Electrical networks on $n$-simplex fractals
| dc.creator | Burioni, R. | |
| dc.creator | Cassi, D. | |
| dc.creator | Neri, F. M. | |
| dc.date | 2007-09-27 | |
| dc.date.accessioned | 2026-07-07T08:32:35Z | |
| dc.date.available | 2026-07-07T08:32:35Z | |
| dc.description | The decimation map $\mathcal{D}$ for a network of admittances on an $n$-simplex lattice fractal is studied. The asymptotic behaviour of $\mathcal{D}$ for large-size fractals is examined. It is found that in the vicinity of the isotropic point the eigenspaces of the linearized map are always three for $n \geq 4$; they are given a characterization in terms of graph theory. A new anisotropy exponent, related to the third eigenspace, is found, with a value crossing over from $\ln[(n+2)/3]/\ln 2$ to $\ln[(n+2)^3/n(n+1)^2]/\ln 2$. | |
| dc.description | 14 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0709.4360 | |
| dc.identifier | http://arxiv.org/abs/0709.4360 | |
| dc.identifier | Journal of Physics A 40, 12397-12408 (2007) | |
| dc.identifier | doi:10.1088/1751-8113/40/41/009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138838 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Electrical networks on $n$-simplex fractals | |
| dc.type | text |