517 citations · 1k across the 29 of their papers we have counts for
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Bulk properties of the Airy line ensemble
Duncan Dauvergne, Bálint Virág
The Airy line ensemble is a central object in random matrix theory and last passage percolation defined by a determinantal formula. The goal of this paper is to provide a set of to…
The directed landscape
Duncan Dauvergne, Janosch Ortmann, Balint Virag
The conjectured limit of last passage percolation is a scale-invariant, independent, stationary increment process with respect to metric composition. We prove this for Brownian las…
Entropy and expansion
Endre Csóka, Viktor Harangi, Bálint Virág
Shearer's inequality bounds the sum of joint entropies of random variables in terms of the total joint entropy. We give another lower bound for the same sum in terms of the individ…
Circular support in random sorting networks
Duncan Dauvergne, Bálint Virág
A sorting network is a shortest path from to in the Cayley graph of the symmetric group generated by adjacent transpositions. For a uniform random sort…