483 citations · 1.4k across the 27 of their papers we have counts for
27 papers
Percolation in a triangle on a square lattice
Zbigniew Koza
Percolation on a plane is usually associated with clusters spanning two opposite sides of a rectangular system. Here we investigate three-leg clusters generated on a square lattice…
Jammed systems of oriented dimers always percolate on hypercubic lattices
Zbigniew Koza, Grzegorz Kondrat
Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Here we consider jammed states of the RSA process o…
Critical p=1/2 in percolation on semi-infinite strips
Zbigniew Koza
We study site percolation on lattices confined to a semi-infinite strip. For triangular and square lattices we find that the probability that a cluster touches the three sides of s…
Jammed systems of oriented needles always percolate on square lattices
Grzegorz Kondrat, Zbigniew Koza, Piotr Brzeski
Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in t…
Percolation of overlapping squares or cubes on a lattice
Zbigniew Koza, Grzegorz Kondrat, Karol Suszczyński
Porous media are often modelled as systems of overlapping obstacles, which leads to the problem of two percolation thresholds in such systems, one for the porous matrix and the oth…
From discrete to continuous percolation in dimensions 3 to 7
Zbigniew Koza, Jakub Poła
We propose a method of studying the continuous percolation of aligned objects as a limit of a corresponding discrete model. We show that the convergence of a discrete model to its…