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math.ST2026
Expected number density of critical points of smooth Gaussian random fields in arbitrary dimensions
Satoshi Kuriki, Takahiko Matsubara, Satoshi Iso
We obtain explicit formulas for the expected number and height distribution of critical points of smooth isotropic Gaussian random fields on . The expected number den…
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…