7 papers
Curvature-Conditioned Measures for Cosmological Peak Statistics: A Transport-Geometric Framework
Tsutomu T. Takeuchi
We develop a transport-geometric theory of cosmological peak statistics based on optimal transport and entropy geometry. The density field is treated as a probability measure in Wa…
Revisiting Marked Galaxy Clustering from a Joint Point Process Perspective
Tsutomu T. Takeuchi
Marked correlation functions, in which galaxy properties such as luminosity or stellar mass are treated as marks, are widely used to test models of galaxy formation. In astronomy,…
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…
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…
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…
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…