q-analysis of fractal sets


Erzan A., Eckmann J.

PHYSICAL REVIEW LETTERS, cilt.78, sa.17, ss.3245-3248, 1997 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Konu: 17
  • Basım Tarihi: 1997
  • Doi Numarası: 10.1103/physrevlett.78.3245
  • Dergi Adı: PHYSICAL REVIEW LETTERS
  • Sayfa Sayıları: ss.3245-3248

Özet

q-derivatives can be identified with the generators of fractal and multifractal sets with discrete dilatation symmetries. Besides providing a natural language in which to discuss homogeneous functions with oscillatory amplitudes, this also allows one to discuss cascade models with continuous scale changes.