Multifractal decompositions of Moran fractals

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multifractal Decompositions of Moran Fractals

We present a rigorous construction and generalization of the multifractal decomposition for Moran fractals with intinite product measure. The generalization is specilied by a system of nonnegative weights in the partition sum. All the usual (smooth) properties of thef(a) theory are recovered for the case that the weights are equal to unity. The generalized spectrum, !(a, r~), is invariant to a ...

متن کامل

Multifractal Decompositions of Digraph Recursive Fractals

We prove that the multifractal decomposition behaves as expected for a family of sets K known as digraph recursive fractals, using measures ^ of Markov type. For each value of a parameter a between a minimum amin and maximum amax, we define 'multifractal components' K^ a) of K, and show that they are fractals in the sense of Taylor. The dimension /(or) of K^ is computed from the data of the pro...

متن کامل

A Multifractal Analysis of Gibbs Measures for Conformal Expanding Maps and Markov Moran Geometric Constructions

We establish the complete multifractal formalism for Gibbs measures for confor-mal expanding maps and Markov Moran geometric constructions. Examples include Markov maps of an interval, hyperbolic Julia sets, and conformal toral endomorphisms. This paper describes the multifractal analysis of measures invariant under dynamical systems. The concept of a multifractal analysis was suggested by seve...

متن کامل

Numerical investigations of discrete scale invariance in fractals and multifractal measures

Fractals and multifractals and their associated scaling laws provide a quantification of the complexity of a variety of scale invariant complex systems. Here, we focus on lattice multifractals which exhibit complex exponents associated with observable log-periodicity. We perform detailed numerical analyses of lattice multifractals and explain the origin of three different scaling regions found ...

متن کامل

The historical Moran model

We consider a multi-type Moran model (in continuous time) with selection and typedependent mutation. This paper is concerned with the evolution of genealogical information forward in time. For this purpose we define and analytically characterize a pathvalued Markov process that contains in its state at time t the extended ancestral lines (adding genealogical distances) of the population alive a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 1992

ISSN: 0001-8708

DOI: 10.1016/0001-8708(92)90064-r