32 citations · 55 across the 6 of their papers we have counts for
6 papers
Pick-up Sticks and the Fibonacci Factorial
Aidan Sudbury, Arthur Sun, David Treeby +1
We present a variation of the broken stick problem in which stick lengths are sampled uniformly at random. We prove that the probability that no three sticks can form a triangl…
The mixing advantage is less than 2
Kais Hamza, Peter Jagers, Aidan Sudbury +1
Corresponding to independent non-negative random variables , are values , where each is the expected value of the maximum of independent cop…
The expected duration of random sequential adsorption
Aidan Sudbury
When gas molecules bind to a surface they may do so in such a way that the adsorption of one molecule inhibits the arrival of others. We consider random sequential adsorption in wh…
Some results for poisoning in a catalytic model
Jeffrey E. Steif, Aidan Sudbury
We obtain new results concerning poisoning/nonpoisoning in a catalytic model which has previously been introduced and studied. We show that poisoning can occur even when the arriva…
Exact and approximate results for deposition and annihilation processes on graphs
Mathew D. Penrose, Aidan Sudbury
We consider random sequential adsorption processes where the initially empty sites of a graph are irreversibly occupied, in random order, either by monomers which block neighboring…
Absorption problems for quantum walks in one dimension
Norio Konno, Takao Namiki, Takahiro Soshi +1
This paper treats absorption problems for the one-dimensional quantum walk determined by a 2 times 2 unitary matrix U on a state space {0,1,...,N} where N is finite or infinite by…