)
We study Markovian continuous-time random walk models for Lévy flights and we show an example in which the convergence to stable densities is not guaranteed when jumps follow a bi-modal power-law distribution that is equal ...
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Gaussian processes in complex media: new vistas on anomalous diffusion 

Di Tullio, F.; Paradisi, P.Autoridad BCAM; Spigler, R.; Pagnini, G.Autoridad BCAM (2019-09)
Normal or Brownian diffusion is historically identified by the linear growth in time of the variance and by a Gaussian shape of the displacement distribution. Processes departing from the at least one of the above conditions ...
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Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles 

Sliusarenko, O.Autoridad BCAM; Vitali, S.Autoridad BCAM; Sposini, V.; Paradisi, P.Autoridad BCAM; Chechkin, A.V.; Castellani, G.; Pagnini, G.Autoridad BCAM (2019-02-01)
Complex systems are known to display anomalous diffusion, whose signature is a space/time scaling $x \sim t^\delta$ with $\delta \neq 1/2$ in the probability density function (PDF). Anomalous diffusion can emerge jointly ...
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Fractional kinetics in random/complex media 

Pagnini, G.Autoridad BCAM (2019)
In this chapter, we consider a randomly-scaled Gaussian process and discuss a number of applications to model fractional diffusion. Actually, this approach can be understood as a Gaussian diffusion in a medium characterized ...
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Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion 

D’Ovidio, M.; Vitali, S.Autoridad BCAM; Sposini, V.; Sliusarenko, O.Autoridad BCAM; Paradisi, P.Autoridad BCAM; Castellani, G.; Pagnini, G.Autoridad BCAM (2018-10-25)
We consider an ensemble of Ornstein–Uhlenbeck processes featuring a population of relaxation times and a population of noise amplitudes that characterize the heterogeneity of the ensemble. We show that the centre-of-mass ...
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The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes 

Pagnini, G.Autoridad BCAM (2013-12-31)
The leading role of a special function of the Wright-type, referred to as M-Wright or Mainardi function, within a parametric class of self-similar stochastic processes with stationary increments, is surveyed. This class ...

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AuthorPagnini, G. (6)Paradisi, P. (3)Vitali, S. (3)Castellani, G. (2)Sliusarenko, O. (2)Sposini, V. (2)Chechkin, A.V. (1)Di Tullio, F. (1)D’Ovidio, M. (1)Spigler, R. (1)Subject
fractional diffusion (6)
anomalous diffusion (3)generalized grey Brownian motion (2)biological transport (1)Center of mass (1)coin-flipping rule (1)complex media (1)complex medium (1)continuous time random walk (1)continuous-time random walks (1)... másFecha2021 (1)2019 (3)2018 (1)2013 (1)

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