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The family of V -variable fractals provides a means of interpolatingbetween two families of random fractals previously considered in the literature;scale irregular fractals (V = 1) and random recursive fractals (V = ∞). Weconsider a class of V -variable affine nested fractals based on the Sierpinskigasket with a general class of measures. We calculate the spectral exponentfor a general measure and find the spectral dimension for these fractals. Weshow that the spectral properties and on-diagonal heat kernel estimates forV -variable fractals are closer to those of scale irregular fractals, in that it isthe fluctuations in scale that determine their behaviour but that there are alsoeffects of the spatial variability

Spectral asymptotics for $V$-variable Sierpinski gaskets