
Complexity Measures on the Symmetric Group and Beyond
We extend the definitions of complexity measures of functions to domains...
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Hypercontractivity on the symmetric group
The hypercontractive inequality is a fundamental result in analysis, wit...
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Explicit SoS lower bounds from highdimensional expanders
We construct an explicit family of 3XOR instances which is hard for O(√(...
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MaxSAT Resolution and Subcube Sums
We study the MaxRes rule in the context of certifying unsatisfiability. ...
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Asymptotic performance of the GrimmettMcDiarmid heuristic
Grimmett and McDiarmid suggested a simple heuristic for finding stable s...
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AND Testing and Robust Judgement Aggregation
A function f{0,1}^n→{0,1} is called an approximate ANDhomomorphism if c...
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QuerytoCommunication Lifting Using LowDiscrepancy Gadgets
Lifting theorems are theorems that relate the query complexity of a func...
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Querytocommunication lifting for BPP using inner product
We prove a new querytocommunication lifting for randomized protocols, ...
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Biasing Boolean Functions and Collective CoinFlipping Protocols over Arbitrary Product Distributions
The seminal result of Kahn, Kalai and Linial shows that a coalition of O...
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The entropy of lies: playing twenty questions with a liar
`Twenty questions' is a guessing game played by two players: Bob thinks ...
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A logSobolev inequality for the multislice, with applications
Let κ∈N_+^ℓ satisfy κ_1 + ... + κ_ℓ = n and let U_κ denote the "multisli...
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FKN theorem for the multislice, with applications
The FriedgutKalaiNaor (FKN) theorem states that if f is a Boolean func...
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Boolean functions on highdimensional expanders
We initiate the study of Boolean function analysis on highdimensional e...
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Boolean constant degree functions on the slice are juntas
We show that a Boolean degree d function on the slice [n]k = { (x_1,...,...
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Boolean constant degree functions on the slice are junta
We show that a Boolean degree d function on the slice [n]k = { (x_1,...,...
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Low degree almost Boolean functions are sparse juntas
Nisan and Szegedy showed that low degree Boolean functions are juntas. K...
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Agreement tests on graphs and hypergraphs
Agreement tests are a generalization of low degree tests that capture a ...
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Yuval Filmus
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