110 citations · 128 across the 6 of their papers we have counts for
7 papers
Polluted Modified Bootstrap Percolation
Janko Gravner, Alexander Holroyd, Sangchul Lee +1
In the polluted modified bootstrap percolation model, sites in the square lattice are independently initially occupied with probability or closed with probability . A site b…
Exceptional points of discrete-time random walks in planar domains
Yoshihiro Abe, Marek Biskup, Sangchul Lee
Given a sequence of lattice approximations of a bounded continuum domain with the vertices outside fused together into one bound…
On the joint distribution of descents and signs of permutations
Jason Fulman, Gene B. Kim, Sangchul Lee +1
We study the joint distribution of descents and sign for elements of the symmetric group and the hyperoctahedral group (Coxeter groups of types and ). For both groups, this…
Central limit theorem for peaks of a random permutation in a fixed conjugacy class of
Jason Fulman, Gene B. Kim, Sangchul Lee
The number of peaks of a random permutation is known to be asymptotically normal. We give a new proof of this and prove a central limit theorem for the distribution of peaks in a f…
A central limit theorem for descents and major indices in fixed conjugacy classes of
Gene B. Kim, Sangchul Lee
The distribution of descents in fixed conjugacy classes of has been studied, and it is shown that its moments have interesting properties. Kim and Lee showed, by using Curtis…
Central limit theorem for descents in conjugacy classes of
Gene B. Kim, Sangchul Lee
The distribution of descents in fixed conjugacy classes of has been studied, and it is shown that its moments have interesting properties. Fulman proved that the descent numb…
Link overlap, viability, and mutual percolation in multiplex networks
Byungjoon Min, Sangchul Lee, Kyu-Min Lee +1
Many real-world complex systems are best modeled by multiplex networks. The multiplexity has proved to have broad impact on the system's structure and function. Most theoretical st…