## Search

Now showing items 1-10 of 15

#### 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 ...

#### 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 ...

#### Reduced description method in the kinetic theory of Brownian motion with active fluctuations

(2019-09-01)

We develop a microscopic approach to the kinetic theory of many-particle systems with dissipative and potential interactions in presence of active fluctuations. The approach is based on a generalization of Bogolyubov–Peletminskii ...

#### Single-trajectory spectral analysis of scaled Brownian motion

(2019-06)

A standard approach to study time-dependent stochastic processes is the power spectral density (PSD), an ensemble-averaged property defined as the Fourier transform of the autocorrelation function of the process in the ...

#### Fire-spotting generated fires. Part I: The role of atmospheric stability

(2019-02)

This is the first part of two papers concerning fire-spotting generated fires. In this part we deal with the impact of macroscale factors, such as the atmospheric stability, and in the second part we deal with mesoscale ...

#### 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 Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries

(2019-02)

Fractional Brownian motion (FBM) is a Gaussian stochastic process with stationary, long-time correlated increments and is frequently used to model anomalous diffusion processes. We study numerically FBM confined to a finite ...

#### On the merits of sparse surrogates for global sensitivity analysis of multi-scale nonlinear problems: Application to turbulence and fire-spotting model in wildland fire simulators

(2019-02)

Many nonlinear phenomena, whose numerical simulation is not straightforward, depend on a set of parameters in a way which is not easy to predict beforehand. Wildland fires in presence of strong winds fall into this category, ...

#### Stochastic processes for anomalous diffusion

(2019)

Anomalous diffusion is a diffusion process which Mean Square Displacement (MSD)
is not a linear funtion of time, what is known as normal diffusion.
When the relation is faster than linear, it is called superdiffusion and ...

#### Restoring property of the Michelson-Sivashinsky equation

(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 derivation based also on the flow field. Hence, the characteristics ...