Arsenii Sagdeev

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20202026

most citedAll finite sets are Ramsey in the maximum norm

12 citations · 35 across the 18 of their papers we have counts for

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math.MG2023★ 4 cited

A note on Borsuk's problem in Minkowski spaces

Andrei M. Raigorodskii, Arsenii Sagdeev

In 1993, Kahn and Kalai famously constructed a sequence of finite sets in $d$ -dimensional Euclidean spaces that cannot be partitioned into less than $(1.203 \dots + o (1))^{d}$ …

math.MG2022★ 7 cited

Odd-distance and right-equidistant sets in the maximum and Manhattan metrics

Alexander Golovanov, Andrey Kupavskii, Arsenii Sagdeev

We solve two related extremal-geometric questions in the $n -$ dimensional space $R_{\infty}^{n}$ equipped with the maximum metric. First, we prove that the maximum size of a…