4 papers
Letter frequency in shifts of finite type with one forbidden word
Miklós Bóna, Balázs Maga, Jacob Richey
This work considers combinatorial and statistical aspects of {\em{shifts of finite type}}, which are families of words over a finite alphabet which avoid a fixed class of {\emph{fo…
Local Density of Activated Random Walk on
Christopher Hoffman, Jacob Richey, Hyojeong Son
We consider one-dimensional activated random walk (ARW) on started from a `point source' initial condition, with many particles at the origin and no other particles. W…
Explosivity in 1-d Activated Random Walk
Nicolas Forien, Christopher Hoffman, Tobias Johnson +3
We show that Activated Random Walk on is explosive above criticality. That is, activating a single particle in a supercritical state of sleeping particles triggers an…
The odometer in subcritical activated random walk
Tobias Johnson, Jacob Richey
We consider the activated random walk particle system, a model of self-organized criticality, on with i.i.d.-Bernoulli initial configuration. We show that at subcritic…