The paper proves the Ising pure p-spin glass is RS, then 1-RSB, then full RSB with support {0} union [q,q'], for every p at least 3.
FRSB in the SK spin glass: convergence to full-interval support at zero temperature
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
We prove full replica symmetry breaking for the zero-field Sherrington-Kirkpatrick model at zero temperature: the Parisi minimizer is absolutely continuous, has a smooth density, and has support $[0,1)$. At inverse temperature $\beta>1$, [arxiv.org/abs/2607.11756v3] recently proved that the Parisi measure has support $[0,q_\beta]$. Here, we show $q_\beta$ converges to $1$ as $\beta\to\infty$.
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On the Gardner Transition in the Ising Pure $p$-Spin Glass II
The paper proves the Ising pure p-spin glass is RS, then 1-RSB, then full RSB with support {0} union [q,q'], for every p at least 3.