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Threshold functions for incidence properties in finite vector spaces

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Title
Threshold functions for incidence properties in finite vector spaces
Author(s)
Kim, J.H.; Ben Lund; Pham, T.; Yoo, S.
Publication Date
2023-03
Journal
Finite Fields and their Applications, v.87
Publisher
Academic Press Inc.
Abstract
The main purpose of this paper is to provide threshold functions for the events that a random subset of the points of a finite vector space has certain properties related to point-flat incidences. Specifically, we consider the events that there is an ℓ-rich m-flat with regard to a random set of points in Fqn, the event that a random set of points is an m-blocking set, and the event that there is an incidence between a random set of points and a random set of m-flats. One of our key ingredients is a stronger version of a recent result obtained by Chen and Greenhill (2021). © 2022 Elsevier Inc.
URI
https://pr.ibs.re.kr/handle/8788114/13223
DOI
10.1016/j.ffa.2022.102149
ISSN
1071-5797
Appears in Collections:
Pioneer Research Center for Mathematical and Computational Sciences(수리 및 계산과학 연구단) > Discrete Mathematics Group(이산 수학 그룹) > 1. Journal Papers (저널논문)
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