A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons.
Kovalenko, Igor N. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Kovalenko, Igor N. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Căbulea, Lucia (2001)
Acta Universitatis Apulensis. Mathematics - Informatics
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Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Dshalalow, J.H. (ed.) (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Benjamini, Itai, Wilson, David B. (2003)
Electronic Communications in Probability [electronic only]
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S. K. Srinivasan, K. S. S. Iyer (1965)
Applicationes Mathematicae
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Zerner, Martin P.W. (2007)
Electronic Communications in Probability [electronic only]
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Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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Luis A. Santaló (1980)
Stochastica
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Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.
G. Trybuś (1974)
Applicationes Mathematicae
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Kifer, Yuri (1998)
Documenta Mathematica
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François Germinet (2007-2008)
Séminaire Équations aux dérivées partielles
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In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.