Michael Damron

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J o u r n a l o f P r o b a b i l i t y Electron. Abstract We prove exponential concentration in i.i.d. first-passage percolation in Z d for all d ≥ 2 and general edge-weights (te). Precisely, under an exponential moment assumption (Ee αte < ∞ for some α > 0) on the edge-weight distribution, we prove the inequality P |T (0, x) − ET (0, x)| ≥ λ x1 log x1 ≤(More)
We introduce a new model for rill erosion. We start with a network similar to that in the Discrete Web** and instantiate a dynamics which makes the process highly non-Markovian. The behavior of nodes in the streams is similar to the behavior of Polya urns with time-dependent input. In this paper we use a combination of rigorous arguments and simulation(More)
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