13 citations · 52 across the 13 of their papers we have counts for
4 papers · 1 filter
The bullet problem with discrete speeds
Brittany Dygert, Christoph Kinzel, Jennifer Zhu +3
Bullets are fired, one per second, with independent speeds sampled uniformly from a discrete set. Collisions result in mutual annihilation. We show that the second fastest bullet s…
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.…
Local limit of the fixed point forest
Tobias Johnson, Anne Schilling, Erik Slivken
Consider the following partial "sorting algorithm" on permutations: take the first entry of the permutation in one-line notation and insert it into the position of its own value. C…