6 citations · 18 across the 8 of their papers we have counts for
9 papers
Public efforts to reduce disease transmission implied from a spatial game
James Burridge, Michal Gnacik
One approach to understand people's efforts to reduce disease transmission, is to consider the effect of behaviour on case rates. In this paper we present a spatial infection-reduc…
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…
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…
Quasifree stochastic cocycles and quantum random walks
Alexander C. R. Belton, Michal Gnacik, J. Martin Lindsay +1
The theory of quasifree quantum stochastic calculus for infinite-dimensional noise is developed within the framework of Hudson-Parthasarathy quantum stochastic calculus. The questi…
Infrequent social interaction can accelerate the spread of a persuasive idea
James Burridge, Michal Gnacik
We study the spread of a persuasive new idea through a population of continuous-time random walkers in one dimension. The idea spreads via social gatherings involving groups of nea…