Gravitational-Wave Sky Mapping with Pulsar Timing Arrays: The Full Earth-Pulsar Response and Fundamental Resolution Limits

arXiv:2607.19329 · astro-ph.HE, gr-qc · Submitted 2026-07-21 · Read on arXiv

S. A. Andrianov, S. M. Kopeikin

astro-ph.HE, gr-qc

Submitted: 2026-07-21

Comments: 68 pages, 9 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Inverse Problem — 22× in this paper · explained in 2 episodes
• Anisotropy — 18× in this paper · explained in 3 episodes
• Fisher Information — 15× in this paper · explained in 3 episodes
• pulsar timing arrays — 10× in this paper · explained in 2 episodes
• Regularization — 7× in this paper · explained in 3 episodes
• Accuracy — 6× in this paper · explained in 1 episode
• Fidelity — 6× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Square Kilometre Array — 2× in this paper
• Aperture — 1× in this paper · explained in 1 episode
• Bayesian Inference — 1× in this paper · explained in 5 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Core — 1× in this paper · explained in 2 episodes
• Frequency Dependence — 1× in this paper · explained in 2 episodes
• Parameter Identifiability — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Scaling Laws — 1× in this paper · explained in 4 episodes
• Singular Value Decomposition — 1× in this paper
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Mapping the nano-Hertz gravitational wave sky
• A comprehensive framework for phase-coherent mapping of the gravitational-wave sky with pulsar timing arrays
• PSRPI: A large VLBA pulsar astrometry program
• The Galactic Millisecond Pulsar Population
• Expectations for the first supermassive black-hole binary resolved by PTAs I: Model efficacy
• The SKAO Pulsar Timing Array
• The Nanohertz Gravitational Wave Astronomer
• On the angular localization of gravitational-wave signals by pulsar timing arrays
• Reaching diffraction-limited localization with coherent PTAs

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