Note on the Multifractal Formalism of Covering Number on the Galton-Watson Tree
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Authors: N. ATTIA AND M. BEN HADJ KHALIFA
DOI: 10.46793/KgJMat2501.043A
Abstract:
Keywords:
Random covering, Hausdorff dimension, indexed martingale, Galton-Watson tree.
References:
[1] N. Attia, On the exact dimension of Mandelbrot measure, Probab. Math. Statist. 39(2) (2019), 299–314. https://doi.org/10.19195/0208-4147.39.2.4
[2] N. Attia, Hausdorff and packing dimensions of Mandelbrot measure, Internat. J. Math. 31(9) (2020), Article ID 2050068. https://doi.org/10.1142/S0129167X20500688
[3] N. Attia, On the
multifractal analysis of branching random walk on Galton-Watson
tree with random metric, J. Theoret. Probab. 34(1) (2020), 90–102.
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