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摘要
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 x(gamma)phi(log x) for a suitable exponent gamma and phi a periodic function. We also discuss similar results for the heat content of affine nested fractals.
- 出版日期2011-2
