53 citations · 144 across the 29 of their papers we have counts for
3 papers · 1 filter
A binomial splitting process in connection with corner parking problems
Michael Fuchs, Hsien-Kuei Hwang, Yoshiaki Itoh +1
A special type of binomial splitting process is studied. Such a process can be used to model a high-dimensional corner parking problem, as well as the depth of random PATRICIA trie…
An analytic approach to the asymptotic variance of trie statistics and related structures
Michael Fuchs, Hsien-Kuei Hwang, Vytas Zacharovas
We develop analytic tools for the asymptotics of general trie statistics, which are particularly advantageous for clarifying the asymptotic variance. Many concrete examples are dis…
Limit laws of the coefficients of polynomials with only unit roots
Hsien-Kuei Hwang, Vytas Zacharovas
We consider sequences of random variables whose probability generating functions are polynomials all of whose roots lie on the unit circle. The distribution of such random variable…