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math-ph2018
The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system
Jinho Baik, Thomas Bothner
The real Ginibre ensemble consists of real matrices whose entries are i.i.d. standard normal random variables. In sharp contrast to the complex and quaternion…
math.PR2018
Ferromagnetic to paramagnetic transition in spherical spin glass
Jinho Baik, Ji Oon Lee, Hao Wu
We consider the spherical spin glass model defined by a combination of the pure 2-spin spherical Sherrington-Kirkpatrick Hamiltonian and the ferromagnetic Curie-Weiss Hamiltonian.…