Large deviations from the circular law
Gérard Ben Arous, Ofer Zeitouni (1998)
ESAIM: Probability and Statistics
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Displaying similar documents to “Limit theorems for the number of maxima in random samples from planar regions.”
Large deviations from the circular law
The law of the iterated logarithm for a triangular array of empirical processes.
Arcones, Miguel A. (1997)
Electronic Journal of Probability [electronic only]
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A note on the asymptotic behavior of the heights in -trees for large.
Knessl, Charles, Szpankowski, Wojciech (2000)
The Electronic Journal of Combinatorics [electronic only]
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A necessary and sufficient condition for the -coalescent to come down from the infinity.
Schweinsberg, Jason (2000)
Electronic Communications in Probability [electronic only]
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Berry-Esseen bounds for the number of maxima in planar regions.
Bai, Zhi-Dong, Hwang, Hsien-Kuei, Tsai, Tsung-Hsi (2003)
Electronic Journal of Probability [electronic only]
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Asymptotic behavior of tail density for sum of correlated lognormal variables.
Gao, Xin, Xu, Hong, Ye, Dong (2009)
International Journal of Mathematics and Mathematical Sciences
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Precise asymptotics in the law of iterated logarithm for moving average process under dependence.
Li, Jie (2011)
Journal of Inequalities and Applications [electronic only]
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Threshold functions for the bipartite Turán property.
Godbole, Anant P., Lamorte, Ben, Sandquist, Erik Jonathan (1997)
The Electronic Journal of Combinatorics [electronic only]
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On some densities in the set of permutations.
Manstavicius, Eugenijus (2010)
The Electronic Journal of Combinatorics [electronic only]
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On differences of two squares
Manfred Kühleitner, Werner Nowak (2006)
Open Mathematics
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The arithmetic function ρ(n) counts the number of ways to write a positive integer n as a difference of two squares. Its average size is described by the Dirichlet summatory function Σn≤x ρ(n), and in particular by the error term R(x) in the corresponding asymptotics. This article provides a sharp lower bound as well as two mean-square results for R(x), which illustrates the close connection between ρ(n) and the number-of-divisors function d(n).
Cauchy means of the Popoviciu type.
Anwar, Matloob, Latif, Naveed, Pečarić, J. (2009)
Journal of Inequalities and Applications [electronic only]
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Line vortices in the U(1) Higgs model
Tristan Rivière (1996)
ESAIM: Control, Optimisation and Calculus of Variations
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