59 citations · 216 across the 22 of their papers we have counts for
4 papers · 1 filter
Locality of critical percolation on expanding graph sequences
Michael Ren, Nike Sun
We study the locality of critical percolation on finite graphs: let be a sequence of finite graphs, converging locally weakly to a (random, rooted) infinite graph . Consid…
A second moment proof of the spread lemma
Elchanan Mossel, Jonathan Niles-Weed, Nike Sun +1
This note concerns a well-known result which we term the ``spread lemma,'' which establishes the existence (with high probability) of a desired structure in a random set. The sprea…
On the Second Kahn--Kalai Conjecture
Elchanan Mossel, Jonathan Niles-Weed, Nike Sun +1
For any given graph , we are interested in , the minimal such that the Erdős-Rényi graph contains a copy of with probability at least .…
Sharp threshold sequence and universality for Ising perceptron models
Shuta Nakajima, Nike Sun
We study a family of Ising perceptron models with -valued activation functions. This includes the classical half-space models, as well as some of the symmetric models cons…