A Delayed Rejection Reversible Jump Markov Chain Monte Carlo Method for Multi-Resolution Maps of the Stochastic Gravitational Wave Background with Pulsar Timing Array Data

arXiv:2609.32022 · astro-ph.IM, astro-ph.HE · Submitted 2026-09-25 · Read on arXiv

astro-ph.IM, astro-ph.HE

Submitted: 2026-09-25

Updated: 2026-09-25

Code: https://github.com/TTMoursy/Resolve

Terminology

• Anisotropy — 16× in this paper · explained in 3 episodes
• Trace — 3× in this paper · explained in 2 episodes
• pulsar timing arrays — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Fisher Information — 1× in this paper · explained in 3 episodes
• Local Optimization — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Addressing leakage and mode suppression in angular power spectrum estimation for gravitational-wave backgrounds using pulsar timing arrays
• Efficient and Modular Implicit Differentiation
• Mapping the Gravitational-wave Background Across the Spectrum with a Next-Generation Anisotropic Per-frequency Optimal Statistic
• Optimising gravitational-wave sky maps for pulsar timing arrays
• Directional Anisotropic Sensitivity Curves for Pulsar Timing Arrays
• Optimistix: modular optimisation in JAX and Equinox
• Bias from small-scale leakage in Pulsar Timing Array maps

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