19 citations · 43 across the 8 of their papers we have counts for
8 papers
Condition numbers of block Toeplitz matrices and stability of space-time IgA approximations for the wave and Schrödinger equations
Manuel Bogoya, Albrecht Böttcher, Matteo Ferrari +2
In previous work by several authors, the behavior of the condition numbers of banded Toeplitz matrices was studied as the matrix size tends to infinity. In the present contribution…
Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic
Mauricio Barrera, Albrecht Boettcher, Sergei M. Grudsky +1
It was shown in a series of recent publications that the eigenvalues of Toeplitz matrices generated by so-called simple-loop symbols admit certain regular asymptotic ex…
Lattices from tight equiangular frames
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +2
We consider the set of all linear combinations with integer coefficients of the vectors of a unit tight equiangular frame and are interested in the question whether this se…
Spherical 2-designs and lattices from Abelian groups
Albrecht Boettcher, Simon Eisenbarth, Lenny Fukshansky +2
We consider lattices generated by finite Abelian groups. We prove that such a lattice is strongly eutactic, which means the normalized minimal vectors of the lattice form a spheric…
From convergence in distribution to uniform convergence
Johan Manuel Bogoya, Albrecht Boettcher, Egor A. Maximenko
We present conditions that allow us to pass from the convergence of probability measures in distribution to the uniform convergence of the associated quantile functions. Under thes…
Lattices from Hermitian function fields
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
We consider the well-known Rosenbloom-Tsfasman function field lattices in the special case of Hermitian function fields. We show that in this case the resulting lattices are genera…
On lattices generated by finite Abelian groups
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
This paper is devoted to the study of lattices generated by finite Abelian groups. Special species of such lattices arise in the exploration of elliptic curves over finite fields.…
On Hurwitz stable polynomials with integer coefficients
Albrecht Boettcher
Let H(N) denote the set of all polynomials with positive integer coefficients which have their zeros in the open left half-plane. We are looking for polynomials in H(N) whose large…