Expected number density of critical points of smooth Gaussian random fields in arbitrary dimensions

arXiv:2607.23903 · math.ST, astro-ph.CO, math.PR · Submitted 2026-07-27 · Read on arXiv

Satoshi Kuriki, Takahiko Matsubara, Satoshi Iso

math.ST, astro-ph.CO, math.PR

Submitted: 2026-07-27

Comments: 25 pages, 1 figure

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Non-Gaussianity — 2× in this paper · explained in 2 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Abundance — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Bispectrum — 1× in this paper · explained in 3 episodes
• Primordial non-Gaussianity — 1× in this paper · explained in 2 episodes

Sources

• Expected Euler characteristic method for the largest eigenvalue: (Skew-)orthogonal polynomial approach

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