61 citations · 339 across the 34 of their papers we have counts for
3 papers · 1 filter
Oil and water: a two-type internal aggregation model
Elisabetta Candellero, Shirshendu Ganguly, Christopher Hoffman +1
We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n "oil" and n "water" particles at the origin, the particles diffuse in…
Pattern-avoiding permutations and Brownian excursion Part I: Shapes and fluctuations
Christopher Hoffman, Douglas Rizzolo, Erik Slivken
Permutations that avoid given patterns are among the most classical objects in combinatorics and have strong connections to many fields of mathematics, computer science and biology…
Recurrence and transience for the frog model on trees
Christopher Hoffman, Tobias Johnson, Matthew Junge
The frog model is a growing system of random walks where a particle is added whenever a new site is visited. A longstanding open question is how often the root is visited on the in…