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math.PR2006
Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths
Philippe Carmona
In this note we consider a chain of oscillators, whose ends are in contact with two heat baths at different temperatures. Our main result is the exponential convergence to the…
math.PR2006
Strong disorder implies strong localization for directed polymers in a random environment
Philippe Carmona, Yueyun Hu
In this note we show that in any dimension , the strong disorder property implies the strong localization property. This is established for a continuous time model of directed p…