7 citations · 10 across the 8 of their papers we have counts for
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math.AP2017★ 2 cited
A spectral study of the Minkowski Curve
Nizare Riane, Claire David
In the following, we give an explicit construction of a Laplacian on the Minkowski curve, with energy forms that bear the geometric characteristic of the structure. The spectrum of…
math.NA2017
The Finite difference method for the Minkowski Curve
Nizare Riane, Claire David
In this work, we describe how to approximate solutions of some partial differential equations using the finite difference method defined on the Minkowski self-similar curve.
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…