## Search

Now showing items 1-10 of 72

#### Wiener-Hopf Integral Equations in Mean First-passage Time Problems for Continuous-time Random Walks

(2023)

We study the mean first-passage time (MFPT) for asymmetric continuous time random walks in continuous space characterised by finite mean waiting times and jump amplitudes with both finite average and finite variance. We ...

#### Exact calculation of the mean first-passage time of continuous-time random walks by nonhomogeneous Wiener-Hopf integral equations

(2022-12-23)

We study the mean first-passage time (MFPT) for asymmetric continuous-time random walks in continuous-space characterised by waiting-times with finite mean and by jump-sizes with both finite mean and finite variance. In ...

#### Statistical Characterization of Wildfire Dynamics: Studying the Relation Between Burned Area and Head of the Fire

(2022-06-06)

We show that the probability density function (PDF) of an area enclosed by a random perimeter is driven by the PDF of the integration bounds and the mean value of the perimeter function. With reference to wildfires, if the ...

#### Fire-spotting generated fires. Part II: The role of flame geometry and slope

(2022)

This is the second part of a series of two papers concerning fire-spotting generated fires. While, in the first part, we focus on the impact of macro-scale factors on the growth of the burning area by considering the ...

#### Anomalous diffusion originated by two Markovian hopping-trap mechanisms

(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 ...

#### A high-resolution fuel type mapping procedure based on satellite imagery and neural networks: Updating fuel maps for wildfire simulators

(2022)

A major limitation in the simulation of forest fires involves the proper characterization of the surface vegetation over the study area, based on land cover maps. Unfortunately, these maps may be outdated, with areas where ...

#### Wildfire Spreading: a new application of the Beta distribution

(2022)

This dissertation is in the mathematical physics area, more specifically, applications
in the statistics field. The thesis, under the supervision of Dr. Gianni Pagnini, was carried out at
the BCAM - Basque Centre for ...

#### Beta Distribution in Wildfire Spreading

(2022)

This paper is the result of research work carried out in collaboration with the Statistical Physics team of the Basque Center for Applied Mathematics in Bilbao, supervised by Dr. Gianni Pagnini.
Main subject is PROPAGATOR, ...

#### The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm

(2022)

By collecting from literature data experimental evidence of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live Escherichia coli cells, we obtain the ...

#### The tempered space-fractional Cattaneo equation

(2022)

We consider the time-fractional Cattaneo equation involving the tempered Caputo space-fractional derivative. There is an increasing interest in the recent literature for the applications of the fractional-type Cattaneo ...