3 papers
math.NT2024
Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on
Ankit Bisain, Peter Humphries, Andrei Mandelshtam +2
It is a folklore result in arithmetic quantum chaos that quantum unique ergodicity on the modular surface with an effective rate of convergence follows from subconvex bounds for ce…
math.NA2023
A New Upper Bound For the Growth Factor in Gaussian Elimination with Complete Pivoting
Ankit Bisain, Alan Edelman, John Urschel
The growth factor in Gaussian elimination measures how large the entries of an LU factorization can be relative to the entries of the original matrix. It is a key parameter in erro…
math.CO2020
The Bernardi formula for non-transitive deformations of the braid arrangement
Ankit Bisain, Eric J. Hanson
Bernardi has given a general formula for the number of regions of a deformation of the braid arrangement as a signed sum over boxed trees. We prove that each set of boxed trees whi…