Saba Lepsveridze

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math.PR2026

Optimal Thresholds for Monotone Non-Boolean Functions

Saba Lepsveridze, Allen Lin

Let $[q] = {0, 1, \dots, q - 1}$ , let $I^ [q]$ denote the simplex of probability measures on $[q]$ , and let $I^^{3}$ denote the Lebesgue measure normalized on $I^ [q]$ . We prove that for a…

math.PR2026

Sharp Threshold for the Convergence of Nonstationary Averaging

Saba Lepsveridze, Elchanan Mossel

We study non-stationary averaging processes, where each term of a sequence is a weighted average of previous terms, namely $a_{n + 1} = \sum_{j = 1}^{n} p_{n} (j) a_{j}$ . Our results extend c…