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math.PR2026
On tail behavior of infinite sums of independent indicators
Alexander Iksanov, Valeriya Kotelnikova
Let be an infinite sum of the indicators of independent events. We investigate a precise (as opposed to logarithmic) first-order asymptotic behavior of th…
math.PR2026
First passage times for decoupled random walks
Alexander Iksanov, Zakhar Kabluchko, Vitali Wachtel
Motivated by a connection to the infinite Ginibre point process, decoupled random walks were introduced in a recent article Alsmeyer, Iksanov and Kabluchko (2025). The decoupled ra…