26 citations · 35 across the 9 of their papers we have counts for
13 papers
Optimal Coupling of Jumpy Brownian Motion on the Circle
Stephen B. Connor, Roberta Merli
Consider a Brownian motion on the circumference of the unit circle, which jumps to the opposite point of the circumference at incident times of an independent Poisson process of ra…
Integrals of incomplete beta functions, with applications to order statistics, random walks and string enumeration
Stephen B. Connor, Christopher J. Fewster
We study the probability that one beta-distributed random variable exceeds the maximum of two others, allowing all three to have general parameters. This amounts to studying Euler…
Cutoff for a One-sided Transposition Shuffle
Michael E. Bate, Stephen B. Connor, Oliver Matheau-Raven
We introduce a new type of card shuffle called one-sided transpositions. At each step a card is chosen uniformly from the pack and then transposed with another card chosen uniforml…
Omnithermal Perfect Simulation for Multi-server Queues
Stephen B. Connor
A number of perfect simulation algorithms for multi-server First Come First Served queues have recently been developed. Those of Connor and Kendall (2015) and Blanchet, Pei, and Si…
Mixing times for exclusion processes on hypergraphs
Stephen B. Connor, Richard Pymar
We introduce a natural extension of the exclusion process to hypergraphs and prove an upper bound for its mixing time. In particular we show the existence of a constant such th…
Mixing Time and Cutoff for a Random Walk on the Ring of Integers mod
Michael E. Bate, Stephen B. Connor
We analyse a random walk on the ring of integers mod , which at each time point can make an additive `step' or a multiplicative `jump'. When the probability of making a jump ten…