Anticoncentration of random vectors via the strong perfect graph theorem

Tomas Juškevičius; Valentas Kurauskas

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arXiv · 2306.11904

Anticoncentration of random vectors via the strong perfect graph theorem

Tomas Juškevičius·Valentas Kurauskas

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Abstract

In this paper we give anticoncentration bounds for sums of independent random vectors in finite-dimensional vector spaces. In particular, we asymptotically establish a conjecture of Leader and Radcliffe (1994) and a question of Jones (1978). The highlight of this work is an application of the strong perfect graph theorem by Chudnovsky, Robertson, Seymour and Thomas (2003) in the context of anticoncentration.

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Tomas Juškevičius, Valentas Kurauskas. 2023-06-20. Anticoncentration of random vectors via the strong perfect graph theorem. https://arxiv.org/abs/2306.11904

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