3 problems

Limit surface conjecture. For each continual Young diagram $f$, there should exist a limit surface $L_f$ defined on $D_f$, bounded between the $x$-axis and the graph of $f$, that d…

Let $\omega(x)$ be the continuous limit shape of a sequence of Young diagrams, and let the associated random Young tableaux have a limiting surface. Continuity conjecture. If…

Let an ordered alphabet have $m$ letters selected independently with unequal probabilities, and group the letters having equal probabilities into blocks. Let the associated GUE dir…