论文信息 - Resistance and spectral dimension of Sierpinski carpets

Resistance and spectral dimension of Sierpinski carpets

The authors announce results which prove the existence of the spectral dimension ds for Sierpinski carpets in two dimensions. Their method employs the Einstein relation zeta =d Omega -df. Using this, numerical calculations of the resistance of approximations to the Sierpinski carpet yield an accurate estimate for ds.

R. Bass | M. Barlow | J. Sherwood

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