Yuan-Ling Ye 2005 Nonlinearity 18 2111 doi:10.1088/0951-7715/18/5/012
Yuan-Ling Ye
Show affiliationsRecommended by J A Glazier
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introduced by the author (2004 J. Math. Anal. Appl. 299 341–56). Its variation is scalar measure. This paper proves that the Lq-spectrum of the variation measure is differentiable and the corresponding multifractal formalism holds, if the relevant IFS satisfies the open set condition. This result can be applied to the study of self-conformal (scalar) measures generated by certain IFS with overlaps.
Issue 5 (September 2005)
Received 16 July 2004, in final form 17 May 2005
Published 1 July 2005
Yuan-Ling Ye 2005 Nonlinearity 18 2111
W Tuckwell and E Bezak 2007 Phys. Med. Biol. 52 2483
J M Buick 2007 Eur. J. Phys. 28 1073
J M Hartmann et al 2000 Semicond. Sci. Technol. 15 370
J. A. Aguilar–Saavedra JHEP11(2009)030
Christina Skourou et al 2007 Phys. Med. Biol. 52 347
J Osvald and E Dobrocka 1996 Semicond. Sci. Technol. 11 1198
Graeme W Milton 2007 New J. Phys. 9 359
S Sindhu and C S Menon 2001 J. Phys. D: Appl. Phys. 34 1436
2008 Phys. Educ. 43 135