44 citations · 156 across the 33 of their papers we have counts for
4 papers · 1 filter
Experiments on the zeros of harmonic polynomials using certified counting
Jonathan D. Hauenstein, Antonio Lerario, Erik Lundberg +1
Motivated by Wilmshurst's conjecture, we investigate the zeros of harmonic polynomials. We utilize a certified counting approach which is a combination of two methods from numerica…
Quasi-exceptional domains
Alexandre Eremenko, Erik Lundberg
Exceptional domains are domains on which there exists a positive harmonic function, zero on the boundary and such that the normal derivative on the boundary is constant. Recent res…
On the number of connected components of random algebraic hypersurfaces
Yan Fyodorov, Antonio Lerario, Erik Lundberg
We study the expectation of the number of components of a random algebraic hypersurface defined by the zero set in projective space of a random homogen…
Asymptotics of the Extremal Excedance Set Statistic
Rodrigo Ferraz de Andrade, Erik Lundberg, Brendan Nagle
Answering a question of Clark and Ehrenborg (2010), we determine asymptotics for the number of permutations of size n that admit the most common excedance set. In fact, we provide…