Stanisław Cichomski

most citedMaximal Spread of Coherent Distributions: a Geometric and Combinatorial Perspective

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2022

A combinatorial proof of the Burdzy-Pitman conjecture

Stanisław Cichomski, Fedor Petrov

We prove a sharp upper bound for the number of high degree differences in bipartite graphs: let $(U, V, E)$ be a bipartite graph with $U = {u_{1}, u_{2}, \dots, u_{n}}$ and $V=\{v_1, v_…

math.PR2020★ 2 cited

Maximal Spread of Coherent Distributions: a Geometric and Combinatorial Perspective

Stanisław Cichomski

We discuss some open problems concerning the maximal spread of coherent distributions. We prove a sharp bound on $E ∣ X - Y ∣^{α}$ for $(X, Y)$ coherent and $α \leq 2$ , and establis…