On the Multifractal Analysis of Branching Random Walk on Galton–Watson Tree with Random Metric

Najmeddine Attia ()
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Najmeddine Attia: Faculté des Sciences de Monastir

Journal of Theoretical Probability, 2021, vol. 34, issue 1, 90-102

Abstract: Abstract We consider a branching random walk $$S_nX(t)$$ S n X ( t ) on a supercritical random Galton–Watson tree. We compute the Hausdorff and packing dimensions of the level set $$E(\alpha )$$ E ( α ) of infinite branches in the boundary of tree endowed with random metric along which the average of $$S_n X(t)/n$$ S n X ( t ) / n have a given limit point.

Keywords: Galton–Watson tree; Random walk; Hausdorff and packing dimensions; 60G50; 11K55 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10959-019-00984-z

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