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authorkurchan.jorge <kurchan.jorge@gmail.com>2023-01-23 10:40:15 +0000
committernode <node@git-bridge-prod-0>2023-01-23 10:55:10 +0000
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The annealed approximation is by now well understood, but is exact for a restricted subset of these problems. Here we derive the exact quenched
solution for the general case, which incorporates Parisi's solution for the ground state,
as it should. More importantly, including
- replica symmetry breaking uncovers the full organization of saddles in terms of their energies and stabilities, a structure that is lost in the annealed approximation. This structure should be a guide for the identification
+ replica symmetry breaking uncovers the full distribution of saddles at given energy in terms of their stabilities, a structure that is lost in the annealed approximation. This structure should be a guide for the identification
of relevant activated processes in relaxational or driven dynamics.}
%These examples demonstrate the consistency of the
%solution and reveal that the signature of replica symmetry breaking at high