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In a recent work with Kindler and Wimmer we proved an invariance principle for the slice for low-influence, low-degree functions.
Probability inequalities for sums of bounded random variables
Wassily Hoeffding · 1963
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Inverse of the Vandermonde matrix with applications
L. Richard Turner · 1966
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Étude des coefficients Fourier des fonctions de L p ( G ) L^{p}(G)
Aline Bonami · 1970
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Inequalities in Fourier analysis
William Beckner · 1975
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Association schemes and t t -designs in regular semilattices
Phillipe Delsarte · 1976
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A Krawtchouk polynomial addition theorem and wreath products of symmetric groups
Charles F. Dunkl · 1976
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A characteristic free approach to the representation theory of S n S_{n}
Gordon D. James · 1977
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Orthogonal functions on some permutation groups
Charles F. Dunkl · 1979
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Algebraic Combinatorics I: Association Schemes
Eiichi Bannai and Tatsuro Ito · 1984
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Harmonics on posets
Dennis Stanton · 1985
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Group representations in probability and statistics
Persi Diaconis · 1988
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Almost optimal lower bounds for small depth circuits
Johan Håstad · 1989
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Variations on differential posets
Richard P. Stanley · 1990
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Constant depth circuits, fourier transform and learnability
N. Linial, Y. Mansour, and N. Nisan · 1993
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Decomposition of Dirichlet processes and its application
Terry J. Lyons and T. S. Zhang · 1994
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Michel Talagrand · 1994
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Persi Diaconis and Laurent Saloff-Coste · 1996
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The average sensitivity of bounded-depth circuits
Ravi B Boppana · 1997
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Tzong-Yau Lee and Horng-Tzer Yau · 1998
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Distributional and L q L^{q} norm inequalities for polynomials over convex bodies in ℝ n \mathbb{R}^{n}
Algebraic Combinatorics and Coinvariant Spaces
Franćois Bergeron · 2009
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Representation theory of the symmetric groups
Tullio Ceccherini-Silberstein, Fabio Scarabotti, and Filippo Tolli · 2010
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Noise stability of functions with low influences: Invariance and optimality
Elchanan Mossel, Ryan O’Donnell, and Krzysztof Oleszkiewicz · 2010
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Symmetric chains, Gelfand–Tsetlin chains, and the Terwilliger algebra of the binary Hamming scheme
Murali K. Srinivasan · 2011
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Analysis of Boolean functions
Ryan O’Donnell · 2014
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Low influence functions over slices of the Boolean hypercube depend on few coordinates
Karl Wimmer · 2014
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Guy Kindler and Shmuel Safra · 2004
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Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
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