52 citations · 61 across the 7 of their papers we have counts for
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math.CO2019★ 2 cited
Spectra of infinite graphs via freeness with amalgamation
Jorge Garza-Vargas, Archit Kulkarni
We use tools from free probability to study the spectra of Hermitian operators on infinite graphs. Special attention is devoted to universal covering trees of finite graphs. For op…
math.FA2019
Gaussian Regularization of the Pseudospectrum and Davies' Conjecture
Jess Banks, Archit Kulkarni, Satyaki Mukherjee +1
A matrix is diagonalizable if it has a basis of linearly independent eigenvectors. Since the set of nondiagonalizable matrices has measure zero, every…
math.NA2019★ 5 cited
The Lanczos Algorithm Under Few Iterations: Concentration and Location of the Output
Jorge Garza-Vargas, Archit Kulkarni
We study the Lanczos algorithm where the initial vector is sampled uniformly from . Let be an Hermitian matrix. We show that when run for few ite…