3. Solution Geometry
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Problem 3.1.
[?] Prove that the condensation threshold for $3$-colorability on an Erdos-Renyi graph $G(n,p)$ is $p = 4/n$. -
Problem 3.2.
[?] In the Sherrington-Kirkpatrick model, is the overlapping distribution on the instance almost surely atomic?
The same for max-CSP at large density, or at low but finite temperature.
Cite this as: AimPL: Phase transitions in randomized computational problems, available at http://aimpl.org/phaserandom.