Mathematical Physics (MP)
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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 Unfortunately, these maps may be outdated, with areas where ...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 ... 
Uniform Lech's inequality
(2022)Let (R,m) be a Noetherian local ring, and let M be a finitely generated Rmodule of dimension d. We prove that the set [Formula presented] is bounded below by 1/d!e(R‾) where R‾=R/Ann(M). Moreover, when Mˆ is equidimensional, ... 
A bsymplectic slice theorem
(20220101)In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we ... 
COHOMOLOGY OF CONTACT LOCI
(20220101)We construct a spectral sequence converging to the cohomology with compact support of the mth contact locus of a complex polynomial. The first page is explicitly described in terms of a log resolution and coincides with ... 
Classical dynamics from selfconsistency equations in quantum mechanics
(20220509)During the last three decades, P. Bóna has developed a nonlinear generalization of quantum mechanics, based on symplectic structures for normal states and offering a general setting which is convenient to study the emergence ... 
Time Dynamics in Quantum Field Theory Systems
(20221223)In this doctoral thesis, we develop and investigate new mathematical tools that are intended to allow for a rigorous description of non–perturbative quantum field theory (QFT) dynamics. Here, the term QFT is to be understood ... 
Implementing Bogoliubov Transformations Beyond the ShaleStinespring Condition
(20220428)We provide two extensions of a dense subspace of Fock space, such that Bogoliubov transformations become implementable on them, even though they violate the ShaleStinespring condition, so they are not implementable on ... 
Extended State Space for Describing Renormalized Fock Spaces in QFT
(20220604)In quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not squareintegrable and have prefactors involving divergent integrals (known as ... 
Lower bounds on HilbertKunz multiplicities and maximal Fsignature
(2022)ABSTRACT. Hilbert–Kunz multiplicity and Fsignature are numerical invariants of commutative rings in positive characteristic that measure severity of singularities: for a regular ring both invariants are equal to one and ... 
Uniform Lech's inequality
(2022)Let (R,m) be a Noetherian local ring of dimension d ≥ 2. We prove that if e(Rred) > 1, then the classical Lech’s inequality can be improved uniformly for all mprimary ideals, that is, there exists ε > 0 such that e(I) ... 
Moderately Discontinuous Homology
(20210101)We introduce a new metric homology theory, which we call Moderately Discontinuous Homology, designed to capture Lipschitz properties of metric singular subanalytic germs. The main novelty of our approach is to allow ...