Hypercontractivity on the symmetric group

Orthogonal functions on some permutation groups

C. F. Dunkl · 1979

Earlier work this paper cites.

Algebraic combinatorics. I

E. Bannai and T. Ito · 1984

Earlier work this paper cites.

Time to reach stationarity in the Bernoulli–Laplace diffusion model

P. Diaconis and M. Shahshahani · 1987

Earlier work this paper cites.

The influence of variables on Boolean functions

J. Kahn, G. Kalai, and N. Linial · 1988

Earlier work this paper cites.

Boolean functions with low average sensitivity depend on few coordinates

E. Friedgut · 1998

Earlier work this paper cites.

Logarithmic Sobolev inequality for some models of random walks

T.-Y. Lee and H.-T. Yau · 1998

Earlier work this paper cites.

Sharp thresholds of graph properties, and the k k -SAT problem

E. Friedgut and J. Bourgain · 1999

Earlier work this paper cites.

On the distribution of the Fourier spectrum of Boolean functions

J. Bourgain · 2002

Earlier work this paper cites.

On the power of unique 2-prover 1-round games

S. Khot · 2002

Earlier work this paper cites.

Noise stability of functions with low influences: invariance and optimality

E. Mossel, R. O’Donnell, and K. Oleszkiewicz · 2005

Cited alongside, same era.

Quasirandom groups

W. T. Gowers · 2008

Cited alongside, same era.

Shadows and intersections: stability and new proofs

P. Keevash · 2008

Cited alongside, same era.

Intersecting families of permutations

D. Ellis, E. Friedgut, and H. Pilpel · 2011

Cited alongside, same era.

Representation theory: a first course

W. Fulton and J. Harris · 2013

Cited alongside, same era.

KKL, Kruskal-Katona, and monotone nets

R. O’Donnell and K. Wimmer · 2013

Cited alongside, same era.

Analysis of boolean functions

R. O’Donnell · 2014

Pseudorandom sets in grassmann graph have near-perfect expansion

S. Khot, D. Minzer, and M. Safra · 2018

Later among the works it cites.

On rich $2$-to-$1$ games

M. Braverman, S. Khot, and D. Minzer · 2019

Later among the works it cites.

Harmonicity and invariance on slices of the Boolean cube

Y. Filmus and E. Mossel · 2019

Later among the works it cites.

A log-sobolev inequality for the multislice, with applications

Y. Filmus, R. O’Donnell, and X. Wu · 2019

Later among the works it cites.

Hypercontractivity for global functions and sharp thresholds

Original

P. Keevash, N. Lifshitz, E. Long, and D. Minzer · 2019

Later among the works it cites.

Noise sensitivity on the p -biased hypercube

N. Lifshitz and D. Minzer · 2019

Later among the works it cites.