The spectral laws of Hermitian block-matrices with large random blocks.
Oraby, Tamer F. (2007)
Electronic Communications in Probability [electronic only]
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Oraby, Tamer F. (2007)
Electronic Communications in Probability [electronic only]
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Iványi, Antal (2009)
Acta Universitatis Sapientiae. Mathematica
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Laurent Bruneau, Alain Joye, Marco Merkli (2010)
Annales de l'I.H.P. Probabilités et statistiques
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Let be a product of independent, identically distributed random matrices , with the properties that is bounded in , and that has a deterministic (constant) invariant vector. Assume that the probability of having only the simple eigenvalue 1 on the unit circle does not vanish. We show that is the sum of a fluctuating and a decaying process. The latter converges to zero almost surely, exponentially fast as →∞. The fluctuating part converges...
André Adler (2017)
Open Mathematics
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This paper establishes conditions that secure the almost sure upper and lower bounds for a particular normalized weighted sum of independent nonnegative random variables. These random variables do not possess a finite first moment so these results are not typical. These mild conditions allow us to show that the almost sure upper limit is infinity while the almost sure lower bound is one.
Zerner, Martin P.W. (2007)
Electronic Communications in Probability [electronic only]
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Istvan Fazekas, Alexey Chuprunov, Jozsef Turi (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Random allocations of balls into boxes are considered. Properties of the number of boxes containing a fixed number of balls are studied. A moment inequality is obtained. A merge theorem with Poissonian accompanying laws is proved. It implies an almost sure limit theorem with a mixture of Poissonian laws as limiting distribution. Almost sure versions of the central limit theorem are obtained when the parameters are in the central domain.
Guionnet, Alice (2004)
Probability Surveys [electronic only]
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Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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István Fazekas, Alexey Chuprunov, József Túri (2011)
Annales UMCS, Mathematica
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Random allocations of balls into boxes are considered. Properties of the number of boxes containing a fixed number of balls are studied. A moment inequality is obtained. A merge theorem with Poissonian accompanying laws is proved. It implies an almost sure limit theorem with a mixture of Poissonian laws as limiting distribution. Almost sure versions of the central limit theorem are obtained when the parameters are in the central domain.
Igor D. Chueshov, Pierre-A. Vuillermot (1998)
Annales de l'I.H.P. Analyse non linéaire
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Hartmut Lanzinger (2010)
ESAIM: Probability and Statistics
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We prove a strong law of large numbers for moving averages of independent, identically distributed random variables with certain subexponential distributions. These random variables show a behavior that can be considered intermediate between the classical strong law and the Erdös-Rényi law. We further show that the difference from the classical behavior is due to the influence of extreme terms.