01993cam  22004218i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000210016208200170018310000280020024501450022826300090037326400700038230000340045233600260048633700280051233800270054049000740056750400410064150502820068250600500096453300950101453800360110958800470114565000260119265000200121870000400123870000360127870000310131477601340134585600440147985600480152320006994RPAM20170928173648.0m      b    000 0 cr/|||||||||||170928s2018    riu     ob    000 0 eng    a9781470441333 (online)  aDLCbengerdacDLCdRPAM00aQA326b.J86 201800a512/.5562231 aJunge, Marius,eauthor.10aHypercontractivity in group Von Neumann algebras /h[electronic resource] cMarius Junge, Carlos Palazuelos, Javier Parcet, Mathilde Perrin.  a1709 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2018.  a1 online resource (pages cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1183  aIncludes bibliographical references.00tIntroductiontChapter 1. The combinatorial methodtChapter 2. Optimal time estimatestChapter 3. Poisson-like lengthstAppendix A. Logarithmic Sobolev inequalitiestAppendix B. The word length in $\mathbb Z_n$tAppendix C. Numerical analysistAppendix D. Technical inequalities1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2017  aMode of access : World Wide Web  aDescription based on print version record. 0aVon Neumann algebras. 0aGroup algebras.1 aPalazuelos, Carlos,d1979-eauthor.1 aParcet, Javier,d1975-eauthor.1 aPerrin, Mathilde,eauthor.0 iPrint version: aJunge, Marius,tHypercontractivity in group Von Neumann algebras /w(DLC)   2017041531x0065-9266z97814704256544 3Contentsuhttp://www.ams.org/memo/1183/4 3Contentsuhttps://doi.org/10.1090/memo/1183