AWhat changed
Press and Schechter develop a statistical model connecting small gravitating seeds to a growing condensation mass spectrum, with a Gaussian-tail construction, a surviving maximum-variance self-similar branch and limited N-body tests.
Scientific scope
Press and Schechter develop a statistical model connecting small gravitating seeds to a growing condensation mass spectrum, with a Gaussian-tail construction, a surviving maximum-variance self-similar branch and limited N-body tests. The mass-distribution model uses specified Gaussian initial fluctuations, collapse thresholds and approximations. Its counting/normalization and scale-to-mass mapping are model assumptions, not an exact physical collapse proof. Nonlinear dynamics, mergers and finite simulations need further evidence. The later excursion-set first-crossing derivation is separately credited.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- William H. Press · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Paul Schechter · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- William H. Press/Paul Schechter 1974 original 425-438 includingnoteaddedproof
- Bond/Cole/Efstathiou/Kaiser 1991: distinctexcursion-set first-crossing approach
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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