Solutions of graph reaction-diffusion equations on sequences of graphs converging in cut norm to a graphon converge in L^p to the solution of a limiting graphon RD equation, with a corresponding large-numbers result for stochastic particle processes.
The University of Wisconsin–Madison, 1987
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Graphon Limits of Graph Reaction--Diffusion Equations
Solutions of graph reaction-diffusion equations on sequences of graphs converging in cut norm to a graphon converge in L^p to the solution of a limiting graphon RD equation, with a corresponding large-numbers result for stochastic particle processes.