2 problems

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Conjecture of Chatterjee and Diaconis on exponential convergence of the unitary trace
Let $U$ be distributed according to Haar measure on the unitary group $U(n,\mathbb{C})$ , and let $\operatorname{Tr}(U)$ denote its trace. For positive constants $c$ and $\delta$ , c…
Conjectureopenexponential-approximation probability random-matricesarXiv posted 2 days ago
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The conjectured n^{-1} convergence rate for conditioned Galton–Watson processes
Conjectured convergence-rate statement. The actual order of convergence is also $n^{-1}$ for more general offspring distributions.
Conjectureopenbranching-processes exponential-approximation probabilityarXiv posted 2 days ago

Conjecture of Chatterjee and Diaconis on exponential convergence of the unitary trace