517 citations · 1k across the 29 of their papers we have counts for
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math.PR2020★ 25 cited
Three-halves variation of geodesics in the directed landscape
Duncan Dauvergne, Sourav Sarkar, Bálint Virág
We show that geodesics in the directed landscape have -variation and that weight functions along the geodesics have cubic variation. We show that the geodesic and its landscap…
math.PR2020★ 9 cited
The many faces of the stochastic zeta function
Benedek Valkó, Bálint Virág
We introduce a framework to study the random entire function whose zeros are given by the Sine process, the bulk limit of beta ensembles. We present several equivalent ch…
math.PR2020★ 25 cited
Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition
Sourav Sarkar, Bálint Virág
We show that the law of the KPZ fixed point starting from arbitrary initial condition is absolutely continuous with respect to the law of Brownian motion on every compact inter…