Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar (Q826457)

The authors study the analogue of polynomials on the Sierpiński gasket with respect to a family of symmetric, self-similar Laplacians. They then present some data which suggest surprising relationships between the values of the monomials at the boundary and certain Neumann eigenvalues of the family of symmetric self-similar Laplacians. Surprisingly, the results for the general case are quite different from the results for the Kigami Laplacian.