6533b7d4fe1ef96bd12632c4
RESEARCH PRODUCT
Dynamic Phase Diagram of the REM
Véronique GayrardLisa Hartungsubject
Physicsrandom environmentsspin glassesRandom energy model010102 general mathematicsagingrandom dynamicsSimple random sample01 natural sciencesLévy processclock processExponential function[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]010104 statistics & probabilityCorrelation functionLévy processesConvergence (routing)Statistical physics0101 mathematicsCube[MATH]Mathematics [math]Phase diagramdescription
International audience; By studying the two-time overlap correlation function, we give a comprehensive analysis of the phase diagram of the Random Hopping Dynamics of the Random 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 $n$-dimensional discrete cube.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-12-16 |