An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games

David Ellis; Guy Kindler; Noam Lifshitz

doi:10.1145/3564246.3585116

An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games

David Ellis
, Guy Kindler
, Noam Lifshitz

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

We prove an analogue of Bonami's (hypercontractive) lemma for complex-valued functions on L ( , ), where and are vector spaces over a finite field. This inequality is useful for functions on L ( , ) whose 'generalised influences' are small, in an appropriate sense.

Original language	English
Title of host publication	STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing
Editors	Barna Saha, Rocco A. Servedio
Publisher	Association for Computing Machinery
Pages	656-660
Number of pages	5
ISBN (Electronic)	9781450399135
DOIs	https://doi.org/10.1145/3564246.3585116
State	Published - 2 Jun 2023
Event	55th Annual ACM Symposium on Theory of Computing, STOC 2023 - Orlando, United States Duration: 20 Jun 2023 → 23 Jun 2023

Publication series

Name	Proceedings of the Annual ACM Symposium on Theory of Computing
ISSN (Print)	0737-8017

Conference

Conference	55th Annual ACM Symposium on Theory of Computing, STOC 2023
Country/Territory	United States
City	Orlando
Period	20/06/23 → 23/06/23

Bibliographical note

Publisher Copyright:
© 2023 Owner/Author.

Keywords

Boolean functions
Fourier
Games
Hypercontractivity

Access to Document

10.1145/3564246.3585116

Cite this

Ellis, D., Kindler, G., & Lifshitz, N. (2023). An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games. In B. Saha, & R. A. Servedio (Eds.), STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing (pp. 656-660). (Proceedings of the Annual ACM Symposium on Theory of Computing). Association for Computing Machinery. https://doi.org/10.1145/3564246.3585116

Ellis, David ; Kindler, Guy ; Lifshitz, Noam. / An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games. STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing. editor / Barna Saha ; Rocco A. Servedio. Association for Computing Machinery, 2023. pp. 656-660 (Proceedings of the Annual ACM Symposium on Theory of Computing).

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Ellis, D, Kindler, G & Lifshitz, N 2023, An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games. in B Saha & RA Servedio (eds), STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing. Proceedings of the Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, pp. 656-660, 55th Annual ACM Symposium on Theory of Computing, STOC 2023, Orlando, United States, 20/06/23. https://doi.org/10.1145/3564246.3585116

An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games. / Ellis, David; Kindler, Guy ; Lifshitz, Noam.
STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing. ed. / Barna Saha; Rocco A. Servedio. Association for Computing Machinery, 2023. p. 656-660 (Proceedings of the Annual ACM Symposium on Theory of Computing).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Ellis D, Kindler G , Lifshitz N. An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games. In Saha B, Servedio RA, editors, STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing. Association for Computing Machinery. 2023. p. 656-660. (Proceedings of the Annual ACM Symposium on Theory of Computing). doi: 10.1145/3564246.3585116

An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games

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Bibliographical note

Keywords

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