In this paper we study Riesz, Green and logarithmic energy on two-point homogeneous
spaces. More precisely we consider the real, the complex, the quaternionic and the Cayley …

Determinantal point processes exhibit an inherent repulsive behavior, thus providing
examples of very evenly distributed point sets on manifolds. In this paper, we study the so …

We study measures and point configurations optimizing energies based on multivariate
potentials. The emphasis is put on potentials defined by geometric characteristics of sets of …

The classical phase retrieval problem arises in contexts ranging from speech recognition to
x-ray crystallography and quantum state tomography. The generalization to matrix frames is …

We study probability measures that minimize the Riesz energy with respect to the geodesic
distance $\vartheta (x, y) $ on projective spaces $\mathbb {FP}^ d $(such energies arise …

Given points on the unit circle in and a number, we investigate the minimizers of the
functional. While it is known that each of these minimizers is a spanning set for, less is …

The mutual coherence of a matrix, defined as the maximum absolute value of the normalized
inner-products between different columns, is an important property that characterizes the …

Given N points X={xk} N k= 1 on the unit circle in R2 and a number 0≤ p≤∞ we investigate
the minimizers of the functional∑ N k, ℓ= 1|〈 xk, xℓ〉| p. While it is known that each of these …

Given $ N $ points $ X=\{x_k\} _ {k= 1}^ N $ on the unit circle in $\mathbb {R}^ 2$ and a
number $0\leq p\leq\infty $ we investigate the minimizers of the functional $\sum_ {k,\ell= 1} …

The classical phase retrieval problem arises in contexts ranging from speech recognition to
x-ray crystallography and quantum state tomography. The generalization to matrix frames is …