The Hausdorff Dimension of the Harmonic Measure on de Rham's Curve

Author: Nikitin P. P.  

Publisher: Springer Publishing Company

ISSN: 1072-3374

Source: Journal of Mathematical Sciences, Vol.121, Iss.3, 2004-05, pp. : 2409-2418

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Abstract

De Rham's curve obtained by the “trisection” of the square can also be considered as a boundary of the random walk based on two affine maps. The aim of the present paper is to calculate the Hausdorff dimension of the harmonic measure on the curve. Bibliography: 10 titles.