3 papers
math.CO2026
Poisson approximations of the number of fixed points in random multiset permutations
Dudley Stark
For ordinary permutations on letters, the distribution of the number of fixed points of random permutations is well known to approach the Poisson distribution in total var…
math.PR2026
A Chinese restaurant process for multiset permutations
Dudley Stark
Multisets are like sets, except that they can contain multiple copies of their elements. If there are copies of , , in multiset , then there are $\bino…
q-bio.PE2024
Single-cell mutational burden distributions in birth-death processes
Christo Morison, Dudley Stark, Weini Huang
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-…