2 problems

Uyemura-Reyes's integrality conjecture for random-to-random shuffling
Uyemura-Reyes's conjecture. The eigenvalues of $\upsilon_n$ are rational integers.
openalgebraic-combinatorics random-shuffles representation-theory
0 responses
04
The asymptotic mixing-time conjecture for the $S_k$ shuffle
Let $N$ be the number of positions and let $k=o(N^{1/2})$ . Denote by $t_{\mathrm{mix}}(\varepsilon)$ and $t_{\mathrm{mix}}^{\prime}(\varepsilon)$ the $4\varepsilon$ 4-mixing times o…
openmarkov-chains mixing-times random-shuffles
0 responses
04

Uyemura-Reyes's integrality conjecture for random-to-random shuffling