517 citations · 1k across the 29 of their papers we have counts for
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math.PR2021★ 1 cited
Large deviations for the interchange process on the interval and incompressible flows
Michał Kotowski, Bálint Virág
We use the framework of permuton processes to show that large deviations of the interchange process are controlled by the Dirichlet energy. This establishes a rigorous connection b…
math.PR2021★ 11 cited
RSK in last passage percolation: a unified approach
Duncan Dauvergne, Mihai Nica, Bálint Virág
We present a version of the RSK correspondence based on the Pitman transform and geometric considerations. This version unifies ordinary RSK, dual RSK and continuous RSK. We show t…
math.PR2021
The scaling limit of the longest increasing subsequence
Duncan Dauvergne, Bálint Virág
We provide a framework for proving convergence to the directed landscape, the central object in the Kardar-Parisi-Zhang universality class. For last passage models, we show that co…