Behavior of 1-dimensional reinforced random walk
The author extends Davis' results to matrix type weight processes and investigates the conditions on the initial weights under which it can be observed transience of the walk. Also, a recurrence criterion in terms of initial weights of a Diaconis walk is given. Finally, the law of large numbers is considered. For related papers see \textit{B. Davis} [Probab. Theory Relat. Fields 84, No. 2, 203-229 (1990; Zbl 0665.60077)], \textit{P. Diaconis} [in: Bayesian statistics 3, 111-125 (1988; Zbl 0707.60033)] and \textit{R. Pemantle} [Ann. Probab. 16, No. 3, 1229-1241 (1988; Zbl 0648.60077)].
scientific article; zbMATH DE number 1515479