Patrick Carper

A Branching Process with Geometric Emigration and the"Have Your Cookie and Eat It"Random Walk

We consider a random walk on the integers that at each site is biased to step right until the first time it has stepped left from that site, thereafter stepping left or right from that site with equal chance, introduced by Pinsky. Pinsky calculated the speed of the walk and the probability that such a walk escapes to i...