Alexander Dunlap

activity

20182023

most citedRenormalization flow for the 2D nonlinear stochastic heat equation: pointwise statistics and universality

2 citations · 2 across the 2 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.PR2018

Subsequential scaling limits for Liouville graph distance

Jian Ding, Alexander Dunlap

For $0 < γ < 2$ and $δ > 0$ , we consider the Liouville graph distance, which is the minimal number of Euclidean balls of $γ$ -Liouville quantum gravity measure at most $δ$ whose union con…

math.PR2018

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 $d \geq 3$ with a small coupling constant, driven…

math.PR2018

Constructing a solution of the $(2 + 1)$ -dimensional KPZ equation

Sourav Chatterjee, Alexander Dunlap

The $(d + 1)$ -dimensional KPZ equation is the canonical model for the growth of rough $d$ -dimensional random surfaces. A deep mathematical understanding of the KPZ equation for $d = 1$ …

Subsequential scaling limits for Liouville graph distance

Fluctuations of the solutions to the KPZ equation in dimensions three and higher

Constructing a solution of the (2+1)-dimensional KPZ equation

Constructing a solution of the $(2 + 1)$ -dimensional KPZ equation