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cond-mat.dis-nn2026
The free energy limit of the SYK model at high temperature
David Gamarnik, Francisco Pernice, Alexander Schmidhuber +1
The Sachdev-Ye-Kitaev (SYK) model is a disordered quantum mean-field model studied in condensed matter physics and the holographic theory of black holes. Its structural properties…
cs.IT2026
The Random Subsequence Model and Uniform Codes for the Deletion Channel
Ryan Jeong, Francisco Pernice
We introduce the Random Subsequence Model, a spin glass model on pairs of random strings whose partition function counts subsequence embeddin…
cond-mat.dis-nn2026
Rigorous Asymptotics for First-Order Algorithms Through the Dynamical Cavity Method
Yatin Dandi, David Gamarnik, Francisco Pernice +1
Dynamical Mean Field Theory (DMFT) provides an asymptotic description of the dynamics of macroscopic observables in certain disordered systems. Originally pioneered in the context…