CALCULATION OF SPECTRAL DIMENSION ON INHOMOGENEOUS FRACTAL LATTICES

We propose a:scheme to derive the spectral dimension of inhomogeneous fractal lattice via renormalization procedure, in which the distributi on of masses on the sites of fractals is introduced. The spectral dime nsion of diamond-type hierarchical lattice and Sierpinski gasket with b = 3 are re-investigated in this way. Moreover, the variants of Sierp inski gasket-type fractals are studied, the results show that the spec tral dimension is independent of the details of internal structure of fractal, and thus implies the existence of universality. The source of the universality is also analyzed.