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Titlebook: Statistical Mechanics of Classical and Disordered Systems; Luminy, France, Augu Véronique Gayrard,Louis-Pierre Arguin,Irina Kourko Conferen

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Dynamic Phase Diagram of the REMdom Energy Model (REM) on time-scales that are exponential in the volume. These results are derived from the convergence properties of the clock process associated to the dynamics and fine properties of the simple random walk in the .-dimensional discrete cube.
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Nature Versus Nurture: Dynamical Evolution in Disordered Ising Ferromagnetsdynamical realizations with the same random initialization (called twins). We derive, theoretically and numerically, trajectories for the evolution of the normalized magnetization and twin overlap as the system size tends to infinity. The systems we treat include mean-field ferromagnets with light-t
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Tightness and Line Ensembles for Brownian Polymers Under Geometric Area Tiltso geometrically growing self-potentials of tilted area type. Statistical properties of the resulting ensemble are very different from that of non-colliding Brownian bridges without self-potentials. The model itself was introduced in order to mimic level lines of . discrete Solid-On-Solid random inte
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The Free Energy of the GREM with Random Magnetic Fieldlication of large deviation theory which reduces the problem to that of a GREM on a subset of configurations for which the magnetization attains a specific value. The methods introduced are general and extend to the .-level GREM in the presence of a random magnetic field.
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