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Showing 2017 · math.PRShow all
3 papers · 2 filters
math.PR2017★ 4 cited
Large deviations for level sets of branching Brownian motion and Gaussian free fields
Elie Aïdékon, Yueyun Hu, Zhan Shi
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 cor…
math.PR2017★ 32 cited
Universal limits of substitution-closed permutation classes
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +3
We consider uniform random permutations in proper substitution-closed classes and study their limiting behavior in the sense of permutons. The limit depends on the generating serie…
math.PR2017★ 14 cited
The free energy in the Derrida--Retaux recursive model
Yueyun Hu, Zhan Shi
We are interested in a simple max-type recursive model studied by Derrida and Retaux (2014) in the context of a physics problem, and find a wide range for the exponent in the free…