2 citations · 5 across the 4 of their papers we have counts for
7 papers
High dimensional normality of noisy eigenvectors
Jake Marcinek, Horng-Tzer Yau
We study joint eigenvector distributions for large symmetric matrices in the presence of weak noise. Our main result asserts that every submatrix in the orthogonal matrix of eigenv…
Eigenvector Statistics of Lévy Matrices
Amol Aggarwal, Patrick Lopatto, Jake Marcinek
We analyze statistics for eigenvector entries of heavy-tailed random symmetric matrices (also called Lévy matrices) whose associated eigenvalues are sufficiently small. We show tha…
An Improved Lower Bound for Sparse Reconstruction from Subsampled Walsh Matrices
Jarosław Błasiok, Patrick Lopatto, Kyle Luh +2
We give a short argument that yields a new lower bound on the number of subsampled rows from a bounded, orthonormal matrix necessary to form a matrix with the restricted isometry p…
Comparison theorem for some extremal eigenvalue statistics
Benjamin Landon, Patrick Lopatto, Jake Marcinek
We introduce a method for the comparison of some extremal eigenvalue statistics of random matrices. For example, it allows one to compare the maximal eigenvalue gap in the bulk of…
KMS weights on higher rank buildings
Jake Marcinek, Matilde Marcolli
We extend some of the results of Carey-Marcolli-Rennie on modular index invariants of Mumford curves to the case of higher rank buildings: we discuss notions of KMS weights on buil…
Distribution of orders in number fields
Nathan Kaplan, Jake Marcinek, Ramin Takloo-Bighash
In this paper we study the distribution of orders of bounded discriminants in number fields. We give an asymptotic formula for the number of orders contained in the ring of integer…
Counting Subrings of of finite index
Nathan Kaplan, Jake Marcinek, Ramin Takloo-Bighash
In this article we investigate the number of subrings of using subring zeta functions and -adic integration.