Record statistics for random walk bridges
Claude Godreche 1 Satya N. Majumdar 2 Gregory Schehr 2 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2015 We investigate the statistics of records in a random sequence $\{x_B(0)=0,x_B(1),\cdots, x_B(n)=x_B(0)=0\}$ of $n$ time steps. The sequence $x_B(k)$’s represents the position at step $k$ of a random walk `bridge’ of $n$ steps that starts […]
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