Outputs (3)

Bak-Sneppen-type models and rank-driven processes (2011)
Journal Article
Grinfeld, M., Knight, P. A., & Wade, A. R. (2011). Bak-Sneppen-type models and rank-driven processes. Physical review E: Statistical, nonlinear, and soft matter physics, 84(4), Article 041124. https://doi.org/10.1103/physreve.84.041124

The Bak-Sneppen model is a well-known stochastic model of evolution that exhibits self-organized criticality; only a few analytical results have been established for it so far. We report a surprising connection between Bak-Sneppen-type models and mor... Read More about Bak-Sneppen-type models and rank-driven processes.

Random walk with barycentric self-interaction (2011)
Journal Article
Comets, F., Menshikov, M. V., Volkov, S., & Wade, A. R. (2011). Random walk with barycentric self-interaction. Journal of Statistical Physics, 143(5), 855-888. https://doi.org/10.1007/s10955-011-0218-7

We study the asymptotic behaviour of a d-dimensional self-interacting random walk (Xn)n∈ℕ (ℕ:={1,2,3,…}) which is repelled or attracted by the centre of mass of its previous trajectory. The walk’s trajectory (X1,…,Xn) models a random polymer chain in... Read More about Random walk with barycentric self-interaction.

The simple harmonic urn (2011)
Journal Article
Crane, E., Georgiou, N., Volkov, S., Wade, A. R., & Waters, R. J. (2011). The simple harmonic urn. Annals of Probability, 39(6), 2119-2177. https://doi.org/10.1214/10-aop605

We study a generalized Pólya urn model with two types of ball. If the drawn ball is red, it is replaced together with a black ball, but if the drawn ball is black it is replaced and a red ball is thrown out of the urn. When only black balls remain, t... Read More about The simple harmonic urn.