Derives closed-form distributions for first-stopping times P(T_FS=t), stopping probability P_S(t), and last-stopping times P(T_LS=t) plus joint distributions in the deterministic CA traffic model with a phase transition at density p=1/2.
Lobb, Deriving the nth Catalan number, The Mathematical Gazette 83, 109 (1999)
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First-passage processes in a deterministic one-dimensional cellular automaton model of traffic flow
Derives closed-form distributions for first-stopping times P(T_FS=t), stopping probability P_S(t), and last-stopping times P(T_LS=t) plus joint distributions in the deterministic CA traffic model with a phase transition at density p=1/2.