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math.CO2022
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 …
math.PR2022
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…