Tootfinder

Im vergangenen Monat war viel los bei #NFDI4Culture, woraus inzwischen etwa der Tagungsbericht zum Forum "Brücken schlagen zwischen Terminologien" entstanden ist:
https://

Im vergangenen Monat war viel los bei #NFDI4Culture, woraus inzwischen etwa der Tagungsbericht zum Forum "Brücken schlagen zwischen Terminologien" entstanden ist:
https://

This https://arxiv.org/abs/2403.12940 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Tournaments and random walks
We study the relationship between tournaments and random walks. This connection was first observed by Erdős and Moser. Winston and Kleitman came close to showing that $S_n=Θ(4^n/n^{5/2})$. Building on this, and works by Takács, these asymptotic bounds were confirmed by Kim and Pittel. In this work, we verify Moser's conjecture that $S_n\sim C4^n/n^{5/2}$, using limit theory for integrated random walk bridges. Moreover, we show that $C$ can be described in terms of random walks. Combining t…