6 problems

Angelesco-type vector equilibrium conjecture. In this case, the asymptotic zero distribution can be described in terms of an Angelesco-type vector equilibrium problem.

Let $r$ be the number of parameters, let ${\mathbf{k}}\in {\mathbb N}^r$ be a multi-index, let $x$ be an indeterminate, and let ${\bm{\beta}}=(\beta_1,\ldots,\beta_r)$ be a vector…

Let $\boldsymbol{\kappa}_\lambda$ be the left eigenvector associated with the dual Markov chains, and let $\lambda$ be the parameter used to construct them. The chains are called t…

Let $\boldsymbol{\kappa}_\lambda$ be the nonnegative left eigenvector of the dual multiple stochastic matrices associated with a measure $\mu$ and parameter $\lambda$. A mass point…

Multiple Nevai class conjecture. The multiple Nevai class should contain Angelesco systems satisfying only

Positivity and uniqueness conjecture. There is a unique positive solution, and it corresponds to the initial condition