2 problems

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Paquette–Zeitouni's liminf constant conjecture for the GUE minor process
Let $\widetilde{\lambda}_n$ denote the scaled largest-eigenvalue fluctuation in the GUE minor process. Paquette–Zeitouni's conjecture. The liminf has an almost-sure limiting consta…
Conjectureopengue-minor-process laws-of-iterated-logarithm random-matricesarXiv posted 2 days ago
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Paquette–Zeitouni's lower-tail decorrelation conjecture for the GUE minor process
Let $\widetilde{\lambda}_n$ be the scaled largest-eigenvalue fluctuation in the GUE minor process, and let $\mathcal{F}_n=\{\widetilde{\lambda}_n<-b_n\}$ denote the lower-tail even…
Conjectureopendecorrelation gue-minor-process random-matricesarXiv posted 2 days ago

Paquette–Zeitouni's liminf constant conjecture for the GUE minor process