From the 1 of 14 linked papers with an AI index.
12 papers · 1 filter
Dynamical phase retrieval for Schr{ö}dinger evolution on finite graphs
Philippe Jaming, Azita Mayeli
The paper studies when magnitude‑only (phaseless) measurements of a quantum state evolving under a graph Schrödinger operator uniquely determine the initial state, giving spectral…
Trace bounds for limiting operators on rough domains
Kevin Hughes, Arie Israel, Azita Mayeli
This work concerns a quantitative form of Landau's eigenvalue theorem for spatio-spectral limiting operators. We isolate a simple mechanism that converts the problem of estimating…
Spectral synthesis on Riemannian manifolds
A. Iosevich, A. Mayeli, E. Wyman
We study spectral synthesis for measures supported on thin subsets of compact Riemannian manifolds. We prove that under natural non-concentration conditions, such measures admit qu…
Wave packet systems and connections to spectral analysis of limiting operators
Kevin Hughes, Arie Israel, Azita Mayeli
We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processin…
The Fourier Ratio and complexity of signals
K. Aldaleh, W. Burstein, G. Garza +12
We study the Fourier ratio of a signal , \[ \mathrm{FR}(f)\ :=\ \sqrt{N}\,\frac{\|\widehat f\|_{L^1(μ)}}{\|\widehat f\|_{L^2(μ)}} \ =\ \frac{\|\widehat…
Fourier minimization and imputation of time series
Will Burstein, Alex Iosevich, Azita Mayeli +1
One of the most common procedures in modern data analytics is filling in missing values in times series. For a variety of reasons, the data provided by clients to obtain a forecast…