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

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)

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Publication Details

Journal
The Electronic Journal of Combinatorics
Published
2026-08-28
DOI
https://doi.org/10.37236/15288
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
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article

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

Boris Pittel
The Electronic Journal of Combinatorics
Limits and Structures in Graph Theory
article

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

Boris Pittel
article en

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)

The Electronic Journal of CombinatoricsVol. 33(3)
The Ohio State University (US)
Openalex Percentile: Top 91%
Limits and Structures in Graph Theory
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On Increasing Sequences Formed by Points from a Random Finite Subset of a Hypercube — Boris Pittel · The Electronic Journal of Combinatorics (2026) | TGRS Research Map | TGRS