Fractal Labyrinths: Path Matrices and Borders Topology
In this paper some elements of the theory of fractal labyrinths are presented using fractional calculus mathematics and random walk model. A model of finitely ramified deter ministic labyrinth fractal on a square grid is built, topology of its boundaries is defined, its pathways are calculated using the path matrices up to isomorphism accuracy with respect to rotation and flipping. The path matrices were calculated using the Jordan decomposition. For the constructed model of a fractal labyrinth there have been obtained numerical values of the labyrinth paths lengths before its exits, allowing obtaining the characteristics of the simulated fractal environment.
V.I.Grachev
Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Russia
国际会议
Progress in Electromagnetics Research Symposium 2014(2014年电磁学研究新进展学术研讨会)
广州
英文
1300-1303
2014-08-01（万方平台首次上网日期，不代表论文的发表时间）