3 problems

Let $L_n^{\varoast}$ denote the relevant longest monotone subsequence length for $\varoast\in\{\boxslash,\boxbslash,\boxdot\}$, and let $\gamma(\varoast)$ be the corresponding scal…

Let $L_n^{\varoast}$ denote the relevant longest monotone subsequence length for $\varoast\in\{\boxslash,\boxbslash,\boxdot\}$, let $\gamma(\varoast)$ and $\delta(\varoast)$ be the…

Let $t_0<t_1$ be any ordered pair of real numbers. For the probability $p_{\boxdot}(n;l)$ and the scaling variable $t_{l+1}(n)$, suppose $F_1$ and the functions $F_{\boxdot,j}$ are…