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- W2009043799 abstract "The interplay of fractal geometry, analysis and stochastics on the one-parameter sequence of self-similar generalized Sierpinski gaskets is studied. An improved algorithm for the exact computation of mean crossing times through the generating graphs SG(m) of generalized Sierpinski gaskets sg(m) for m up to 37 is presented and numerical approximations up to m = 100 are shown. Moreover, an alternative method for the approximation of the mean crossing times, the walk and the spectral dimensions of these fractal sets based on quasi-random so-called rotor walks is developed, confidence bounds are calculated and numerical results are shown and compared with exact values (if available) and with known asymptotic formulas." @default.
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- W2009043799 date "2011-10-04" @default.
- W2009043799 modified "2023-09-26" @default.
- W2009043799 title "Exact Computation and Approximation of Stochastic and Analytic Parameters of Generalized Sierpinski Gaskets" @default.
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- W2009043799 doi "https://doi.org/10.1007/s11009-011-9254-7" @default.
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