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pro vyhledávání: '"Stark, Dudley"'
Genetic mutations are footprints of tumour growth. While mutation data in bulk samples has been used to infer evolutionary parameters hard to measure in vivo, the advent of single-cell data has led to strong interest in the mutational burden distribu
Externí odkaz:
http://arxiv.org/abs/2309.06355
Autor:
Gnedin, Alexander, Stark, Dudley
Given a growth rule which sequentially constructs random permutations of increasing degree, the stochastic process version of the rencontre problem asks what is the limiting proportion of time that the permutation has no fixed points (singleton cycle
Externí odkaz:
http://arxiv.org/abs/2209.12781
Autor:
Gnedin, Alexander, Stark, Dudley
Publikováno v:
In Advances in Applied Mathematics August 2023 149
Akademický článek
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Autor:
Stark, Dudley
Publikováno v:
In Discrete Mathematics September 2022 345(9)
Autor:
Rybarczyk, Katarzyna, Stark, Dudley
Random intersection graphs are characterized by three parameters: $n$, $m$ and $p$, where $n$ is the number of vertices, $m$ is the number of objects, and $p$ is the probability that a given object is associated with a given vertex. Two vertices in a
Externí odkaz:
http://arxiv.org/abs/1609.01699
Autor:
Stark, Dudley, Wormald, Nick
We develop a general procedure that finds recursions for statistics counting isomorphic copies of a graph $G_0$ in the common random graph models ${\cal G}(n,m)$ and ${\cal G}(n,p)$. Our results apply when the average degrees of the random graphs are
Externí odkaz:
http://arxiv.org/abs/1608.05193
Autor:
Granovsky, Boris L., Stark, Dudley
A theorem of Meinardus provides asymptotics of the number of weighted partitions under certain assumptions on associated ordinary and Dirichlet generating functions. The ordinary generating functions are closely related to Euler's generating function
Externí odkaz:
http://arxiv.org/abs/1311.2254
Autor:
Granovsky, Boris, Stark, Dudley
Meinardus proved a general theorem about the asymptotics of the number of weighted partitions, when the Dirichlet generating function for weights has a single pole on the positive real axis. Continuing \cite{GSE}, we derive asymptotics for the number
Externí odkaz:
http://arxiv.org/abs/1102.5608
In this paper we find asymptotic enumerations for the number of line graphs on $n$-labelled vertices and for different types of related combinatorial objects called 2-covers. We find that the number of 2-covers, $s_n$, and proper 2-covers, $t_n$, on
Externí odkaz:
http://arxiv.org/abs/0707.0664