Statistical Physics
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Sturm–Liouville systems for the survival probability in firstpassage time problems
(20231115)We derive a Sturm–Liouville system of equations for the exact calculation of the survival probability in firstpassage time problems. This system is the one associated with the Wiener–Hopf integral equation obtained from ... 
Morning naps architecture and mentation recall complexity
(2023)Mentation reports were collected after spontaneous awakenings from morning naps in 18 healthy participants, and associations between sleep stages duration and complexity of recalled mentation were investigated. Participants ... 
Firespotting modelling in operational wildfire simulators based on cellular automata: a comparison study.
(2021)One crucial mechanism in the spread of wildfires is the socalled firespotting: a random phenomenon which occurs when embers are transported over large distances. Firespotting speeds up the Rate of Spread and starts ... 
Firespotting modelling in operational wildfire simulators based on cellular automata: a comparison study
(20230731)One crucial mechanism in the spread of wildfires is the socalled firespotting: a random phenomenon which occurs when embers are transported over large distances. Firespotting 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
(20230707)A discrete map for modelling wildfire propagation is derived from a prototypical reactiondiffusion equation for the temperature field. We show that, for a constant fuel concentration at the firefront, the heat transfer ... 
The FokkerPlanck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm.
(2022)By collecting from literature data the experimental evidences of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live E. coli cells, we get the probability ... 
WienerHopf Integral Equations in Mean Firstpassage Time Problems for Continuoustime Random Walks
(2023)We study the mean firstpassage 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 firstpassage time of continuoustime random walks by nonhomogeneous WienerHopf integral equations
(20221223)We study the mean firstpassage time (MFPT) for asymmetric continuoustime random walks in continuousspace characterised by waitingtimes with finite mean and by jumpsizes with both finite mean and finite variance. In ... 
Anomalous diffusion originated by two Markovian hoppingtrap mechanisms
(2022)We show through intensive simulations that the paradigmatic features of anomalous diffusion are indeed the features of a (continuoustime) random walk driven by two different Markovian hoppingtrap mechanisms. If $p ... 
A highresolution 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 ... 
Firespotting generated fires. Part II: The role of flame geometry and slope
(2022)This is the second part of a series of two papers concerning firespotting generated fires. While, in the first part, we focus on the impact of macroscale factors on the growth of the burning area by considering the ... 
The tempered spacefractional Cattaneo equation
(2022)We consider the timefractional Cattaneo equation involving the tempered Caputo spacefractional derivative. There is an increasing interest in the recent literature for the applications of the fractionaltype Cattaneo ... 
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 ... 
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, ... 
Statistical Characterization of Wildfire Dynamics: Studying the Relation Between Burned Area and Head of the Fire
(20220606)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 ... 
Fractional Diffusion and Medium Heterogeneity: The Case of the Continuos Time Random Walk
(20210724)In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian random walk when the medium displays a powerlaw heterogeneity. Within the framework of the continuous time random walk, the ... 
Stochastic Properties of Colliding Hard Spheres in a Nonequilibrium Thermal Bath
(20210724)We consider the problem of describing the dynamics of a test particle moving in a thermal bath using the stochastic differential equations. We briefly recall the stochastic approach to the Brownian based on the statistical ... 
Stochastic resetting by a random amplitude
(20210518)Stochastic resetting, a diffusive process whose amplitude is reset to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. Here we generalize the resetting ... 
Exact distributions of the maximum and range of random diffusivity processes
(20210209)We study the extremal properties of a stochastic process $x_t$ defined by the Langevin equation ${\dot {x}}_{t}=\sqrt{2{D}_{t}}\enspace {\xi }_{t}$, in which $\xi_t$ is a Gaussian white noise with zero mean and $D_t$ is a ...