7 problems

Frequency-parametrization conjecture. In the finite-rank case, these limits are finite for every $i$, and conversely, for every $\lambda=(\lambda_1,\ldots,\lambda_d)\in\mathcal{C}$…

Frequency-uniqueness conjecture. For general Gelfand–Tsetlin type graphs, central measures are uniquely determined by their limiting frequencies.

Frequency-uniqueness conjecture. For homogeneous Gelfand–Tsetlin type graphs, the frequencies uniquely determine an ergodic central measure.

Let $K(n,k,l)$ be the recursively defined array of integers associated with the pascalized coupled Young graph, with $n\geq 3$, $k,l$ satisfying $2k+l<n-2$ and…

Let $\Theta$ be the coupled Young graph, let $\mathcal{P}(\Theta)$ be its pascalization, and let $A_{(\mathcal{C}_H,\delta)}(\infty)$ be the associated inductive limit algebra at t…

Let $\Theta$ be the coupled Young graph and let $\mathcal{P}(\Theta)$ be its pascalization. A central measure is a central measure on the space of infinite paths of this branching…

Let $A_{(\mathcal{H},\delta)}(\infty)$ be the inductive limit algebra associated with the hyperoctahedral case, and let its branching graph be the pascalization of the relevant pri…