41 citations · 98 across the 8 of their papers we have counts for
Showing 2003 · math.PRShow all
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math.PR2003
Asymptotic analysis via Mellin transforms for small deviations in -norm of integrated Brownian sheets
James Allen Fill, Fred Torcaso
We use Mellin transforms to compute a full asymptotic expansion for the tail of the Laplace transform of the squared -norm of any multiply-integrated Brownian sheet. Through r…
math.PR2003★ 41 cited
Limiting distributions for additive functionals on Catalan trees
James Allen Fill, Nevin Kapur
Additive tree functionals represent the cost of many divide-and-conquer algorithms. We derive the limiting distribution of the additive functionals induced by toll functions of the…
math.PR2003★ 18 cited
Transfer Theorems and Asymptotic Distributional Results for m-ary Search Trees
James Allen Fill, Nevin Kapur
We derive asymptotics of moments and identify limiting distributions, under the random permutation model on m-ary search trees, for functionals that satisfy recurrence relations of…