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Trees, Not Cubes: Hypercontractivity, Cosiness, and Noise Stability


 
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1. Title Title of document Trees, Not Cubes: Hypercontractivity, Cosiness, and Noise Stability
 
2. Creator Author's name, affiliation, country Oded Schramm; Microsoft Research
 
2. Creator Author's name, affiliation, country Boris Tsirelson; Tel Aviv University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) hypercontractivity, cosiness, noise stability, noise sensitivity
 
3. Subject Subject classification 60G42, 05C05, 60C05, 60Hxx, 60J10
 
4. Description Abstract Noise sensitivity of functions on the leaves of a binary tree is studied, and a hypercontractive inequality is obtained. We deduce that the spider walk is not noise stable.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 1999-07-22
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1004
 
10. Identifier Digital Object Identifier 10.1214/ECP.v4-1004
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 4
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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