Problems
No problem here has yet been reviewed by a person.
How many nondegenerate equilibrium points can the potential of three positive point charges have? Gabrielov, Novikov and Shapiro had proved at most 12, and observed that their method would give 6 if an auxiliary polynomial system had at…
For the Sachdev-Ye-Kitaev Hamiltonian on n Majorana modes with k-body interactions, the paper proves E|H|_op = (1-o(1))√2n/k for super-constant k ≤ o(√n), confirming predictions of Garcia-Garcia, Jia and Verbaarschot and answering a…
At the critical inverse temperature β=1 in the Sherrington-Kirkpatrick spin glass model, Talagrand conjectured that the expected squared overlap of two independent Gibbs replicas has an exact N^-2/3 scaling: there exists a constant a>0…