@InProceedings{linial_et_al:LIPIcs.ITCS.2019.54, author = {Linial, Nati and Pitassi, Toniann and Shraibman, Adi}, title = {{On the Communication Complexity of High-Dimensional Permutations}}, booktitle = {10th Innovations in Theoretical Computer Science Conference (ITCS 2019)}, pages = {54:1--54:20}, 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.2019.54}, URN = {urn:nbn:de:0030-drops-101470}, doi = {10.4230/LIPIcs.ITCS.2019.54}, annote = {Keywords: High dimensional permutations, Number On the Forehead model, Additive combinatorics} }