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Paolo Paradisi

External Scientific Member

T +34 946 567 842
F +34 946 567 843
E pparadisi@bcamath.org

Anomalous diffusion originated by two Markovian hopping-trap mechanisms

Vitali, S.; Paradisi, P.; Pagnini, G. (2022)

We show through intensive simulations that the paradigmatic features of anomalous diffusion are indeed the features of a (continuous-time) random walk driven by two different Markovian hopping-trap mechanisms. If $p ...

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 ...

The challenge of brain complexity: A brief discussion about a fractal intermittency-based approach

Paradisi, P.; Righi, M.; Barcaro, U. (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 ...

The emergence of self-organization in complex systems-Preface

Paradisi, P.; Kaniadakis, G.; Scarfone, A.M. (2015-12-31)

[No abstract available]

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 ...

Fractional Diffusion and Medium Heterogeneity: The Case of the Continuos Time Random Walk

Sposini, V.; Vitali, S.; Paradisi, P.; Pagnini, G. (2021-07-24)

In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian random walk when the medium displays a power-law heterogeneity. Within the framework of the continuous time random walk, the ...

Fractional kinetics emerging from ergodicity breaking in random media

Molina-Garcia, D.; Minh Pham, T.; Paradisi, P.; Manzo, C.; Pagnini, G. (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 ...

Gaussian processes in complex media: new vistas on anomalous diffusion

Di Tullio, F.; Paradisi, P.; Spigler, R.; Pagnini, G. (2019-09)

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. Processes departing from the at least one of the above conditions ...

A hypothesis about parallelism vs. seriality in dreams

Barcaro, U.; Paradisi, P.; Sebastiani, L. (2019-10-10)

The current article discusses the hypothesis about parallelism vs. Seriality in dreams. The process of dream building implies the construction of a complex network of closely interrelated sources. On the other hand, the ...

Langevin equation in complex media and anomalous diffusion

Vitali, S.; Sposini, V.; Sliusarenko, O.; Paradisi, P.; Castellani, G.; Pagnini, G. (2018-07-30)

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 the description of anomalous diffusion in biological systems, such ...

A renewal model for the emergence of anomalous solute crowding in liposomes

Paradisi, P.; Allegrini, P.; Chiarugi, D. (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. (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 ...