Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Gnacik, Michal"'
Autor:
Burridge, James, Gnacik, Michal
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-reducing game model of public behaviour, formally equivalent to a Hopfield
Externí odkaz:
http://arxiv.org/abs/2107.10576
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 location at the arrival times of a non-homogeneous Poisson process on
Externí odkaz:
http://arxiv.org/abs/2004.05394
Kalton and Roberts [Trans. Amer. Math. Soc., 278 (1983), 803--816] proved that there exists a universal constant $K\leqslant 44.5$ such that for every set algebra $\mathcal{F}$ and every 1-additive function $f\colon \mathcal{F}\to \mathbb R$ there ex
Externí odkaz:
http://arxiv.org/abs/2003.01193
Autor:
Gnacik, Michal, Kania, Tomasz
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 inverse problem for symmetric doubly stochastic matrices that is still ope
Externí odkaz:
http://arxiv.org/abs/1909.01291
Publikováno v:
Phys. Rev. E 99, 032305 (2019)
Spatial linguistic surveys often reveal well defined geographical zones where certain linguistic forms are dominant over their alternatives. It has been suggested that these patterns may be understood by analogy with coarsening in models of two dimen
Externí odkaz:
http://arxiv.org/abs/1811.08788
Publikováno v:
J. Stat. Mech. (2018) 083207
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 requires them to memorise the locations they have visited. We model m
Externí odkaz:
http://arxiv.org/abs/1806.01392
Publikováno v:
Ann. Henri Poincar\'e 19 (2018), 1711-1746
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. Our approach also delivers convergence of the pointwise product of quan
Externí odkaz:
http://arxiv.org/abs/1712.02848
The theory of quasifree quantum stochastic calculus for infinite-dimensional noise is developed within the framework of Hudson-Parthasarathy quantum stochastic calculus. The question of uniqueness for the covariance amplitude with respect to which a
Externí odkaz:
http://arxiv.org/abs/1704.00682
Autor:
Gnacik, Michal
In this thesis we investigate the convergence of various quantum random walks to quantum stochastic cocycles defined on a Bosonic Fock space. We prove a quantum analogue of the Donsker invariance principle by invoking the so-called semigroup represen
Externí odkaz:
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.617328
Autor:
Burridge, James, Gnacik, Michal
Publikováno v:
Phys. Rev. E 94, 062319 (2016)
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 nearby walkers who act according to a biased "majority rule": After each
Externí odkaz:
http://arxiv.org/abs/1609.09418