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math.DS2022
Mean-Field Coupled Systems and Self-Consistent Transfer Operators: A Review
Matteo Tanzi
In this review we survey the literature on mean-field coupled maps. We start with the early works from the physics literature, arriving to some recent results from ergodic theory s…
math.DS2022
Uniformly Expanding Coupled Maps: Self-Consistent Transfer Operators and Propagation of Chaos
Matteo Tanzi
In this paper we study systems of uniformly expanding coupled maps when is finite but large. We introduce self-consistent transfer operators that approximate the evolution…