Self‐Similarity and Probability: Parameters Describing the Geometry of Cantor Sets | Zendy

Bandt Christoph | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Self‐Similarity and Probability: Parameters Describing the Geometry of Cantor Sets

Author(s) -

Bandt Christoph

Publication year - 1999

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609398005293

Subject(s) - mathematics , cantor set , similarity (geometry) , probability density function , space (punctuation) , probability measure , set (abstract data type) , probability distribution , random variable , geometry , mathematical analysis , statistical physics , discrete mathematics , statistics , artificial intelligence , linguistics , philosophy , computer science , image (mathematics) , programming language , physics

A deterministic self‐similar Cantor set F defines a natural probability space, the elements of which are neighbourhoods of various sizes of all points in F . Considering random variables on this probability space, some porosity and density parameters are explicitly calculated. 1991 Mathematics Subject Classification 28A80, 60D05.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research