Dimensions in Random Constructions.

We consider random fractals generated by random recursive constructions, prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide.

Grantor dc:publisher

University of North Texas

Year dc:date

2002

Author dc:creator

• Berlinkov, Artemi

Contributors dc:contributor

• Mauldin, R. Daniel
• Monticino, Michael G.
• Urbański, Mariusz
• Quintanilla, John
• Edgar, Gerald A.

• Geometrical constructions.
• Fractals.
• Dimension theory (Topology)
• packing measure
• packing dimension
• random fractals
• zero-one laws

Statement dc:rights

• Public
• Copyright
• Berlinkov, Artemi
• Copyright is held by the author, unless otherwise noted. All rights reserved.

Language dc:language

English

Identifier

oclc: 53403439
https://digital.library.unt.edu/ark:/67531/metadc3160/
ark: ark:/67531/metadc3160

OAI identifier oai:identifier

info:ark/67531/metadc3160