New Classes of Orthogonal Polynomials Derived from Orthogonal Polynomials on the Sierpinski Gasket

Shi, Helen

2023

Description
  • A fractal is an infinitely self-similar geometric shape. The graph Laplacian can be used to emulate differential equations over graph approximations of fractals. It is possible to define a Green’s function to provide solutions to Laplacian-based differential equations, which can be used to generate polynomials over fractals. These polynomials can be orthogonalized with the Gram-Schmidt process. ... read more
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