Influences in product spaces: KKL and BKKKL revisited

Combinatorics Probability and Computing

Volumn 13, Issue 1, 2004, Pages 17-29

  Friedgut, Ehud ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; COMPUTER SCIENCE; FOURIER TRANSFORMS; GAME THEORY; PROBABILITY; THEOREM PROVING; VECTORS;

JUNTA-TYPE THEOREMS; PROBABILITY SPACE;

COMBINATORIAL MATHEMATICS;

EID: 3142607398     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548303005832     Document Type: Review

References (15)

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2. Benjamini, I., Kalai, G. and Schramm, O. (1999) Noise sensitivity of boolean functions and applications to percolation. Inst. Hautes Etudes Sci. Publ. Math. 90 5-43.
3. BKKKL: Bourgain, J., Kahn, J., Kalai, G., Katznelson, Y. and Linial, N. (1992) The influence of variables in product spaces. Israel J. Math. 77 55-64.
4. Ben-Or, M. and Linial, N. (1990) Collective coin flipping. In Randomness and Computation (S. Micali, ed.), Academic Press, New York, pp. 91-115. Earlier version: 'Collective coin flipping, robust voting games, and minima of Banzhaf value'. In Proc. 26th IEEE Symp. Foundation of Computer Science (1985), pp. 408-416.
5. Ben-Or, M. and Linial, N. (1990) Collective coin flipping. In Randomness and Computation (S. Micali, ed.), Academic Press, New York, pp. 91-115. Earlier version: 'Collective coin flipping, robust voting games, and minima of Banzhaf value'. In Proc. 26th IEEE Symp. Foundation of Computer Science (1985), pp. 408-416.
6. p(G). Ann. Inst. Fourier (Grenoble) 20 335-402.
7. Dinur, I. and Friedgut, E. Continuous Juntas. In preparation.
8. Friedgut, E. (1998) Boolean functions with low average sensitivity depend on few coordinates. Combinatorica 18 27-36.
9. Friedgut, E. and Kalai, G. (1996) Every monotone graph property has a sharp threshold. Proc. Amer. Math. Soc. 124 2993-3002.
10. KKL: Kahn, J., Kalai, G. and Linial, N. (1988) The influence of variables on Boolean functions. In Proc. 29th Ann. Symp. Foundations of Comp. Sci., Computer Society Press, pp. 68-80.
11. Kalai, G. (2002) A Fourier-theoretic perspective for the Condorcet Paradox and Arrow's Theorem. Adv. Appl. Math. 29 412-426.
12. Lehrer, E. (1988) An axiomatization of the Banzhaf value. Internat. J. Game Theory 17 89-99.
13. Talagrand, M. (1996) How much are increasing sets correlated? Combinatorica 16 243-258.
14. Talagrand, M. (1997) On boundaries and influences. Combinatorica 17 275-285.
15. Talagrand, M. (1994) On Russo's approximate 0-1 law. Ann. Probab. 22 1576-1587