On Increasing Sequences Formed by Points from a Random Finite Subset of a Hypercube

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Authors: Boris G. Pittel
Cited by: 0

Abstract

Consider $S$, a set of $n$ points chosen uniformly at random and independently from the unit hypercube of dimension $t>2$. Order $S$ by using the Cartesian product of the $t$ standard orders of $[0,1]$. We determine a constant $\bar x(t)

Fields of Study & Subjects

Limits and Structures in Graph Theory Mathematical Approximation and Integration Point processes and geometric inequalities

Publication details

Journal / source
The Electronic Journal of Combinatorics
Volume
33
Issue
3
Publication date
28 August 2026
Language
EN