Constraining reionization with persistent homology: a novel summary statistic for wide-field Lyman- alpha emitter observations

arXiv:2609.36092 · astro-ph.CO, astro-ph.GA · Submitted 2026-09-28 · Read on arXiv

astro-ph.CO, astro-ph.GA

Submitted: 2026-09-28

Updated: 2026-10-02

Code: https://github.com/michaelmwyatt/betti0

Terminology

• Persistent Homology — 24× in this paper · explained in 3 episodes
• Clustering — 21× in this paper · explained in 2 episodes
• Fisher Information — 21× in this paper · explained in 3 episodes
• Non-Gaussianity — 5× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Forward modeling — 2× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Robustness — 1× in this paper · explained in 5 episodes
• Simulation-based Inference — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• Efficient simulation of discrete galaxy populations and associated radiation fields during the first billion years
• Characterizing Lyman alpha emission from high-redshift galaxies
• TILING I: Field-level Bayesian reconstruction of cosmological initial conditions during the epoch of reionization

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