Search Results - "Pagnini, Gianni"
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Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion
Published in New journal of physics (25-04-2018)“…A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a…”
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Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
Published in New journal of physics (18-10-2018)“…The emerging diffusive dynamics in many complex systems show a characteristic crossover behaviour from anomalous to normal diffusion which is otherwise fitted…”
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3
Ensemble heterogeneity mimics ageing for endosomal dynamics within eukaryotic cells
Published in Scientific reports (31-05-2023)“…Transport processes of many structures inside living cells display anomalous diffusion, such as endosomes in eukaryotic cells. They are also heterogeneous in…”
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4
Time-fractional Diffusion of Distributed Order
Published in Journal of vibration and control (01-09-2008)“…The partial differential equation of Gaussian diffusion is generalized by using the time-fractional derivative of distributed order between 0 and 1, in both…”
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The M-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey
Published in International Journal of Differential Equations (01-01-2010)“…In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as M-Wright function, entering as a probability…”
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6
Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast Moving Endosomes
Published in Entropy (Basel, Switzerland) (27-07-2021)“…Trajectories of endosomes inside living eukaryotic cells are highly heterogeneous in space and time and diffuse anomalously due to a combination of…”
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7
Study of Wound Healing Dynamics by Single Pseudo-Particle Tracking in Phase Contrast Images Acquired in Time-Lapse
Published in Entropy (Basel, Switzerland) (26-02-2021)“…Cellular contacts modify the way cells migrate in a cohesive group with respect to a free single cell. The resulting motion is persistent and correlated, with…”
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Gaussian Processes in Complex Media: New Vistas on Anomalous Diffusion
Published in Frontiers in physics (06-09-2019)“…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…”
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Short note on the emergence of fractional kinetics
Published in Physica A (01-09-2014)“…In the present Short Note an idea is proposed to explain the emergence and the observation of processes in complex media that are driven by fractional…”
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Linear combinations of i.i.d. strictly stable variables with random coefficients and their application to anomalous diffusion processes
Published in Physica A (01-08-2024)“…We show that linear combinations of independent and identically distributed strictly stable variables with positive random coefficients is equal in…”
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Generalized Fokker–Planck equation for superstatistical systems
Published in Physica. D (01-11-2024)“…Superstatistical systems are non-equilibrium systems in stationary states with large fluctuations of intensive quantities. Different effective statistical…”
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12
Fractional diffusion: probability distributions and random walk models
Published in Physica A (01-03-2002)“…We present a variety of models of random walk, discrete in space and time, suitable for simulating random variables whose probability density obeys a…”
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Front propagation in anomalous diffusive media governed by time-fractional diffusion
Published in Journal of computational physics (01-12-2015)“…In this paper, a multi-dimensional model is proposed to study the propagation of random fronts in media in which anomalous diffusion takes place. The front…”
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14
Restoring Property of the Michelson-Sivashinsky Equation
Published in Combustion science and technology (02-09-2019)“…In this paper, we propose a derivation of the Michelson-Sivashinsky (MS) equation that is based on front propagation only, in opposition to the classical…”
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15
The role of the Fox–Wright functions in fractional sub-diffusion of distributed order
Published in Journal of computational and applied mathematics (15-10-2007)“…The fundamental solution of the fractional diffusion equation of distributed order in time (usually adopted for modelling sub-diffusion processes) is obtained…”
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Journal Article Conference Proceeding -
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The -Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey
Published in International journal of differential equations (2010)“…In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as -Wright function, entering as a probability…”
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17
DISCRETIZATIONS OF THE SPECTRAL FRACTIONAL LAPLACIAN ON GENERAL DOMAINS WITH DIRICHLET, NEUMANN, AND ROBIN BOUNDARY CONDITIONS
Published in SIAM journal on numerical analysis (01-01-2018)“…In this work, we propose novel discretizations of the spectral fractional Laplacian on bounded domains based on the integral formulation of the operator via…”
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18
Fire-spotting generated fires. Part II: The role of flame geometry and slope
Published in Applied Mathematical Modelling (01-04-2022)“…•Modelling and characterization of fire-spotting generated fires through mesoscale factors.•Theoretical determination of the relationship between the flame…”
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19
Langevin equation in complex media and anomalous diffusion
Published in Journal of the Royal Society interface (01-08-2018)“…The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modelling approaches for…”
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The tempered space-fractional Cattaneo equation
Published in Probabilistic engineering mechanics (01-10-2022)“…We consider the time-fractional Cattaneo equation involving the tempered Caputo space-fractional derivative. There is an increasing interest in the recent…”
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