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Now showing items 1-10 of 49

#### Sturm–Liouville systems for the survival probability in first-passage time problems

(2023-11-15)

We derive a Sturm–Liouville system of equations for the exact calculation of the survival probability in first-passage time problems. This system is the one associated with the Wiener–Hopf integral equation obtained from ...

#### Fire-spotting modelling in operational wildfire simulators based on cellular automata: a comparison study

(2023-07-31)

One crucial mechanism in the spread of wildfires is the so-called fire-spotting: a random phenomenon which occurs when embers are transported over large distances. Fire-spotting speeds up the Rate of Spread and starts new ...

#### Predicting the arrival of the unpredictable: An approach for foreseeing the transition to chaos of wildfire propagation

(2023-07-07)

A discrete map for modelling wildfire propagation is derived from a prototypical reaction-diffusion equation for the temperature field. We show that, for a constant fuel concentration at the fire-front, the heat transfer ...

#### 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 ...

#### 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 ...

#### 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 ...