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On using Reproducing Kernel Hilbert Spaces for the analysis of Replicated Spatial Point Processes
(Elsevier, 2023)
This paper focuses on the use of the theory of Reproducing
Kernel Hilbert Spaces in the statistical analysis of replicated point
processes. We show that spatial point processes can be observed
as random variables in a ...
Fuzzy quasi-pseudometrics on algebraic structures
(Elsevier, 2018-01)
In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ...
Multiple photon effective Hamiltonians in linear quantum optical networks
(Elsevier, 2019)
We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution
of the quantum state of any number of photons entering a linear optics multiport. The description is based ...
Achievable connectivities of Fatou components for a family of singular perturbations
(American Institute of Mathematical Sciences, 2022-09)
In this paper we study the connectivity of Fatou components for maps in a large
family of singular perturbations. We prove that, for some parameters inside the family, the
dynamical planes for the corresponding maps ...
Lower bounds for the volume with upper bounds for the Ricci Curvature in dimension three
(WileyLondon Mathematical Society, 2020)
In this note, we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a 3‐dimensional Riemannian manifold assuming only upper bounds for the Ricci curvature.
Modeling Influence of Soil Properties in Different Gradients of Soil Moisture: The Case of the Valencia Anchor Station Validation Site, Spain
(Taylor and Francis, 2021-12-19)
The prediction of spatial and temporal variation of soil water content brings numerous
benefits in the studies of soil. However, it requires a considerable number of covariates to be included
in the study, complicating ...
Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation
(MDPI, 2019)
A new way to compute the Taylor polynomial of a matrix exponential is presented
which reduces the number of matrix multiplications in comparison with the de-facto standard
Paterson-Stockmeyer method for polynomial ...
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems
(Elsevier, 2020-03-15)
Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonlinear non-autonomous ordinary differential equations are presented and tested on problems possessing qualitative (very often, ...
A dichotomy property for locally compact groups
(Elsevier, 2018-08)
We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) ...
Efficient time integration methods for Gross-Pitaevskii equations with rotation term
(American Institute of Mathematical Sciences, 2019)
The objective of this work is the introduction and investigation of favourable time integration methods for the Gross-Pitaevskii equation with rotation term. Employing a reformulation in rotating Lagrangian coordinates, ...