3 problems

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Rosenblatt–Wierdl conjecture on divergence for zero-density ergodic averages
Rosenblatt–Wierdl conjecture. does not converge almost everywhere. This conjecture concerns divergence of sparse ergodic averages at the $L^1$ endpoint; the paper studies quantitat…
Conjecturerefutedergodic-averages ergodic-theory sparse-sequencesarXiv posted 2 days ago
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Subbotin-noise adaptivity of the empirical Bayes ell-value procedure
Consider the multiple testing setting of Theorem, with Subbotin noise and risk bound $\Lambda_\infty+o(1)$ . The empirical Bayes $\ell$ -value procedure is the procedure defined in.…
Conjectureopenmultiple-testing sparse-sequences subbotin-noisearXiv posted 2 days ago
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The gamma-factor conjecture for sparse-sequence compression
Gamma-factor conjecture. The achievability scheme can yield a multiplicative factor as small as
Conjectureopeninformation-theory source-coding sparse-sequencesarXiv posted 2 days ago

Rosenblatt–Wierdl conjecture on divergence for zero-density ergodic averages