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Limit Theorems for Motions in a Flow with a Nonzero Drift

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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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Albert Fannjiang (Department of Mathematics, University of California, Davis), Tomasz Komorowski (Institute of Mathemathics, Maria Curie-Sk{l}odowska University, Lublin)

Probability · Submitted 27 Jul 1999

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

The authors' main claim We establish diffusion and fractional Brownian motion approximations for motions in a Markovian Gaussian random field with a nonzero mean.

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arXiv IDmath/9907159 (version 1)
Pith ID6SXYHVPT, Pith's permanent record of this paper and its review
CitationAlbert Fannjiang (Department of Mathematics, Davis), Lublin), Maria Curie-Sk{\l}odowska University, Tomasz Komorowski (Institute of Mathemathics, University of California. "Limit Theorems for Motions in a Flow with a Nonzero Drift." arXiv:math/9907159 (1999). https://pith.science/paper/6SXYHVPT
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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, 1,600 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We establish diffusion and fractional Brownian motion approximations for motions in a Markovian Gaussian random field with a nonzero mean.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We establish diffusion and fractional Brownian motion approximations for motions in a Markovian Gaussian random field with a nonzero mean. contribution 0.79 0.95 0.88 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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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 establish diffusion and fractional Brownian motion approximations for motions in a Markovian Gaussian random field with a nonzero mean.

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