5 citations · 5 across the 5 of their papers we have counts for
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Non-Shattering at and Above the Dynamical Temperature in the Spherical Pure p-Spin Model
Taegyun Kim
We consider the notion of shattering introduced by Ben Arous and Jagannath for spherical pure -spin glasses with overlap . For every and …
Regularized Bulk Universality versus Bounded-Disorder Nonuniversality for Annealed Complexity of Spherical -Spin Landscapes
Taegyun Kim
Fix . We establish a separation between regularized bulk universality and unrestricted annealed complexity for the pure spherical -spin Hamiltonian with independent non-…
A Sharp Universality Dichotomy for the Free Energy of Spherical Spin Glasses
Taegyun Kim
We study the free energy for pure and mixed spherical -spin models with i.i.d.\ disorder. In the mixed case, each -interaction layer is assumed either to have regularly varyi…
Heavy-Tailed Mixed p-Spin Spherical Model: Breakdown of Ultrametricity and Failure of the Parisi Formula
Taegyun Kim
We prove that the two cornerstones of mean-field spin glass theory -- the Parisi variational formula and the ultrametric organization of pure states -- break down under heavy-taile…
Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with heavy-tailed interaction
Taegyun Kim, Ji Oon Lee
We consider the 2-spin spherical Sherrington--Kirkpatrick model without external magnetic field where the interactions between the spins are given as random variables with heavy-ta…