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math.PR2020★ 1 cited
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…
math.PR2018
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…