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arXiv · 1710.00348

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

Elie Aïdékon·Yueyun Hu·Zhan Shi
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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 (2016). 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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Elie Aïdékon, Yueyun Hu, Zhan Shi. 2017-10-01. Large deviations for level sets of branching Brownian motion and Gaussian free fields. https://arxiv.org/abs/1710.00348

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