1 citations · 1 across the 1 of their papers we have counts for
5 papers
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…
Approximate modularity: Kalton's constant is not smaller than 3
Michal Gnacik, Marcin Guzik, Tomasz Kania
Kalton and Roberts [Trans. Amer. Math. Soc., 278 (1983), 803--816] proved that there exists a universal constant such that for every set algebra and…
Inverse problems for symmetric doubly stochastic matrices whose Suleĭmanova spectra are bounded below by 1/2
Michal Gnacik, Tomasz Kania
A new sufficient condition for a list of real numbers to be the spectrum of a symmetric doubly stochastic matrix is presented; this is a contribution to the classical spectral inve…
Statistical Physics of Language Maps in the USA
James Burridge, Bert Vaux, Michal Gnacik +1
Spatial linguistic surveys often reveal well defined geographical zones where certain linguistic forms are dominant over their alternatives. It has been suggested that these patter…
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…