Now showing items 1-11 of 11

• #### Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion ﻿

(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 ﻿

(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 ﻿

(2015-12-31)
[No abstract available]
• #### Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ...