13 citations · 52 across the 13 of their papers we have counts for
4 papers · 1 filter
Maximal spanning time for neighborhood growth on the Hamming plane
Janko Gravner, J. E. Paguyo, Erik Slivken
We consider a long-range growth dynamics on the two-dimensional integer lattice, initialized by a finite set of occupied points. Subsequently, a site becomes occupied if the pa…
Asymptotic distribution of fixed points of pattern-avoiding involutions
Samuel Miner, Douglas Rizzolo, Erik Slivken
For a variety of pattern-avoiding classes, we describe the limiting distribution for the number of fixed points for involutions chosen uniformly at random from that class. In parti…
Neighborhood growth dynamics on the Hamming plane
Janko Gravner, David Sivakoff, Erik Slivken
We initiate the study of general neighborhood growth dynamics on two dimensional Hamming graphs. The decision to add a point is made by counting the currently occupied points on th…
Fixed points of 321-avoiding permutations
Christopher Hoffman, Douglas Rizzolo, Erik Slivken
We describe the distribution of the number and location of the fixed points of permu- tations that avoid the pattern 321 via a bijection with rooted plane trees on n + 1 vertices.…