Universality of extremal eigenvalues of large random matrices
G Cipolloni, L Erdős, Y Xu - arXiv preprint arXiv:2312.08325, 2023 - arxiv.org
We prove that the spectral radius of a large random matrix $ X $ with independent,
identically distributed complex entries follows the Gumbel law irrespective of the distribution …
identically distributed complex entries follows the Gumbel law irrespective of the distribution …
Curvature-driven pathways interpolating between stationary points: the case of the pure spherical 3-spin model
This paper focuses on characterizing the energy profile along pathways connecting different
regions of configuration space in the context of a prototypical glass model, the pure …
regions of configuration space in the context of a prototypical glass model, the pure …
The High-Dimensional Asymptotics of Principal Component Regression
We study principal components regression (PCR) in an asymptotic high-dimensional
regression setting, where the number of data points is proportional to the dimension. We …
regression setting, where the number of data points is proportional to the dimension. We …
Finite-Size Relaxational Dynamics of a Spike Random Matrix Spherical Model
PH de Freitas Pimenta, DA Stariolo - Entropy, 2023 - mdpi.com
We present a thorough numerical analysis of the relaxational dynamics of the Sherrington–
Kirkpatrick spherical model with an additive non-disordered perturbation for large but finite …
Kirkpatrick spherical model with an additive non-disordered perturbation for large but finite …
Finite-size relaxational dynamics of a spike random matrix spherical model
PH Pimenta, DA Stariolo - arXiv preprint arXiv:2305.19932, 2023 - arxiv.org
We present a thorough numerical analysis of the relaxational dynamics of the Sherrington-
Kirkpatrick spherical model with an additive non-disordered perturbation for large but finite …
Kirkpatrick spherical model with an additive non-disordered perturbation for large but finite …