• The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes 

      Pagnini G. (Fractional Calculus and Applied Analysis, 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 ...
    • Two-particle anomalous diffusion: Probability density functions and self-similar stochastic processes 

      Pagnini G.; Mura A.; Mainardi F. (Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 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. ...
    • Fractional relaxation with time-varying coefficient 

      Garra R.; Giusti A.; Mainardi F.; Pagnini G. (Fractional Calculus and Applied Analysis, 2014-12-31)
      From the point of view of the general theory of the hyper-Bessel operators, we consider a particular operator that is suitable to generalize the standard process of relaxation by taking into account both memory effects of ...
    • Front propagation in anomalous diffusive media governed by time-fractional diffusion 

      Mentrelli A.; Pagnini G. (Journal of Computational Physics, 2014-12-31)
      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 position is obtained as the weighted mean of fronts calculated by ...
    • Self-similar stochastic models with stationary increments for symmetric space-time fractional diffusion 

      Pagnini G. (MESA 2014 - 10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, Conference Proceedings, 2014-12-31)
      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 

      Pagnini G. (Physica A: Statistical Mechanics and its Applications, 2014-12-31)
      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 non-Markovian master equations. Particle trajectories are assumed to ...
    • Modelling wildland fire propagation by tracking random fronts 

      Pagnini G.; Mentrelli A. (Natural Hazards and Earth System Sciences, 2014-12-31)
      Abstract. Wildland fire propagation is studied in the liter- ature by two alternative approaches, namely the reaction– diffusion equation and the level-set method. These two ap- proaches are considered alternatives to each ...
    • Velocity and energy distributions in microcanonical ensembles of hard spheres 

      Scalas E.; Gabriel A.T.; Martin E.; Germano G. (Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2015-12-31)
      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 d-dimensional volume ...
    • A renewal model for the emergence of anomalous solute crowding in liposomes 

      Paradisi P.; Allegrini P.; Chiarugi D. (BMC Systems Biology, 2015-12-31)
      A fundamental evolutionary step in the onset of living cells is thought to be the spontaneous formation of lipid vesicles (liposomes) in the pre-biotic mixture. Even though it is well known that hydrophobic forces drive ...
    • Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency 

      Paradisi P.; Allegrini P. (Chaos, Solitons and Fractals, 2015-12-31)
      In many complex systems the non-linear cooperative dynamics determine the emergence of self-organized, metastable, structures that are associated with a birth-death process of cooperation. This is found to be described by ...
    • The emergence of self-organization in complex systems-Preface 

      Paradisi P.; Kaniadakis G.; Scarfone A.M. (Chaos, Solitons and Fractals, 2015-12-31)
      [No abstract available]
    • Fractional kinetics emerging from ergodicity breaking in random media 

      Molina-García D.; Minh Pham T.; Paradisi P.; Manzo C.; Pagnini G. (Physical Review E, 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 ...
    • Turbulence and fire-spotting effects into wild-land fire simulators 

      Kaur I.; Mentrelli A.; Bosseur F.; Filippi J.-B.; Pagnini G. (Communications in Nonlinear Science and Numerical Simulation, 2016-01-01)
      This paper presents a mathematical approach to model the effects and the role of phenomena with random nature such as turbulence and fire-spotting into the existing wildfire simulators. The formulation proposes that the ...
    • Modelling and simulation of wildland fire in the framework of the level set method 

      Mentrelli A.; Pagnini G. (Ricerche di Matematica, 2016-01-01)
      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 reaction-diffusion equation, and the one based ...
    • The challenge of brain complexity: A brief discussion about a fractal intermittency-based approach 

      Paradisi P.; Righi M.; Barcaro U. (PhyCS 2016 - Proceedings of the 3rd International Conference on Physiological Computing Systems, 2016-10-30)
      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 ...
    • Darrieus-Landau instabilities in the framework of the G-equation 

      Pagnini G.; Trucchia A. (Digital proceedings of the 8th European Combustion Meeting, 18-21 April 2017, Dubrovnik, Croatia, 2017-04)
      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 two-asset options under jump diffusion models using Gauss-Hermite quadrature 

      Fakharany M.; Egorova V.; Company R. (Journal of Computational and Applied Mathematics, 2017-04-19)
      In this work a finite difference approach together with a bivariate Gauss–Hermite quadrature technique is developed for partial integro-differential equations related to option pricing problems on two underlying asset ...
    • Front Curvature Evolution and Hydrodynamics Instabilities 

      Pagnini G.; Trucchia A. (Proceedings/Extended Abstract Book (6 pages) of the XXXX Meeting of the Italian Section of the Combustion Institute, Rome, Italy, 2017-06-07)
      It is known that hydrodynamic instabilities in turbulent premixed combustion are described by the Michelson-Sivashinsky (MS) equation. A model of the flame front propagation based on the G-equation and on stochastic ...
    • From G - Equation to Michelson - Sivashinsky Equation in Turbulent Premixed Combustion Modelling 

      Pagnini G. (Proceedings/Extended Abstract Book (6 pages) of the XXXIX Meeting of the Italian Section of the Combustion Institute, Naples, Italy, 2017-06-20)
      It is well known that the Michelson-Sivashinky equation describes hydrodynamic instabilities in turbulent premixed combustion. Here a formulation of the flame front propagation based on the G-equation and on stochastic ...
    • Wildland fire propagation modeling: fire-spotting parametrisation and energy balance 

      Egorova V. N.; Pagnini G.; Trucchia A. (Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2017, pp. 805 - 813, 2017-07-04)
      Present research concerns the physical background of a wild-fire propagation model based on the split of the front motion into two parts - drifting and fluctuating. The drifting part is solved by the level set method and ...