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math.PR2023
TAP variational principle for the constrained overlap multiple spherical Sherrington-Kirkpatrick model
David Belius, Leon Fröber, Justin Ko
Spin glass models involving multiple replicas with constrained overlaps have been studied in [FPV92; PT07; Pan18a]. For the spherical versions of these models [Ko19; Ko20] showed t…
math.PR2022
Complexity of local maxima of given radial derivative for mixed -spin Hamiltonians
David Belius, Marius A. Schmidt
We study the number of local maxima with given radial derivative of spherical mixed -spin models and prove that the second moment matches the square of the first moment on expon…
math.PR2014★ 10 cited
The subleading order of two dimensional cover times
David Belius, Nicola Kistler
The epsilon-cover time of the two dimensional torus by Brownian motion is the time it takes for the process to come within distance epsilon>0 from any point. Its leading order in t…