6 citations · 18 across the 8 of their papers we have counts for
3 papers · 1 filter
Size and shape of tracked Brownian bridges
Abdulrahman Alsolami, James Burridge, Michal Gnacik
We investigate the typical sizes and shapes of sets of points obtained by irregularly tracking two-dimensional Brownian bridges. The tracking process consists of observing the path…
The shape of a memorised random walk
Michal Gnacik, Abdulrahman Alsolami, James Burridge
We view random walks as the paths of foraging animals, perhaps searching for food or avoiding predators while forming a mental map of their surroundings. The formation of such maps…
Strong convergence of quantum random walks via semigroup decomposition
Alexander C. R. Belton, Michal Gnacik, J. Martin Lindsay
We give a simple and direct treatment of the strong convergence of quantum random walks to quantum stochastic operator cocycles, via the semigroup decomposition of such cocycles. O…