Buscar
Exponential propagators for the Schrodinger equation with a time-dependent potential
(AIP Publishing, 2018-06)
We consider the numerical integration of the Schrödinger equation with a time-dependent Hamiltonian given as the sum of the kinetic energy and a time-dependent potential. Commutator-free (CF) propagators are exponential ...
Disjointness preserving maps between vector-valued group algebras
(2018-06)
Let G be a locally compact abelian group and B be a commutative Banach algebra. Let L1(G,B) be the Banach algebra of B-valued Bochner integrable functions on G. In this paper we provide a complete description of continuous ...
Equivalence and orthogonality of Gaussian measures on spheres
(Elsevier, 2018-09)
The equivalence of Gaussian measures is a fundamental tool to establish the asymptotic properties of both prediction and estimation of Gaussian fields under fixed domain asymptotics. The paper solves Problem 18 in the list ...
Some problems about products of conjugacy classes in finite groups
(University of Isfahan, 2019-03)
We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect ...
Resample-smoothing of Voronoi intensity estimators
(Springer, 2019)
Voronoi estimators are non-parametric and adaptive estimators of the intensity of a point process. The intensity estimateat a given location is equal to the reciprocal of the size of the Voronoi/Dirichlet cell containing ...
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 ...
Partial characteristics for marked spatial point processes
(Wiley, 2019-09)
This paper introduces a new class of partial summary characteristics for twotypes of marked planar point processes. We consider purely qualitatively marked spatial point processes and multitype spatial point processes with ...
Uncertainty quantification for random Hamiltonian systems by using polynomial expansions and geometric integrators
(Elsevier, 2021-07-22)
Recent advances in the field of uncertainty quantification are based on achieving suitable functional representations of the solutions to random systems. This aims at improving the performance of Monte Carlo simulation, ...
A semiparametric spatiotemporal Hawkes-type point process model with periodic background for crime data
(WileyRoyal Statistical Society, 2018-12)
Past studies have shown that crime events are often clustered. This study proposes
a spatiotemporal Hawkes-type point process model, which includes a background component
with daily and weekly periodization, and a ...
The Universal Zeta Function for Curve Singularities and its Relation with Global Zeta Functions
(Springer, 2018-11-04)
The purpose of this note is to give a brief overview on zeta functions of curve singularities and to provide some evidences on how these and global zeta functions associated to singular algebraic curves over perfect fields ...