11 citations · 14 across the 5 of their papers we have counts for
6 papers
Critical speeding up as an early warning signal of regime switching
Mathew Titus, Zach Gelbaum, James Watson
The use of critical slowing down as an early warning indicator for regime switching in observations from stochastic environments and noisy dynamical models has been widely studied…
Multi-Scale Analysis on Complex Networks using Hermitian Graph Wavelets
Zach Gelbaum, Mathew Titus, James Watson
We construct and study a class of spectral graph wavelets by analogy with Hermitian wavelets on the real line. We provide a localization result that significantly improves upon tho…
Simulation of Fractional Brownian Surfaces via Spectral Synthesis on Manifolds
Zachary Gelbaum, Mathew Titus
Using the spectral decomposition of the Laplace-Beltrami operator we simulate fractal surfaces as random series of eigenfunctions. This approach allows us to generate random fields…
On the Largest Eigenvalue of Products from the β-Laguerre Ensemble
Zachary Gelbaum
We determine the limiting distribution of the largest eigenvalue of products from the -Laguerre ensemble. This limiting distribution is given by a Tracy-Widom law with parameter…
Fractional Brownian Fields over Manifolds
Zachary Gelbaum
Extensions of the fractional Brownian fields are constructed over a complete Riemannian manifold. This construction is carried out for the full range of the Hurst parameter $α\in(0…
White Noise Representation of Gaussian Random Fields
Zachary Gelbaum
We obtain a representation theorem for Banach space valued Gaussian random variables as integrals against a white noise. As a corollary we obtain necessary and sufficient condition…