Asymptotics for Sina\u {i} excursions
S Donderwinkel, B Kolesnik - arXiv preprint arXiv:2403.12941, 2024 - arxiv.org
We study a class of random polymers, introduced by Sina\u {\i}, which are related to
persistence probabilities in integrated simple random walk bridges. We find the precise …
persistence probabilities in integrated simple random walk bridges. We find the precise …
Tournaments and random walks
S Donderwinkel, B Kolesnik - arXiv preprint arXiv:2403.12940, 2024 - arxiv.org
We study the relationship between tournaments and random walks. This connection was
observed by Moser, who conjectured that the number of score sequences $ S_n\sim C4 …
observed by Moser, who conjectured that the number of score sequences $ S_n\sim C4 …