The cantor distribution and fractal transition scattering

Author: Bolotov, V.

Source: Technical Physics, Volume 47, Number 2, February 2002 , pp. 148-155(8)

Publisher: MAIK Nauka/Interperiodica

Buy & download fulltext article:

Price: $45.00 plus tax (Refund Policy)

Abstract:

A new distribution is introduced for the elaboration of a theory of fractal electrodynamics. The construction of the new distribution is based on the Cantor set structure and Cantor measures. The basic properties of this Cantor distribution are discussed. The semigroup of operators defined in terms of Cantor measures is examined. As an example, the theory of transition scattering of a dissipative permittivity burst by a stationary charge is considered.

Document Type: Research article

DOI: http://dx.doi.org/10.1134/1.1451959

Affiliations: 1: Email: renic@iemr.vl.net.ua

Publication date: 2002-02-01