5 papers · 2 filters
TAP states at upper deviations of the free energy: existence, localization and marginal stability in Ising spin glasses
Yan Ru Pei
We study upper large deviations of the free energy of mixed -spin Ising spin glasses through the generalized TAP free energy of Chen, Panchenko and Subag. For…
Upper deviations of the Sherrington-Kirkpatrick free energy: the fifth-order law and the onset of constrained Parisi measures
Yan Ru Pei
Let be the partition function of the Sherrington-Kirkpatrick model at inverse temperature . Replica theory (Kondor near the critical temperature, Parisi and Rizzo at all…
Vertical and reentrant ferromagnetic boundaries below the Nishimori point
Yan Ru Pei
We prove that below the multicritical (Nishimori) point the ferromagnetic boundary of a biased Ising spin glass, argued by Nishimori (1986) to be exactly vertical, can be vertical…
Positive-temperature spin-glass order on the three-dimensional Migdal-Kadanoff lattice
Yan Ru Pei
We study the Ising spin glass with independent, identically distributed couplings on the diamond hierarchical lattice with branches, of effective dimension ; …
Macroscopic freezing of a vector Gaussian free field conditioned to avoid a ball
Yan Ru Pei
We consider a fixed finite number of independent two-dimensional discrete Gaussian free fields on a box of side , with zero boundary values, conditioned so that the vector-value…