Nicholas F. Travers

collaborators

2 papers

math.PR2014

Transience, Recurrence and the Speed of a Random Walk in a Site-Based Feedback Environment

Ross G. Pinsky, Nicholas F. Travers

We study a random walk on $Z$ which evolves in a dynamic environment determined by its own trajectory. Sites flip back and forth between two modes, $p$ and $q$ . $R$ consec…

math.PR2014

Inversions and Longest Increasing Subsequence for $k$ -Card-Minimum Random Permutations

Nicholas F. Travers

A random $n$ -permutation may be generated by sequentially removing random cards $C_{1}, ..., C_{n}$ from an $n$ -card deck $D = {1, ..., n}$ . The permutation $σ$ is simply the sequence of…

Transience, Recurrence and the Speed of a Random Walk in a Site-Based Feedback Environment

Inversions and Longest Increasing Subsequence for k-Card-Minimum Random Permutations

Inversions and Longest Increasing Subsequence for $k$ -Card-Minimum Random Permutations