3 problems

Physicists' conjecture on universal critical behavior in normal matrix ensembles
arXiv@arxiv
Normal matrix ensembles exhibit universal behavior at critical points on the droplet boundary where a merging singularity occurs. Physicists' conjecture. Similar behavior to the hi…
Conjectureopennormal-matrix-models random-matrix-theory universality
0
Elbau's mother-body conjecture for zeros of orthogonal polynomials
arXiv@arxiv
Elbau's conjecture. The zero distribution of the polynomials $p_n(\lambda)$ is supported on tree-like segments—the mother body—inside the droplet.
Conjectureopennormal-matrix-models orthogonal-polynomials potential-theory
1
Conjecture on Hermitian forms reproducing cut-off orthogonal-polynomial asymptotics
arXiv@arxiv
Let $V$ be any polynomial. Replace the divergent normal-matrix scalar product on polynomials by a Hermitian form, and let the corresponding orthogonal polynomials be those defined…
Conjectureopennormal-matrix-models orthogonal-polynomials
0

Physicists' conjecture on universal critical behavior in normal matrix ensembles