On the spectral gap of spherical spin glass dynamics (Q2320382)

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On the spectral gap of spherical spin glass dynamics
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    On the spectral gap of spherical spin glass dynamics (English)
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    22 August 2019
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    The authors study the timescales to equilibrium for spherical \(p\)-spin glass model of system size \(N\). It is proved that the log-Sobolev constant and spectral gap are of order 1 at sufficiently high temperatures. The spectral gap decays exponentially in \(N\) at sufficiently low temperatures.
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    spin glass
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    Langevin dynamics
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    glassy dynamics
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    spectral gap
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    log-Sobolev
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