22 citations · 56 across the 17 of their papers we have counts for
18 papers
Inferring the drivers of language change using spatial models
James Burridge, Tamsin Blaxter
Discovering and quantifying the drivers of language change is a major challenge. Hypotheses about causal factors proliferate, but are difficult to rigorously test. Here we ask a si…
Public efforts to reduce disease transmission implied from a spatial game
James Burridge, Michal Gnacik
One approach to understand people's efforts to reduce disease transmission, is to consider the effect of behaviour on case rates. In this paper we present a spatial infection-reduc…
Spatial evidence that language change is not neutral
James Burridge, Tamsin Blaxter
The neutral theory of genetic and linguistic evolution holds that the relative frequencies of variants evolve by random drift. Neutral evolution remains a plausible null model of l…
Size and shape of tracked Brownian bridges
Abdulrahman Alsolami, James Burridge, Michal Gnacik
We investigate the typical sizes and shapes of sets of points obtained by irregularly tracking two-dimensional Brownian bridges. The tracking process consists of observing the path…
Statistical Physics of Language Maps in the USA
James Burridge, Bert Vaux, Michal Gnacik +1
Spatial linguistic surveys often reveal well defined geographical zones where certain linguistic forms are dominant over their alternatives. It has been suggested that these patter…
The shape of a memorised random walk
Michal Gnacik, Abdulrahman Alsolami, James Burridge
We view random walks as the paths of foraging animals, perhaps searching for food or avoiding predators while forming a mental map of their surroundings. The formation of such maps…
Spatial evolution of human dialects
James Burridge
The geographical pattern of human dialects is a result of history. Here, we formulate a simple spatial model of language change which shows that the final result of this historical…
Infrequent social interaction can accelerate the spread of a persuasive idea
James Burridge, Michal Gnacik
We study the spread of a persuasive new idea through a population of continuous-time random walkers in one dimension. The idea spreads via social gatherings involving groups of nea…
Birdsong dialect patterns explained using magnetic domains
James Burridge, Steven Kenney
The songs and calls of many bird species, like human speech, form distinct regional dialects. We suggest that the process of dialect formation is analogous to the physical process…
Memory and limit cycles in rock-scissors-paper
James Burridge
When playing games in groups, it is an advantage for individuals to have accurate statistical information on the strategies of their opponents. Such information may be obtained by…
Does good memory help you win games?
James Burridge, Yu Gao, Yong Mao
We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a criti…
The formation and arrangement of pits by a corrosive gas
James Burridge, Robert Inkpen
When corroding or otherwise aggressive particles are incident on a surface, pits can form. For example, under certain circumstances rock surfaces that are exposed to salts can form…
New families of subordinators with explicit transition probability semigroup
James Burridge, Mateusz Kwaśnicki, Alexey Kuznetsov +1
There exist only a few known examples of subordinators for which the transition probability density can be computed explicitly along side an expression for its Lévy measure and Lap…
Crossover Behaviour In Driven Cascades
James Burridge
We propose a model which explains how power-law crossover behaviour can arise in a system which is capable of experiencing cascading failure. In our model the susceptibility of the…
Shocks Generate Crossover Behaviour In Lattice Avalanches
James Burridge
A spatial avalanche model is introduced, in which avalanches increase stability in the regions where they occur. Instability is driven globally by a driving process that contains s…
The Moment Generating function for ray lengths in the Half Gilbert Model with Rectangular Cells
James Burridge, Richard Cowan
In the full rectangular version of Gilbert's tessellation lines extend either horizontally (with east- and west--growing rays) or vertically (north- and south--growing rays) from s…
Cascade sizes in a branching process with Gamma distributed generations
James Burridge
We derive an exact expression for the probability density function of the cascade size (total progeny) in a continuous state branching process when the generations are Gamma distri…
Full and Half Gilbert Tessellations with Rectangular Cells
James Burridge, Richard Cowan, Isaac Ma
We investigate the ray-length distributions for two different rectangular versions of Gilbert's tessellation. In the full rectangular version, lines extend either horizontally (wit…