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math.PR2024
The Larkin Mass and Replica Symmetry Breaking in the Elastic Manifold
Gerard Ben Arous, Pax Kivimae
This is the second of a series of three papers about the Elastic Manifold model. This classical model proposes a rich picture due to the competition between the inherent disorder a…
math.PR2024
The Free Energy of the Elastic Manifold
Gerard Ben Arous, Pax Kivimae
This is the first of a series of three papers about the Elastic Manifold model. This classical model proposes a rich picture due to the competition between the inherent disorder an…
math.PR2024★ 1 cited
Moments of Characteristic Polynomials of Non-Symmetric Random Matrices
Pax Kivimae
We study the moments of the absolute characteristic polynomial of the real elliptic ensemble, including the case of the real Ginibre ensemble. We obtain asymptotics for all integra…