26 citations · 123 across the 18 of their papers we have counts for
4 papers · 2 filters
Subsequential scaling limits for Liouville graph distance
Jian Ding, Alexander Dunlap
For and , we consider the Liouville graph distance, which is the minimal number of Euclidean balls of -Liouville quantum gravity measure at most whose union con…
Fluctuations of the solutions to the KPZ equation in dimensions three and higher
Alexander Dunlap, Yu Gu, Lenya Ryzhik +1
We prove, using probabilistic techniques and analysis on the Wiener space, that the large scale fluctuations of the KPZ equation in with a small coupling constant, driven…
Constructing a solution of the -dimensional KPZ equation
Sourav Chatterjee, Alexander Dunlap
The -dimensional KPZ equation is the canonical model for the growth of rough -dimensional random surfaces. A deep mathematical understanding of the KPZ equation for …
The random heat equation in dimensions three and higher: the homogenization viewpoint
Alexander Dunlap, Yu Gu, Lenya Ryzhik +1
We consider the stochastic heat equation , with a smooth space-time stationary Gaussian random field , in dimensions ,…