Exact Packing Measure on the Boundary of a Galton–Watson Tree | Zendy

Watanabe Toshiro | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Exact Packing Measure on the Boundary of a Galton–Watson Tree

Author(s) -

Watanabe Toshiro

Publication year - 2004

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610704005319

Subject(s) - measure (data warehouse) , mathematics , boundary (topology) , tree (set theory) , infinity , zero (linguistics) , combinatorics , mathematical analysis , computer science , linguistics , philosophy , database

A necessary and sufficient condition for the almost sure existence of the exact packing measure on the boundary of a Galton–Watson tree is obtained with an explicit exact packing measure. In the case where the exact packing measure does not exist almost surely, a criterion which classifies functions ϕ according to whether the ϕ packing measure is zero or infinity is given.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research