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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, ... -
A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks
(2023-02-15)Residual minimization is a widely used technique for solving Partial Differential Equations in variational form. It minimizes the dual norm of the residual, which naturally yields a saddle-point (min–max) problem over the ... -
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 ... -
Limited Visual Range in the Social Force Model: Effects on Macroscopic and Microscopic Dynamics
(2023-01-15)The Social Force Model has been widely used to simulate pedestrian dynamics. Its simplicity and ability to reproduce some collective patterns of behavior make it an adequate tool in the field of pedestrian dynamics. However, ...