162 citations · 636 across the 23 of their papers we have counts for
32 papers
Higher-order fluctuations in dense random graph models
Gursharn Kaur, Adrian Röllin
Our main results are quantitative bounds in the multivariate normal approximation of centred subgraph counts in random graphs generated by a general graphon and independent vertex…
Palm theory, random measures and Stein couplings
Louis H. Y. Chen, Adrian Röllin, Aihua Xia
We establish a general Berry-Esseen type bound which gives optimal bounds in many situations under suitable moment assumptions. By combining the general bound with Palm theory, we…
Arcsine laws for random walks generated from random permutations with applications to genomics
Xiao Fang, Han Liang Gan, Susan Holmes +4
A classical result for the simple symmetric random walk with steps is that the number of steps above the origin, the time of the last visit to the origin, and the time of the…
Exponential and Laplace approximation for occupation statistics of branching random walk
Erol Peköz, Adrian Röllin, Nathan Ross
We study occupancy counts for the critical nearest-neighbor branching random walk on the -dimensional lattice, conditioned on non-extinction. For , Lalley and Zheng (20…
Graphon-valued stochastic processes from population genetics
Siva Athreya, Frank den Hollander, Adrian Röllin
The goal of this paper is to develop a theory of graphon-valued stochastic processes, and to construct and analyse a natural class of such processes arising from population genetic…
Stein's method via induction
Louis H. Y. Chen, Larry Goldstein, Adrian Röllin
Applying an inductive technique for Stein and zero bias couplings yields Berry-Esseen theorems for normal approximation for two new examples. The conditions of the main results do…