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Detailed view Article in peer-reviewed journal
Journal of Statistical Physics 128, 4 (2007) 1079-1091
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Random Classical Fidelity
Sandro Vaienti1, 2, Carlangelo Liverani3, Philippe Marie1

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.
1:  CPT - Centre de Physique Théorique
2:  FRUMAM - Fédération de Recherche des Unités de MAthématiques de Marseille
3:  DIPMAT - Dipartimento di Matematica [Roma II]