7 citations · 23 across the 9 of their papers we have counts for
14 papers
Mixing of the symmetric beta-binomial splitting process on arbitrary graphs
Richard Pymar, Nicolás Rivera
We study the mixing time of the symmetric beta-binomial splitting process on finite weighted connected graphs with vertex set , edge set and posit…
Asymptotic behaviour of the noisy voter model density process
Richard Pymar, Nicolás Rivera
Given a transition matrix indexed by a finite set of vertices, the voter model is a discrete-time Markov chain in where at each time-step a randomly chosen vert…
Joint Shapley values: a measure of joint feature importance
Chris Harris, Richard Pymar, Colin Rowat
The Shapley value is one of the most widely used measures of feature importance partly as it measures a feature's average effect on a model's prediction. We introduce joint Shapley…
A direct comparison between the mixing time of the interchange process with "few" particles and independent random walks
Jonathan Hermon, Richard Pymar
We consider the interchange process with particles () on -vertex hypergraphs in which each hyperedge rings at rate . When rings, the particles occu…
The exclusion process mixes (almost) faster than independent particles
Jonathan Hermon, Richard Pymar
Oliveira conjectured that the order of the mixing time of the exclusion process with -particles on an arbitrary -vertex graph is at most that of the mixing-time of indepe…
The Bouchaud-Anderson model with double-exponential potential
Stephen Muirhead, Richard Pymar, Renato Soares dos Santos
The Bouchaud-Anderson model (BAM) is a generalisation of the parabolic Anderson model (PAM) in which the driving simple random walk is replaced by a random walk in an inhomogeneous…