论文信息 - Sierpiński Gasket versus Arrowhead curve

Sierpiński Gasket versus Arrowhead curve

Abstract In the sequel, we extend the theoretical comparison of the Arrowhead Curve and the Sierpinski Gasket, on a numerical point of view, by studying diffusion on both objects, in the purpose of understanding the part played by the initial topological differences.

Claire David | Nizar Riane | Claire David | Nizare Riane | Nizare Riane

[1] Claire David. Bypassing dynamical systems: a simple way to get the box-counting dimension of the graph of the Weierstrass function , 2017, Proceedings of the International Geometry Center.

[2] J. Kigami,et al. Analysis on Fractals , 2001 .

[3] U. Freiberg. Einstein Relation on Fractal Objects , 2008 .

[4] Claire David,et al. The finite difference method for the heat equation on Sierpiński simplices , 2018, Int. J. Comput. Math..

[5] Claire David. On fractal properties of Weierstrass-type functions , 2019, Proceedings of the International Geometry Center.

[6] Umberto Mosco,et al. Energy Functionals on Certain Fractal Structures , 2003 .

[7] Jaak Peetre,et al. Function spaces on subsets of Rn , 1984 .

[8] R. Strichartz. ANALYSIS ON FRACTALS , 1999 .

[9] Robert S. Strichartz,et al. Differential Equations on Fractals: A Tutorial , 2006 .

[10] J. Kigami,et al. Harmonic analysis for resistance forms , 2003 .

[11] M. Barnsley,et al. Iterated function systems and the global construction of fractals , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.