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Palm measures for Dirac operators and the Sine beta process

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Benedek Valkó, Bálint Virág

Probability · Submitted 21 Jul 2022

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

The authors' main claim We characterize the Palm measure of the Sine beta process as the eigenvalues of an associated operator with a specific boundary condition.

how it is stated · asserted 1.00 read the record →

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arXiv ID2207.10626 (version 1)
Pith IDF4VMDNV6, Pith's permanent record of this paper and its review
CitationB\'alint Vir\'ag, Benedek Valk\'o. "Palm measures for Dirac operators and the Sine beta process." arXiv:2207.10626 (2022). https://pith.science/paper/F4VMDNV6
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,590 input tokens.

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

The abstract, sentence by sentence

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

We characterize the Palm measure of the Sine beta process as the eigenvalues of an associated operator with a specific boundary condition.

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 We characterize the Palm measure of the Sine beta process as the eigenvalues of an associated operator with a specific boundary condition. result 0.66 0.88 0.84 asserted 1.00

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

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  • references and citing sentences
  • relations to other papers
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  • 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

We characterize the Palm measure of the Sine beta process as the eigenvalues of an associated operator with a specific boundary condition.

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What this paper does with the arXiv papers it cites

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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Cites as support 1 paper

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