Hypercontractivity on the symmetric group
The hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more. So far, variants of this inequality have been proved mainly for product spaces, which raises the question of whether anal...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2024-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423001184/type/journal_article |
| _version_ | 1827387600966516736 |
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| author | Yuval Filmus Guy Kindler Noam Lifshitz Dor Minzer |
| author_facet | Yuval Filmus Guy Kindler Noam Lifshitz Dor Minzer |
| author_sort | Yuval Filmus |
| collection | DOAJ |
| description | The hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more. So far, variants of this inequality have been proved mainly for product spaces, which raises the question of whether analogous results hold over non-product domains. |
| first_indexed | 2024-03-08T16:04:34Z |
| format | Article |
| id | doaj.art-8927a1e9e0834009bad09e89e6dd0ab8 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-03-08T16:04:34Z |
| publishDate | 2024-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-8927a1e9e0834009bad09e89e6dd0ab82024-01-08T07:51:32ZengCambridge University PressForum of Mathematics, Sigma2050-50942024-01-011210.1017/fms.2023.118Hypercontractivity on the symmetric groupYuval Filmus0https://orcid.org/0000-0002-1739-0872Guy Kindler1https://orcid.org/0000-0002-3384-3720Noam Lifshitz2https://orcid.org/0000-0003-0437-6040Dor Minzer3https://orcid.org/0000-0002-8093-1328Technion — Israel institute of Technology, The Henry & Marilyn Taub Faculty of Computer Science and Faculty of Mathematics, Technion City, Haifa 32000, Israel; E-mail:Hebrew University of Jerusalem, Rachel and Selim Benin School of Computer Science and Engineering, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel; E-mail:Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel; E-mail:Massachusetts Institute of Technology, Department of Mathematics, 182 Memorial Dr, Cambridge, MA 02139, United States; E-mail:The hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more. So far, variants of this inequality have been proved mainly for product spaces, which raises the question of whether analogous results hold over non-product domains.https://www.cambridge.org/core/product/identifier/S2050509423001184/type/journal_article06E3020B05 |
| spellingShingle | Yuval Filmus Guy Kindler Noam Lifshitz Dor Minzer Hypercontractivity on the symmetric group Forum of Mathematics, Sigma 06E30 20B05 |
| title | Hypercontractivity on the symmetric group |
| title_full | Hypercontractivity on the symmetric group |
| title_fullStr | Hypercontractivity on the symmetric group |
| title_full_unstemmed | Hypercontractivity on the symmetric group |
| title_short | Hypercontractivity on the symmetric group |
| title_sort | hypercontractivity on the symmetric group |
| topic | 06E30 20B05 |
| url | https://www.cambridge.org/core/product/identifier/S2050509423001184/type/journal_article |
| work_keys_str_mv | AT yuvalfilmus hypercontractivityonthesymmetricgroup AT guykindler hypercontractivityonthesymmetricgroup AT noamlifshitz hypercontractivityonthesymmetricgroup AT dorminzer hypercontractivityonthesymmetricgroup |