3 problems

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Angst–Malicet–Poly conjecture on almost-sure convergence for fixed higher derivatives
Let $k\in\mathbb{N}$ be fixed, and consider the empirical measure of the zeros of the $k$ -th derivative of the random polynomial described in the surrounding setup. Angst–Malicet–P…
Conjectureopenalmost-sure-convergence random-polynomials zeros-of-derivativesarXiv posted 2 days ago
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Distribution-independent metastable rates for almost sure convergence
Metastable rates concern quantitative formulations of almost sure convergence for sequences of random variables, and a rate is distribution-independent when it does not depend on t…
Conjectureopenalmost-sure-convergence probability-theory proof-theoryarXiv posted 2 days ago
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Almost-sure convergence conjecture for non-leaf-free multicyclic subgraph counts
Fix a connected multicyclic graph $H$ with $2$ -core $H'$ , and let $t$ be the number of vertices in $H\setminus H'$ . For a fixed $m\geqslant m_H$ , let $W_n$ and $W'_n$ denote the nu…
Conjectureopenalmost-sure-convergence random-graphs uniform-attachment-modelarXiv posted 2 days ago

Angst–Malicet–Poly conjecture on almost-sure convergence for fixed higher derivatives