Burger, M. Engl, H. W. Leitao, A. Markowich, P. A.
Published in
Milan Journal of Mathematics

This paper is devoted to the investigation of inverse problems related to stationary drift-diffusion equations modeling semiconductor devices. In this context we analyze several identification problems corresponding to different types of measurements, where the parameter to be reconstructed is an inhomogeneity in the PDE model (doping profile). For...

Bayer-Fluckiger, Eva Suarez, Ivan
Published in
Archiv der Mathematik

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Becher, Karim Johannes
Published in
Archiv der Mathematik

This note is motivated by the problem of determining the u-invariant of a field F of characteristic different from two when it is known that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69p...

Bartholdi, Laurent de Cornulier, Yves
Published in
Archiv der Mathematik

We exhibit infinite, solvable, virtually abelian groups with a fixed number of generators, having arbitrarily large balls consisting of torsion elements. We also provide a sequence of 3-generator non-virtually nilpotent polycyclic groups of algebraic entropy tending to zero. All these examples are obtained by taking appropriate quotients of finitel...

Houriet, Julien
Published in
Archiv der Mathematik

By a result of H.W. Lenstra, one can prove that a number field is Euclidean with the aid of exceptional units. We describe two methods computing exceptional sequences, i.e., sets of units such that the difference of any two of them is still a unit. The second method is based on a graph theory algorithm for the maximum clique problem. This yielded 4...

Wiesemeier, Theresa Hay, Mark Pohnert, Georg
Published in
Aquatic Sciences

The chemical defence potential against herbivores of certain Dictyotalean brown algae increases after tissue disruption. This wound activated defence has been explored in bioassays, but the metabolic pathways behind it are unknown. Here we describe a metabolic profiling approach to identify the activated defence metabolites. Before and after tissue...

Baylis, W. E. Cabrera, R. Keselica, J. D.
Published in
Advances in Applied Clifford Algebras

Although intrinsic spin is usually viewed as a purely quantum property with no classical analog, we present evidence that fermion spin has a classical origin rooted in the geometry of three-dimensional physical space. Our approach to the quantum/classical interface is based on a formulation of relativistic classical mechanics that uses spinors. Spi...

Reem, Daniel Reich, Simeon Zaslavski, Alexander J.
Published in
Journal of Fixed Point Theory and Applications

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space X into X, and the second with an application of the continuation method to the case where they satisfy the Leray–Schauder boundary condition in Bana...

Johnsen, Jon
Published in
Integral Equations and Operator Theory

A study is made of a recent integral identity of B. Helffer and J. Sjöstrand, which for a not yet fully determined class of probability measures yields a formula for the covariance of two functions (of a stochastic variable); in comparison with the Brascamp-Lieb inequality, this formula is a more flexible and in some contexts stronger means for the...

Stamatakis, S.
Published in
Results in Mathematics

We investigate some characteristic properties of specific Weingarten surfaces in the Euclidean space E3 using the nets of the lines of curvature resp. the asymptotic lines on both central surfaces of them.