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Spectral Gap Bounds for Langevin Dynamics in Mixed Spherical Spin Glasses

Khuzani, Masoud Badiei
arXiv (OAI Expanded) · Papers
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probability
We prove lower bounds on the relaxation time $1/γ_{N,β}$ of Langevin dynamics for mixed spherical spin glasses with even mixture $ξ(x)=\sum_{p\ge4}γ_p^2x^p$, under a one-step-replica-symmetry-breaking-type standing assumption of strict threshold separation $E_0(ξ)>E_1(ξ)>E_2(ξ)$; the pure spherical
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