4 papers
On total weight exiting finite, strongly connected sets in shift-invariant weighted directed graphs on
Daniel J. Slonim
For a shift-invariant weighted directed graph with vertex set , we examine the minimal weight exiting a finite, strongly connected set of vertices. Although …
Ballisticity of Random walks in Random Environments on with Bounded Jumps
Daniel J. Slonim
We characterize ballistic behavior for general i.i.d. random walks in random environments on with bounded jumps. The two characterizations we provide do not use unifor…
Random Walks in Dirichlet Random Environments on with Bounded Jumps
Daniel J. Slonim
We examine a class of random walks in random environments on with bounded jumps, a generalization of the classic one-dimensional model. The environments we study have…
Interleaving of path sets
William C. Abram, Jeffrey C. Lagarias, Daniel Slonim
Path sets are spaces of one-sided infinite symbol sequences corresponding to the one-sided infinite walks beginning at a fixed initial vertex in a directed labeled graph. Path sets…