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Local dynamics for fibered holomorphic transformations

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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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M. Ponce

Dynamical Systems · Submitted 15 May 2007

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

The authors' main claim We obtain some results analogous to the results in the non fibered case.

how it is stated · asserted 0.99 read the record →

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arXiv ID0705.2165 (version 1)
Pith IDVHOR6R52, Pith's permanent record of this paper and its review
CitationM. Ponce. "Local dynamics for fibered holomorphic transformations." arXiv:0705.2165 (2007). https://pith.science/paper/VHOR6R52
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,828 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.75 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Fibered holomorphic dynamics are skew-product transformations over an irrational rotation, whose fibers are holomorphic functions. In this paper we study such a dynamics on a neighborhood of an invariant curve. We obtain some results analogous to the results in the non fibered case.

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 Fibered holomorphic dynamics are skew-product transformations over an irrational rotation, whose fibers are holomorphic functions. background 1.00 0.07 0.03 asserted 1.00
s1 In this paper we study such a dynamics on a neighborhood of an invariant curve. contribution 0.99 0.80 0.05 asserted 0.94
s2 We obtain some results analogous to the results in the non fibered case. result 0.93 0.91 0.61 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

Fibered holomorphic dynamics are skew-product transformations over an irrational rotation, whose fibers are holomorphic functions. In this paper we study such a dynamics on a neighborhood of an invariant curve. We obtain some results analogous to the results in the non fibered case.

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