activity
20042025
most citedFixation and consensus times on a network: a unified approach

64 citations · 165 across the 10 of their papers we have counts for

collaborators

10 papers

cs.CL2025

Exploiting individual differences to bootstrap communication

Richard A. Blythe, Casimir Fisch

Establishing a communication system is hard because the intended meaning of a signal is unknown to its receiver when first produced, and the signaller also has no idea how that sig…

nlin.PS2023

Learning spatio-temporal patterns with Neural Cellular Automata

Alex D. Richardson, Tibor Antal, Richard A. Blythe +1

Neural Cellular Automata (NCA) are a powerful combination of machine learning and mechanistic modelling. We train NCA to learn complex dynamics from time series of images and PDE t…

cond-mat.stat-mech2013★ 5 cited

Macroscopically-observable probability currents in finite populations

D I Russell, R A Blythe

In finite-size population models, one can derive Fokker-Planck equations to describe the fluctuations of the species numbers about the deterministic behaviour. In the steady state…

cond-mat.stat-mech2010★ 18 cited

Noise-induced dynamical transition in systems with symmetric absorbing states

D. I. Russell, R. A. Blythe

We investigate the effect of noise strength on the macroscopic ordering dynamics of systems with symmetric absorbing states. Using an explicit stochastic microscopic model, we pres…

cond-mat.stat-mech2010★ 28 cited

Ordering in voter models on networks: Exact reduction to a single-coordinate diffusion

R. A. Blythe

We study the voter model and related random-copying processes on arbitrarily complex network structures. Through a representation of the dynamics as a particle reaction process, we…

cond-mat.stat-mech2009★ 20 cited

Continued Fractions and the Partially Asymmetric Exclusion Process

R. A. Blythe, W. Janke, D. A. Johnston +1

We note that a tridiagonal matrix representation of the algebra of the partially asymmetric exclusion process (PASEP) lends itself to interpretation as the transfer matrix for weig…