@InProceedings{filmus_et_al:LIPIcs.ITCS.2019.34, author = {Filmus, Yuval and O'Donnell, Ryan and Wu, Xinyu}, title = {{A Log-Sobolev Inequality for the Multislice, with Applications}}, booktitle = {10th Innovations in Theoretical Computer Science Conference (ITCS 2019)}, pages = {34:1--34:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-095-8}, ISSN = {1868-8969}, year = {2019}, volume = {124}, editor = {Blum, Avrim}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2019.34}, URN = {urn:nbn:de:0030-drops-101279}, doi = {10.4230/LIPIcs.ITCS.2019.34}, annote = {Keywords: log-Sobolev inequality, small-set expansion, conductance, hypercontractivity, Fourier analysis, representation theory, Markov chains, combinatorics} }