2 papers
math.MG2018
Optimization on fractal sets
Nizar Riane, Claire David
We outline necessary and sufficient condition to the existence of extrmas of a function on a self-similar set, and we describe discrete gradient algorithm to find the extrema.
math.CO2017
Laplacian, on the Sierpinski tetrahedron
Nizare Riane, Claire David
Numerous work revolve around the Sierpinski gasket. Its three-dimensional analogue, the Sierpinski tetrahedron, obtained by means of an iterative process which consists in repeated…