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What Does It Take to Stabilize Gravitational Clustering?

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Chung-Pei Ma (U. Penn.), J. N. Fry (U. Florida)

Astrophysics · Submitted 10 May 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The long-cherished stable clustering hypothesis therefore is not necessarily realized in practice.

how it is stated · hedged possibility 0.63 read the record →

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arXiv IDastro-ph/0005233 (version 2)
Pith IDJ5EUC7XN, Pith's permanent record of this paper and its review
CitationChung-Pei Ma (U. Penn.), J. N. Fry (U. Florida). "What Does It Take to Stabilize Gravitational Clustering?." arXiv:astro-ph/0005233 (2000). https://pith.science/paper/J5EUC7XN
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,431 input tokens.

What the abstract itself states, as probabilities: claims first 0.13 · states limitation 0.38 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.73 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

An analytical understanding of the strongly nonlinear regime of gravitational collapse has been difficult to achieve. The only insight has been the stable clustering hypothesis, which assumes that the number of neighbors for objects averaged over small length scales is constant in time. Our recently proposed analytic halo model for N-point correlation functions now provides a tool for calculating gravitational clustering properties in the strongly nonlinear regime. This model also provides a new physical framework for an independent evaluation of the validity of the stable clustering hypothesis. We derive the asymptotic nonlinear behavior of the N-point correlation functions and pairwise peculiar velocities in terms of dark matter halo properties. We show that these statistics exhibit stable clustering only when the halo mass function and halo density profile obey specific relations. The long-cherished stable clustering hypothesis therefore is not necessarily realized in practice.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 An analytical understanding of the strongly nonlinear regime of gravitational collapse has been difficult to achieve. gap 0.73 0.04 0.02 asserted 1.00
s1 The only insight has been the stable clustering hypothesis, which assumes that the number of neighbors for objects averaged over small length scales is constant in time. background 0.93 0.03 0.03 asserted 0.99
s2 Our recently proposed analytic halo model for N-point correlation functions now provides a tool for calculating gravitational clustering properties in the strongly nonlinear regime. contribution 0.67 0.85 0.05 asserted 0.98
s3 This model also provides a new physical framework for an independent evaluation of the validity of the stable clustering hypothesis. contribution 0.85 0.66 0.06 asserted 0.89
s4 We derive the asymptotic nonlinear behavior of the N-point correlation functions and pairwise peculiar velocities in terms of dark matter halo properties. result 0.50 0.96 0.05 asserted 1.00
s5 We show that these statistics exhibit stable clustering only when the halo mass function and halo density profile obey specific relations. result 1.00 0.94 0.57 asserted 1.00
s6 The long-cherished stable clustering hypothesis therefore is not necessarily realized in practice. interpretation 0.90 0.79 0.89 hedged possibility 0.63

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

An analytical understanding of the strongly nonlinear regime of gravitational collapse has been difficult to achieve. The only insight has been the stable clustering hypothesis, which assumes that the number of neighbors for objects averaged over small length scales is constant in time. Our recently proposed analytic halo model for N-point correlation functions now provides a tool for calculating gravitational clustering properties in the strongly nonlinear regime. This model also provides a new physical framework for an independent evaluation of the validity of the stable clustering hypothesis. We derive the asymptotic nonlinear behavior of the N-point correlation functions and pairwise peculiar velocities in terms of dark matter halo properties. We show that these statistics exhibit stable clustering only when the halo mass function and halo density profile obey specific relations. The long-cherished stable clustering hypothesis therefore is not necessarily realized in practice.

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2 arXiv papers cite this in 2 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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