On random fractals with infinite branching: Definition, measurability, dimensions

Artemi Berlinkov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We investigate the definition and measurability questions of random fractals with infinite branching, and find, under certain conditions, a formula for the upper and lower Minkowski dimensions. For the case of a random self-similar set we obtain the packing dimension.

Original languageEnglish
Pages (from-to)1080-1089
Number of pages10
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume49
Issue number4
DOIs
StatePublished - Nov 2013
Externally publishedYes

Keywords

  • Minkowski dimension
  • Packing dimension
  • Random fractal

Fingerprint

Dive into the research topics of 'On random fractals with infinite branching: Definition, measurability, dimensions'. Together they form a unique fingerprint.

Cite this