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Stochastic Properties of Colliding Hard Spheres in a Non-equilibrium Thermal Bath

Bazzani, A.; Vitali, S.

; Montanari, C.; Monti, M.; Rambaldi, S.; Castellani, G. (2021-07-24)

We consider the problem of describing the dynamics of a test particle moving in a thermal bath using the stochastic differential equations. We briefly recall the stochastic approach to the Brownian based on the statistical ...

Gut microbiota ecology: Biodiversity estimated from hybrid neutral-niche model increases with health status and aging

Sala, C.; Giampieri, E.; Vitali, S.

; Garagnani, P.; Remondini, D.; Bazzani, A.; Franceschi, C.; Castellani, G. (2020-10-30)

In this work we propose an index to estimate the gut microbiota biodiversity using a modeling approach with the aim of describing its relationship with health and aging. The gut microbiota, a complex ecosystem that links ...

Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles

Sliusarenko, O.

; Vitali, S.

; Sposini, V.; Paradisi, P.

; Chechkin, A.V.; Castellani, G.; Pagnini, G.

(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 ...

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.

; Sposini, V.; Sliusarenko, O.

; Paradisi, P.

; Castellani, G.; Pagnini, G.

(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 ...

Langevin equation in complex media and anomalous diffusion

Vitali, S.