Random Classical Fidelity

Sandro Vaienti (1, 2) , Carlangelo Liverani (3) , Philippe Marie (2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 DIPMAT - Dipartimento di Matematica [Roma II]

We introduce a random perturbed version of the classical fidelity and we show that it converges with the same rate of decay of correlations, but not uniformly in the noise. This makes the classical fidelity unstable in the zero-noise limit.

Domaines: Systèmes dynamiques [math.DS]

Sandro Vaienti, Carlangelo Liverani, Philippe Marie. Random Classical Fidelity. Journal of Statistical Physics, 2007, 128 (4), pp.1079-1091. ⟨10.1007/s10955-007-9338-5⟩. ⟨hal-00476228⟩