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A Branching-selection process related to censored Galton-Walton processes

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Olivier Couronné (MODAL'X), Lucas Gerin (MODAL'X)

Probability · Submitted 4 Nov 2011

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

The authors' main claim We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by B\'erard and Gou\'er\'e (2010).

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arXiv ID1111.1078 (version 2)
Pith IDKSLQDDO2, Pith's permanent record of this paper and its review
CitationLucas Gerin (MODAL'X), Olivier Couronn\'e (MODAL'X). "A Branching-selection process related to censored Galton-Walton processes." arXiv:1111.1078 (2011). https://pith.science/paper/KSLQDDO2
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,284 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by B\'erard and Gou\'er\'e (2010). The proof is based on a connection with a supercritical Galton-Watson process censored at a certain level.

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 obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by B\'erard and Gou\'er\'e (2010). contribution 0.52 0.95 0.83 asserted 1.00
s1 The proof is based on a connection with a supercritical Galton-Watson process censored at a certain level. method 1.00 0.69 0.08 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 obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by B\'erard and Gou\'er\'e (2010). The proof is based on a connection with a supercritical Galton-Watson process censored at a certain level.

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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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  • This other case corresponds for large $N$ to the assumption $β×(η=a)>1$ for the BRW with selection, where the corrections are exponentially small [ref] , precisely given by $ρ^N$ with $ρ<1$ the extinction probability of the supercritical Galton-Watson process of particles located at site $ta$ at time $t$.

    Last passage percolation and traveling fronts · Definition of the model · 0.93

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