29 citations · 83 across the 15 of their papers we have counts for
8 papers · 1 filter
Boundary value problems and Heisenberg uniqueness pairs
S. Rigat, F. Wielonsky
We describe a general method for constructing Heisenberg uniqueness pairs in the euclidean space based on the study of boundary value problems for partial…
Riesz energy problems with external fields and related theory
Peter Dragnev, Ramon Orive, Edward B. Saff +1
In this paper, we investigate Riesz energy problems on unbounded conductors in in the presence of general external fields , not necessarily satisfying the growth conditio…
Zeros of Faber polynomials for Joukowski airfoils
N. Levenberg, F. Wielonsky
Let be the closure of a bounded region in the complex plane with simply connected complement whose boundary is a piecewise analytic curve with at least one outward cusp. The as…
A large deviation principle for weighted Riesz interactions
Tom Bloom, Norman Levenberg, Franck Wielonsky
We prove a large deviation principle for the sequence of push-forwards of empirical measures in the setting of Riesz potential interactions on compact subsets K in R^d with continu…
Optimal logarithmic estimates in the Hardy-Sobolev space of the disk and stability results
Imed Feki, Houda Nfata, Franck Wielonsky
We prove a logarithmic estimate in the Hardy-Sobolev space , a positive integer, of the unit disk . This estimate extends those previously established by…
Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses
Bernhard Beckermann, Valery Kalyagin, Ana C. Matos +1
We prove existence and uniqueness of a solution to the problem of minimizing the logarithmic energy of vector potentials associated to a -tuple of positive measures supported on…