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On the Transition from Heavy Traffic to Heavy Tails for the M/G/1 Queue: The Regularly Varying Case
M/G/1 queue heavy traffi c heavy tails uniform approximations large deviations
2015/7/6
Two of the most popular approximations for the distribution of the steady-state waiting time, W∞, of the M/G/1 queue are the socalled heavy-traffic approximation and heavy-tailed asymptotic, respectiv...
On Long Range Percolation with Heavy Tails
Long range percolation truncation slab percolation
2009/4/28
Consider independent long range percolation on $mathbf{Z}^d$, $dgeq 2$,
where edges of length $n$ are open with
probability $p_n$. We show that if
$limsup_{ntoinfty}p_n>0,$ then there
exists an i...
Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails
random matrices largest eigenvalues Poisson statistics
2009/4/28
We study large Wigner random matrices in the case when the marginal distributions of matrix entries have heavy tails. We prove that the largest eigenvalues of such matrices have Poisson statistics.