Weizmann Logo
ECCC
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style



REPORTS > DETAIL:

Paper:

TR24-170 | 5th November 2024 03:03

Corners in Quasirandom Groups via Sparse Mixing

RSS-Feed




TR24-170
Authors: Michael Jaber, Shachar Lovett, Anthony Ostuni
Publication: 5th November 2024 04:53
Downloads: 238
Keywords: 


Abstract:

We improve the best known upper bounds on the density of corner-free sets over quasirandom groups from inverse poly-logarithmic to quasi-polynomial. We make similarly substantial improvements to the best known lower bounds on the communication complexity of a large class of permutation functions in the 3-player Number-on-Forehead model. Underpinning both results is a general combinatorial theorem that extends the recent work of Kelley, Lovett, and Meka (STOC’24), itself a development of ideas from the breakthrough result of Kelley and Meka on three-term arithmetic progressions (FOCS’23).



ISSN 1433-8092 | Imprint