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math.PR2022
Mobility Edge for Lévy Matrices
Amol Aggarwal, Charles Bordenave, Patrick Lopatto
Lévy matrices are symmetric random matrices whose entry distributions lie in the domain of attraction of an -stable law. For , predictions from the physics literature sugg…
cs.CC2022
Optimal-Degree Polynomial Approximations for Exponentials and Gaussian Kernel Density Estimation
Amol Aggarwal, Josh Alman
For any real numbers and and function , let denote the minimum degree of a polynomial…
math.PR2022
The ASEP speed process
Amol Aggarwal, Ivan Corwin, Promit Ghosal
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity…