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Article Dans Une Revue Communications in Mathematical Physics Année : 2021

Linear Response for a Family of Self-consistent Transfer Operators

Résumé

We study a system of all-to-all weakly coupled uniformly expanding circle maps in the thermodynamic limit. The state of the system is described by a probability measure and its evolution is given by the action of a nonlinear operator, also called a self-consistent transfer operator. We prove that when the coupling is sufficiently small, the system has a unique stable state that satisfies a linear response formula when varying the coupling strength.

Dates et versions

hal-03953347 , version 1 (24-01-2023)

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Fanni M. Sélley, Matteo Tanzi. Linear Response for a Family of Self-consistent Transfer Operators. Communications in Mathematical Physics, 2021, 382 (3), pp.1601-1624. ⟨10.1007/s00220-021-03983-6⟩. ⟨hal-03953347⟩
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