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Chaotic Hypothesis and Universal Large Deviations Properties

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Giovanni Gallavotti (Universita' di Roma 1, Italia)

chao-dyn · Submitted 5 Aug 1998

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

The authors' main claim Are there consequences that can be drawn simply by assuming that a system is hyperbolic? here we present a few model independent general consequences which may have some relevance for the Physics of chaotic systems.

how it is stated · hedged possibility 0.77 read the record →

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arXiv IDchao-dyn/9808004 (version 1)
Pith IDXTABMZLW, Pith's permanent record of this paper and its review
CitationGiovanni Gallavotti (Universita' di Roma 1, Italia). "Chaotic Hypothesis and Universal Large Deviations Properties." arXiv:chao-dyn/9808004 (1998). https://pith.science/paper/XTABMZLW
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,470 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.22 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Chaotic systems arise naturally in Statistical Mechanics and in Fluid Dynamics. A paradigm for their modelization are smooth hyperbolic systems. Are there consequences that can be drawn simply by assuming that a system is hyperbolic? here we present a few model independent general consequences which may have some relevance for the Physics of chaotic systems. Expanded version of a talk at ICM98, Berlin.

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 Chaotic systems arise naturally in Statistical Mechanics and in Fluid Dynamics. background 1.00 0.04 0.02 asserted 1.00
s1 A paradigm for their modelization are smooth hyperbolic systems. background 0.98 0.05 0.03 asserted 0.99
s2 Are there consequences that can be drawn simply by assuming that a system is hyperbolic? here we present a few model independent general consequences which may have some relevance for the Physics of chaotic systems. contribution 0.91 0.81 0.45 hedged possibility 0.77
s3 Expanded version of a talk at ICM98, Berlin. background 0.95 0.10 0.01 unclear 0.77

What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from argument 0.59.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
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

Chaotic systems arise naturally in Statistical Mechanics and in Fluid Dynamics. A paradigm for their modelization are smooth hyperbolic systems. Are there consequences that can be drawn simply by assuming that a system is hyperbolic? here we present a few model independent general consequences which may have some relevance for the Physics of chaotic systems. Expanded version of a talk at ICM98, Berlin.

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