419 citations · 598 across the 26 of their papers we have counts for
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physics.soc-ph2015★ 16 cited
Analysis of the high dimensional naming game with committed minorities
William Pickering, Boleslaw K. Szymanski, Chjan Lim
The naming game has become an archetype for linguistic evolution and mathematical social behavioral analysis. In the model presented here, there are individuals and words.…
physics.soc-ph2015★ 15 cited
Solution of the multi-state voter model and application to strong neutrals in the naming game
William Pickering, Chjan Lim
We consider the voter model with states initially in the system. Using generating functions, we pose the spectral problem for the Markov transition matrix and solve for all eig…
physics.soc-ph2015
Spectral solution of urn models for interacting particle systems
William Pickering, Chjan Lim
Using generating function methods for diagonalizing the transition matrix in 2-Urn models, we provide a complete classification into solvable and unsolvable subclasses, with furthe…