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physics.gen-ph2026
A Measure-Theoretic Transport Formulation of Galaxy Evolution on the Galaxy Manifold: Geometric Constraints
Tsutomu T. Takeuchi
We develop a measure-theoretic framework for galaxy evolution in which galaxy populations are described as probability measures on a state space. Galaxy evolution is represented as…
astro-ph.GA2026
Joint State-and-Dynamics Inference for Galaxy Population Evolution on an Effective Manifold
Tsutomu T. Takeuchi, Ryusei R. Kano
Galaxy surveys provide noisy, incomplete, selection-affected population snapshots rather than complete evolutionary histories. We formulate galaxy evolution as joint inference of e…
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…