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math.CO2026
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…
math.PR2026
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…
math.PR2026
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…