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math.PR2005★ 39 cited
Rounding of continuous random variables and oscillatory asymptotics
Svante Janson
We study the characteristic function and moments of the integer-valued random variable , where is a continuous random variables. The results can be regarded…
math.PR2005★ 1 cited
A point process describing the component sizes in the critical window of the random graph evolution
Svante Janson, Joel Spencer
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n,p) in the critical window p=n^{-1}+lambda n^{-4/3}. In partic…
math.PR2005
Individual displacements in hashing with coalesced chains
Svante Janson
We study the asymptotic distribution of the displacements in hashing with coalesced chains, for both late-insertion and early-insertion. Asymptotic formulas for means and variances…