Abstract
Abstract We establish the asymptotic behaviour of the partition function, the heat content, the integrated eigenvalue counting function, and, for certain points, the on-diagonal heat kernel of generalized Sierpinski carpets. For all these functions the leading term is of the form xγΦ (log x) for a suitable exponent γ and Φ a periodic function. We also discuss similar results for the heat content of affine nested fractals.
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