Influences in Product Spaces: KKL and BKKKL Revisited
Combinatorics, Probability and Computing
Noise stability of functions with low in.uences invariance and optimality
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Some topics in analysis of boolean functions
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Journal of Combinatorial Theory Series A
Approximating the influence of monotone boolean functions in O(√n) query complexity
APPROX'11/RANDOM'11 Proceedings of the 14th international workshop and 15th international conference on Approximation, randomization, and combinatorial optimization: algorithms and techniques
A Quantitative Version of the Gibbard-Satterthwaite Theorem for Three Alternatives
SIAM Journal on Computing
Approximate judgement aggregation
WINE'11 Proceedings of the 7th international conference on Internet and Network Economics
Survey: Colouring, constraint satisfaction, and complexity
Computer Science Review
Approximating the Influence of Monotone Boolean Functions in O(√n) Query Complexity
ACM Transactions on Computation Theory (TOCT)
On coalitions and stable winners in plurality
WINE'12 Proceedings of the 8th international conference on Internet and Network Economics
Majority is stablest: discrete and SoS
Proceedings of the forty-fifth annual ACM symposium on Theory of computing
On the structure of boolean functions with small spectral norm
Proceedings of the 5th conference on Innovations in theoretical computer science
Approximately classic judgement aggregation
Annals of Mathematics and Artificial Intelligence
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We describe a Fourier-theoretic formula for the probability of rational outcomes for a social choice function on three alternatives. Several applications are given.