Scale Invariance in Percolation Theory and Fractals
| dc.creator | Entin, M. V. | |
| dc.creator | Entin, G. M. | |
| dc.date | 1997-02-22 | |
| dc.date.accessioned | 2026-07-07T09:11:34Z | |
| dc.date.available | 2026-07-07T09:11:34Z | |
| dc.description | The properties of the similarity transformation in percolation theory in the complex plane of the percolation probability are studied. It is shown that the percolation problem on a two-dimensional square lattice reduces to the Mandelbrot transformation, leading to a fractal behavior of the percolation probability in the complex plane. The hierarchical chains of impedances, reducing to a nonlinear mapping of the impedance space onto itself, are studied. An infinite continuation of the procedure leads to a fixed point. It is shown that the number of steps required to reach a neighborhood of this point has a fractal distribution. | |
| dc.description | LaTeX file and 2 PostScripts with 6 fig. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9702204 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9702204 | |
| dc.identifier | JETP Lett., Vol. 64, No. 6, 25 Sept. 1996 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151721 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Scale Invariance in Percolation Theory and Fractals | |
| dc.type | text |