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Twoparticle anomalous diffusion: Probability density functions and selfsimilar stochastic processes
(20131231)Twoparticle 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 selfsimilar stochastic processes. ... 
The MWright function as a generalization of the Gaussian density for fractional diffusion processes
(20131231)The leading role of a special function of the Wrighttype, referred to as MWright or Mainardi function, within a parametric class of selfsimilar stochastic processes with stationary increments, is surveyed. This class ... 
Front propagation in anomalous diffusive media governed by timefractional diffusion
(20141231)In this paper, a multidimensional model is proposed to study the propagation of random fronts in media in which anomalous diffusion takes place. The front position is obtained as the weighted mean of fronts calculated by ... 
Selfsimilar stochastic models with stationary increments for symmetric spacetime fractional diffusion
(20141231)An approach to develop stochastic models for studying anomalous diffusion is proposed. In particular, in this approach the stochastic particle trajectory is based on the fractional Brownian motion but, for any realization, ... 
Short note on the emergence of fractional kinetics
(20141231)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 nonMarkovian master equations. Particle trajectories are assumed to ... 
Modelling wildland fire propagation by tracking random fronts
(20141231)Abstract. Wildland fire propagation is studied in the liter ature by two alternative approaches, namely the reaction– diffusion equation and the levelset method. These two ap proaches are considered alternatives to each ... 
Fractional relaxation with timevarying coefficient
(20141231)From the point of view of the general theory of the hyperBessel operators, we consider a particular operator that is suitable to generalize the standard process of relaxation by taking into account both memory effects of ... 
The emergence of selforganization in complex systemsPreface
(20151231)[No abstract available] 
Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency
(20151231)In many complex systems the nonlinear cooperative dynamics determine the emergence of selforganized, metastable, structures that are associated with a birthdeath process of cooperation. This is found to be described by ... 
Velocity and energy distributions in microcanonical ensembles of hard spheres
(20151231)In a microcanonical ensemble (constant NVE, hard reflecting walls) and in a molecular dynamics ensemble (constant NVEPG, periodic boundary conditions) with a number N of smooth elastic hard spheres in a ddimensional volume ... 
A renewal model for the emergence of anomalous solute crowding in liposomes
(20151231)A fundamental evolutionary step in the onset of living cells is thought to be the spontaneous formation of lipid vesicles (liposomes) in the prebiotic mixture. Even though it is well known that hydrophobic forces drive ... 
Fractional kinetics emerging from ergodicity breaking in random media
(2016)We present a modelling approach for diffusion in a complex medium characterized by a random lengthscale. The resulting stochastic process shows subdiffusion with a behavior in qualitative agreement with single particle ... 
Modelling and simulation of wildland fire in the framework of the level set method
(20160101)Among the modelling approaches that have been proposed for the simulation of wildfire propagation, two have gained considerable attention in recent years: the one based on a reactiondiffusion equation, and the one based ... 
Turbulence and firespotting effects into wildland fire simulators
(20160101)This paper presents a mathematical approach to model the effects and the role of phenomena with random nature such as turbulence and firespotting into the existing wildfire simulators. The formulation proposes that the ... 
The challenge of brain complexity: A brief discussion about a fractal intermittencybased approach
(20161030)In the last years, the complexity paradigm is gaining momentum in many research fields where large multidimensional datasets are made available by the advancements in instrumental technology. A complex system is a ... 
DarrieusLandau instabilities in the framework of the Gequation
(201704)We consider a model formulation of the flame front propagation in turbulent premixed combustion based on stochastic fluctuations imposed to the mean flame position. In particular, the mean flame motion is described by ... 
Numerical valuation of twoasset options under jump diffusion models using GaussHermite quadrature
(20170419)In this work a finite difference approach together with a bivariate Gauss–Hermite quadrature technique is developed for partial integrodifferential equations related to option pricing problems on two underlying asset ... 
Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions
(20170428)In this work, we propose novel discretisations of the spectral fractional Laplacian on bounded domains based on the integral formulation of the operator via the heatsemigroup formalism. Specifically, we combine suitable ... 
Front Curvature Evolution and Hydrodynamics Instabilities
(20170607)It is known that hydrodynamic instabilities in turbulent premixed combustion are described by the MichelsonSivashinsky (MS) equation. A model of the flame front propagation based on the Gequation and on stochastic ... 
From G  Equation to Michelson  Sivashinsky Equation in Turbulent Premixed Combustion Modelling
(20170620)It is well known that the MichelsonSivashinky equation describes hydrodynamic instabilities in turbulent premixed combustion. Here a formulation of the flame front propagation based on the Gequation and on stochastic ...