42 citations · 49 across the 9 of their papers we have counts for
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math.PR2018★ 1 cited
Interacting diffusions on sparse graphs: hydrodynamics from local weak limits
Roberto I. Oliveira, Guilherme H. Reis, Lucas M. Stolerman
We prove limit theorems for systems of interacting diffusions on sparse graphs. For example, we deduce a hydrodynamic limit and the propagation of chaos property for the stochastic…
math.PR2018★ 42 cited
Interacting diffusions on random graphs with diverging degrees: hydrodynamics and large deviations
Roberto I. Oliveira, Guilherme Reis
We consider systems of mean-field interacting diffusions, where the pairwise interaction structure is described by a sparse (and potentially inhomogeneous) random graph. Examples i…