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A new class of positive recurrent functions

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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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Pawel Hanus, Mariusz Urbanski

Dynamical Systems · Submitted 26 Jul 1999

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

The authors' main claim In this paper we construct a natural wide class of such functions and we showthat they have stronger ergodic properties than the general functions considered in Sarig's paper.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/9907167 (version 1)
Pith IDGXQ63PRK, Pith's permanent record of this paper and its review
CitationMariusz Urbanski, Pawel Hanus. "A new class of positive recurrent functions." arXiv:math/9907167 (1999). https://pith.science/paper/GXQ63PRK
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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,803 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.92 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Recently O. Sarig has introduced and explored the concept of positively recurrent functions. In this paper we construct a natural wide class of such functions and we showthat they have stronger ergodic properties than the general functions considered in Sarig's paper.

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 Recently O. background 1.00 0.03 0.01 unclear 0.99
s1 Sarig has introduced and explored the concept of positively recurrent functions. background 1.00 0.03 0.04 asserted 1.00
s2 In this paper we construct a natural wide class of such functions and we showthat they have stronger ergodic properties than the general functions considered in Sarig's paper. contribution 0.97 0.96 0.90 asserted 1.00

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

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

Recently O. Sarig has introduced and explored the concept of positively recurrent functions. In this paper we construct a natural wide class of such functions and we showthat they have stronger ergodic properties than the general functions considered in Sarig's paper.

Human review

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