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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 457, Pages 12–36 (Mi znsl6435)  
This article is cited in 5 scientific papers (total in 5 papers)

Large deviations for level sets of branching Brownian motion and Gaussian free fields

E. Aїdékona, Yueyun Hub, Zhan Shia

a LPMA, Université Pierre et Marie Curie, 4 place Jussieu, F-75252 Paris Cedex 05, France
b LAGA, Université Paris XIII, 99 avenue J-B Clément, F-93430 Villetaneuse, France
Full-text PDF (299 kB) Citations (5)
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Abstract: We study deviation probabilities for the number of high positioned particles in branching Brownian motion, and confirm a conjecture of Derrida and Shi [10]. We also solve the corresponding problem for the two-dimensional discrete Gaussian free field. Our method relies on an elementary inequality for inhomogeneous Galton–Watson processes.
Key words and phrases: branching Brownian motion, Gaussian free field, large deviation.
Funding agency Grant number
Agence Nationale de la Recherche MALIN
GRAAL
Liouville
The project was partly supported by the ANR project MALIN; E.A. also acknowledges supports from ANR GRAAL and ANR Liouville.
Received: 11.09.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 4, Pages 348–365
DOI: https://doi.org/10.1007/s10958-019-04243-8
Document Type: Article
UDC: 519.2
Language: English
Citation: E. Aïdékon, Yueyun Hu, Zhan Shi, “Large deviations for level sets of branching Brownian motion and Gaussian free fields”, Probability and statistics. Part 25, Zap. Nauchn. Sem. POMI, 457, POMI, St. Petersburg, 2017, 12–36; J. Math. Sci. (N. Y.), 238:4 (2019), 348–365
Citation in format AMSBIB
\Bibitem{AdeHuShi17}
\by E.~A\"{\i}d\'ekon, Yueyun~Hu, Zhan~Shi
\paper Large deviations for level sets of branching Brownian motion and Gaussian free fields
\inbook Probability and statistics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 457
\pages 12--36
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6435}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 4
\pages 348--365
\crossref{https://doi.org/10.1007/s10958-019-04243-8}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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