Another point of view on Kusuoka's measure

نویسندگان

چکیده

Kusuoka's measure on fractals is a Gibbs of very special kind, since its potential discontinuous while the standard theory measures requires continuous (in simplest version, Holder) potentials. In this paper we shall see that for many it possible to build class matrix-valued completely within scope theory; there are naturally some minor modifications, but they only due fact dealing with functions and measures. We use these self-similar bilinear forms fractals. Moreover, form can be recovered in simple way from measure.

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems

سال: 2021

ISSN: ['1553-5231', '1078-0947']

DOI: https://doi.org/10.3934/dcds.2020404