Fractal vector measures and vector calculus on planar fractal domains

Chaos, Solitons and Fractals

Volumn 14, Issue 8, 2002, Pages 1239-1254

  Mendivil, F ^a   Vrscay, E R ^b  

^a ACADIA UNIVERSITY   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROCHEMICAL ELECTRODES; ELECTROLYTES; GREEN'S FUNCTION; ITERATIVE METHODS; PROBABILITY; VECTORS;

ITERATED FUNCTION SYSTEMS (IFS);

FRACTALS;

EID: 0036833078     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00073-5     Document Type: Article

References (28)

1. Iterated function systems and the global construction of fractals
2. Markov operators on the space of vector measures; Coloured fractals
3. A general bilinear vector integral
4. Invariant sets under iteration of rational functions
5. Vector-valued multifractal measures
6. Chaos games for iterated function systems with grey level maps
7. Contour integrals and vector calculus on fractal curves and interfaces
8. Adsorption kinetics on fractal surfaces
9. Flux across nonsmooth boundaries and fractal Gauss/Green/Stokes theorems
10. The Gauss-Green Theorem for fractal boundaries
11. Fractals and self-similarity
12. Iterated function systems: Theory, application and the inverse problem