arXiv subjects

Yu. A. Tolmacheva

Publications and source records attributed to Yu. A. Tolmacheva.

2 recordsLinked to original sources

arXiv2002

Revision of upper estimate of percolation threshold on square lattice

The more exact upper estimate of the percolation threshold for the {\it site problem} on the quadratic lattice ${\Bbb Z}^2$ have been found on the basis of the cluster decomposition. It is done by the number estimate of cycles on ${\Bbb Z}^2$ which maybe external boundaries of finite clusters

math-ph↗

arXiv2002

On the upper limit of percolation threshold in square lattice

The problem of percolation along sites of square lattice is studied. The number of contours being external boundaries for finite clusters has been estimated using geometric considerations. This estimation makes it possible to determine more precisely the upper limit for the percolation threshold.

math-ph↗