Daniel Il'kovič

activity

20222026

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3 papers · 1 filter

math.PR2026

Extremal persistence probabilities of exchangeable sign-invariant random variables

Daniel Iľkovič, Jun Yan

Let $(X_{1}, \dots, X_{n})$ be a random variable in $(R ∖ {0})^{n}$ that is both exchangeable and sign-invariant. For every $k \in [n]$ , let $S_{k} = \sum_{i = 1}^{k} X_{i}$ . Define t…

math.CO2026

$L_{2}$ Turán Problems for Small Tournaments and Stability

Daniel Iľkovič

We investigate the $L_{2}$ Turán problems for various small directed graphs, specifically focusing on self-converse tournaments and stability versions. First, we determine the exact…

math.CO2026

Arithmetic progressions in a random set on a budget

Jan Hladký, Daniel Iľkovič, Jared León +1

A restricted-budget version of the random graph process, introduced by Frieze, Krivelevich, and Michaeli in 2025, studies the construction of structures by an online player who can…

Extremal persistence probabilities of exchangeable sign-invariant random variables

L2​ Turán Problems for Small Tournaments and Stability

Arithmetic progressions in a random set on a budget

$L_{2}$ Turán Problems for Small Tournaments and Stability