7 citations · 11 across the 8 of their papers we have counts for
8 papers
Wandering Exponents and the Free Energy of the High-Dimensional Elastic Polymer
Gerard Ben Arous, Pax Kivimae
We study the behavior of the elastic polymer, a model of a directed polymer in a continuous Gaussian random environment that is independent in time and correlated in space, as the…
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…
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…
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…
Concentration of Equilibria and Relative Instability in Disordered Non-Relaxational Dynamics
Pax Kivimae
We consider a system of random autonomous ODEs introduced by Cugliandolo et al. [22], which serves as a non-relaxational analog of the gradient flow for the spherical p-spin model.…
The Ground State Energy and Concentration of Complexity in Spherical Bipartite Models
Pax Kivimae
We establish an asymptotic formula for the ground-state energy of the spherical pure -spin glass model for . We achieve this through understanding the concentrati…
Gaussian Multiplicative Chaos for Gaussian Orthogonal and Symplectic Ensembles
Pax Kivimae
We study the characteristic polynomials of both the Gaussian Orthogonal and Symplectic Ensembles. We show that for both ensembles, powers of the absolute value of the characteristi…
Critical Fluctuations for the Spherical Sherrington-Kirkpatrick Model in an External Field
Pax Kivimae
We prove the existence of a critical regime for the fluctuations of the ground-state energy of the spherical Sherrington-Kirkpatrick model in an external field, confirming predicti…