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Exact distributions of the maximum and range of random diffusivity processes 

Grebenkov, D. S.; Sposini, V.; Metzler, R.; Oshanin, G.; Seno, F. (2021-02-09)
We study the extremal properties of a stochastic process $x_t$ defined by the Langevin equation ${\dot {x}}_{t}=\sqrt{2{D}_{t}}\enspace {\xi }_{t}$, in which $\xi_t$ is a Gaussian white noise with zero mean and $D_t$ is a ...
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Exact first-passage time distributions for three random diffusivity models 

Grebenkov, D. S.; Sposini, V.; Metzler, R.; Oshanin, G.; Seno, F. (2021-01-04)
We study the extremal properties of a stochastic process $x_t$ defined by a Langevin equation $\dot{x}= \sqrt{2D_o V (B_t )} \xi_t$, where $\xi$ is a Gaussian white noise with zero mean, $D_0$ is a constant scale factor, ...
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The random diffusivity approach for diffusion in heterogeneous systems 

Sposini, V. (2020-12-16)
The two hallmark features of Brownian motion are the linear growth $\langle x^2(t) \rangle = 2 D d t$ of the mean squared displacement (MSD) with diffusion coefficient $D$ in $d$ spatial dimensions, and the Gaussian ...
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Universal spectral features of different classes of random diffusivity processes 

Sposini, V.; Grebenkov, D.S.; Metzler, R.; Oshanin, G.; Seno, F. (2020-06-26)
Stochastic models based on random diffusivities, such as the diffusing- diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous media. Studies of these models typically ...
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Two-particle anomalous diffusion: Probability density functions and self-similar stochastic processes 

Pagnini, G.Autoridad BCAM; Mura, A.; Mainardi, F. (2013-12-31)
Two-particle dispersion is investigated in the context of anomalous diffusion. Two different modeling approaches related to time subordination are considered and unified in the framework of self-similar stochastic processes. ...

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AuthorSposini, V. (4)Metzler, R. (3)Oshanin, G. (3)Seno, F. (3)Grebenkov, D. S. (2)Grebenkov, D.S. (1)Mainardi, F. (1)Mura, A. (1)Pagnini, G. (1)Subject
Anomalous diffusion (5)
Random diffusivity (2)Random diffusivity models (2)First-passage time distributions (1)Fractional Brownian motion (1)Generalized grey Brownian motion (1)Heterogeneous systems (1)Lévy stable density (1)M-Wright function (1)Self-similar stochastic processes (1)... másFecha2021 (2)2020 (2)2013 (1)

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