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 $p$-spin glasses with overlap $q$. For every $p\ge 3$ and $0<\beta \le {\beta }_{\mathrm{sh}}(p)$…