Gaussian measures in Urbanik's sense and a characterization theorem for abelian groups
G. Fel'dman (1988)
Studia Mathematica
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G. Fel'dman (1988)
Studia Mathematica
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G. Fel'dman (1987)
Studia Mathematica
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T. Byczkowski (1981)
Studia Mathematica
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John Crawford (1977)
Studia Mathematica
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K. Urbanik (1960)
Studia Mathematica
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Renze, John, Wagon, Stan, Wick, Brian (2001)
Experimental Mathematics
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Nathan Keller, Elchanan Mossel, Arnab Sen (2014)
Annales de l'I.H.P. Probabilités et statistiques
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In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete influences, such as the KKL theorem, hold for the new definition in Gaussian space. In this paper we prove Gaussian analogues of two of the central applications of influences: Talagrand’s lower bound on the correlation of increasing subsets of the discrete cube, and the Benjamini–Kalai–Schramm (BKS) noise sensitivity...
Rovskiĭ, V.A. (2004)
Zapiski Nauchnykh Seminarov POMI
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Mátyás Barczy, Gyula Pap (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Manfred G. Madritsch (2008)
Acta Arithmetica
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M. Talagrand (1996)
Geometric and functional analysis
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