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#spectral analysis

7 results
astro-ph.HE2019

Time-Resolved GRB Polarization with POLAR and GBM

J. Michael Burgess, M. Kole, F. Berlato +5

The paper presents a Bayesian analysis framework that jointly fits spectral and polarization data from the POLAR and GBM instruments for GRB 170114A, finding time‑varying polarizat…

#gamma-ray bursts#polarization#spectral analysis#synchrotron emission
math.OC2019

Optimizing Pinning Control of Complex Dynamical Networks Based on Spectral Properties of Grounded Laplacian Matrices

Hui Liu, Xuanhong Xu, Jun-An Lu +2

The paper proposes an algebraic graph‑theoretic condition to optimize pinning control in complex dynamical networks by maximizing the smallest eigenvalue of the grounded Laplacian…

#pinning control#complex networks#spectral analysis#grounded laplacian
math.SP2019

The essential spectrum of canonical systems

Christian Remling, Kyle Scarbrough

The paper investigates the lower bound of the essential spectrum for canonical systems of the form Ju' = -zHu, extending previous characterizations of purely discrete spectra by ap…

#canonical systems#essential spectrum#oscillation theory#discrete spectrum
math.AP2019

Approximating Pointwise Products of Quasimodes

Mei Ling Jin

The paper derives bounds for approximating products of Laplace‑Beltrami quasimodes on compact Riemannian manifolds by low‑dimensional vector spaces, using bilinear quasimode estima…

#quasimodes#laplace-beltrami operator#bilinear estimates#approximation theory
astro-ph.GA2019

HISS, a new tool for H I stacking: application to NIBLES spectra

J. Healy, S-L. Blyth, E. Elson +5

The paper introduces HISS, a Python package for stacking H I emission and absorption spectra, and uses it on NIBLES SDSS galaxies to study how H I content relates to galaxy colour…

#hi stacking#galaxy surveys#spectral analysis#stellar mass
math.PR2019

Polynomials on cyclic monotone elements with applications to random matrices with discrete spectrum

Octavio Arizmendi, Adrian Celestino

The paper extends formulas for the spectra of polynomials in cyclic monotone elements and applies these results to study random matrices that have a discrete spectrum.

#cyclic monotone elements#polynomial spectra#random matrices#discrete spectrum
q-bio.BM2019

The de Rham-Hodge analysis and modeling of biomolecules

Rundong Zhao, Menglun Wang, Yiying Tong +1

The paper introduces de Rham‑Hodge theory as a unified mathematical framework for analyzing the geometry, topology, flexibility, and natural modes of biological macromolecules, and…

#de rham-hodge theory#protein flexibility#spectral analysis#discrete exterior calculus