3 papers
astro-ph.CO2026
A Geometric Theory of Cosmological Structure via Entropic Curvature in Wasserstein Space
Tsutomu T. Takeuchi
We construct a geometric framework for cosmological large-scale structure based on optimal transport theory and Wasserstein geometry. In this framework, Ricci curvature on the prob…
astro-ph.GA2026
Rigorous Formulation of Finite-Sample and Finite-Window Effects in Galaxy Clustering
Tsutomu T. Takeuchi, Satoshi Kuriki, Keisuke Yano
Galaxy surveys provide finite catalogs of objects observed within bounded volumes, yet clustering statistics are often interpreted using theoretical frameworks developed for infini…
astro-ph.CO2026
Cosmic Dipole as a Symmetry Response: From the Ellis--Baldwin Formula to Correlation Function Dipoles
Tsutomu T. Takeuchi
The cosmic dipole in galaxy number counts is traditionally described by the Ellis--Baldwin (EB) formula under simplifying assumptions of power-law source counts and flux-limited se…