The mixing advantage is less than 2 (2008)
Hamza, Kais, Jagers, Peter, Sudbury, Aidan, Tokarev, Daniel
Corresponding to $n$ independent non-negative random variables $X_1,...,X_n$, are values $M_1,...,M_n$, where each $M_i$ is the expected value of the maximum of $n$ independent copies of $X_i$. We...
The expected duration of random sequential adsorption (2008)
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 which the empty sites...
Some results for poisoning in a catalytic model (2006)
Steif, Jeffrey E.; Chalmers University Of Technology; Steif@math.chalmers.se, Sudbury, Aidan; Monash University; Aidan.sudbury@sci.monash.edu.au
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 arrival rate of one gas...
Some results for poisoning in a catalytic model (2006)
Steif, Jeffrey E., Sudbury, Aidan
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 arrival rate of one gas...
Rigorous lower bounds for extinction probabilities of the contact process (2005)
Positive correlations for extinction probabilities in the contact process are used to obtain rigorous lower bounds.
Exact and approximate results for deposition and annihilation processes on graphs (2005)
Penrose, Mathew D., Sudbury, Aidan
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 sites, or by...
Exact and approximate results for deposition and annihilation processes on graphs (2005)
Penrose, Mathew D., Sudbury, Aidan
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 sites, or by...
The annihilating process on random trees and the square lattice (2004)
An annihilating process is an interacting particle system in which the only interaction is that a particle may kill a neighbouring particle. Since there is no birth and no movement, once a particle...
Inclusion-exclusion methods for treating annihilating and deposition processes (2002)
We consider one-dimensional processes in which particles annihilate their neighbours, grow until they meet their neighbours or are deposited onto surfaces. All of the models considered have the...
Absorption problems for quantum walks in one dimension (2002)
Konno, Norio, Namiki, Takao, Soshi, Takahiro, Sudbury, Aidan
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 using a new path...
Rigorous lower bounds for the critical infection rate in the diffusive contact process (2001)
The contact process is an interacting particle system which models a spatially restricted infection. In the basic contact process the infection can only spread to an uninfected neighbour, but the...
The annihilating process (2001)
O'Hely, Martin, Sudbury, Aidan
An annihilating process is an interacting particle system in which the only interaction is that a particle may kill a neighbouring particle. Since there is no birth and no movement, once a particle...
The survival of nonattractive interacting particle systems on Z (2000)
We consider interacting particle systems on $Z$ which allow five types of pairwise interaction: Annihilation, Birth, Coalescence, Death and Exclusion with corresponding rates a, b,c, d, e . We show...
Two species (designated by 0's and 1's) compete for territory on a lattice according to the rules of a voter model, except that the 0's jump d0 spaces and the 1's jump d1 spaces. When d0 = d1 = 1 the...
Duality has proved to be a powerful technique in the study of interacting particle systems (IPS). This concept can be enlarged and a “quasi-duality” defined between various pairs of IPS...
A model for spatial conflict (1973)
CLIFFORD, PETER, SUDBURY, AIDAN
SUMMARY Two species compete for territory along their mutual boundary. The species are fairly matched and the result of conflict is the invasion by one of the species of territory held by the other....
Dualities for the Domany-Kinzel model
Sudbury, Aidan, 香取, 眞理, カトリ, マコト, Katori, Makoto, 今野, 紀雄, コンノ, ノリオ, ...