Geodesic
Large deviations for level sets of branching Brownian motion and Gaussian free fields
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 25, Tome 457 (2017), pp. 12-36 
E. Aïdékon; Yueyun Hu; Zhan Shi. Large deviations for level sets of branching Brownian motion and Gaussian free fields. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 25, Tome 457 (2017), pp. 12-36. http://geodesic.mathdoc.fr/item/ZNSL_2017_457_a2/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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