Csaba Bir'o

activity

20152022

most citedRamsey properties of products of chains

1 citations · 1 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CO2020★ 1 cited

Ramsey properties of products of chains

Csaba Biró, Sida Wan

Let $k$ denote the totally ordered set (or chain) on $k$ elements. The product $k^{t} = k \times \dots \times k$ is a poset called a grid. This paper d…

math.PR2020

Weak independence of events and the converse of the Borel--Cantelli Lemma

Csaba Biró, Israel R. Curbelo

The converse of the Borel-Cantelli Lemma states that if ${A_{i}}_{i = 1}^{\infty}$ is a sequence of independent events such that $\sum P (A_{i}) = \infty$ , then almost surely infinitely man…

math.CO2020

Random bipartite posets and extremal problems

Csaba Biró, Peter Hamburger, H. A. Kierstead +3

Previously, Erdős, Kierstead and Trotter investigated the dimension of random height~ $2$ partially ordered sets. Their research was motivated primarily by two goals: (1)~analyzing…