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math.PR2021★ 1 cited
A sufficient condition for the quasipotential to be the rate function of the invariant measure of countable-state mean-field interacting particle systems
Sarath Yasodharan, Rajesh Sundaresan
This paper considers the family of invariant measures of Markovian mean-field interacting particle systems on a countably infinite state space and studies its large deviation asymp…
cs.NI2021
The Four Levels of Fixed-Points in Mean-Field Models
Sarath Yasodharan, Rajesh Sundaresan
The fixed-point analysis refers to the study of fixed-points that arise in the context of complex systems with many interacting entities. In this expository paper, we describe four…