AbstractIn this paper, we study the quantization dimension of a random self-similar measure μ supported on the random self-similar set K(ω). We establish a relationship between the quantization dimension of μ and its distribution. At last we give a simple example to show that how to use the formula of the quantization dimension
AbstractFor a probability measure P on Rd and n∈N consider en=inf∫mina∈αV(‖x−a‖)dP(x) where the infi...
We survey some recent results on the dimension of orthogonal projections of self-similar sets and of...
AbstractIn this paper we consider the Gibbs measure on the one-sided shift dynamical system and dete...
AbstractThe quantization dimension function for a probability measure induced by a set of infinite c...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
In this paper, the problem of optimal quantization is solved for uniform distributions on some highe...
AbstractLet {fi}1N be a family of similitudes on R1 satisfying the strong separation condition and ν...
AbstractWe introduce a notion of monotonicity of dimensions of measures. We show that the upper and ...
We consider probability distributions which are uniformly distributed on a disjoint union of balls w...
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power deca...
Abstract: Let µ be a random self-conformal measure on R d associated with a family of contractive co...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
AbstractLet μ be a Borel probability measure on Rd with compact support and D¯r(μ) the upper quantiz...
We provide a full picture of the upper quantization dimension in term of the R\'enyi dimension, in t...
AbstractFor a probability measure P on Rd and n∈N consider en=inf∫mina∈αV(‖x−a‖)dP(x) where the infi...
We survey some recent results on the dimension of orthogonal projections of self-similar sets and of...
AbstractIn this paper we consider the Gibbs measure on the one-sided shift dynamical system and dete...
AbstractThe quantization dimension function for a probability measure induced by a set of infinite c...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
In this paper, the problem of optimal quantization is solved for uniform distributions on some highe...
AbstractLet {fi}1N be a family of similitudes on R1 satisfying the strong separation condition and ν...
AbstractWe introduce a notion of monotonicity of dimensions of measures. We show that the upper and ...
We consider probability distributions which are uniformly distributed on a disjoint union of balls w...
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power deca...
Abstract: Let µ be a random self-conformal measure on R d associated with a family of contractive co...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
AbstractLet μ be a Borel probability measure on Rd with compact support and D¯r(μ) the upper quantiz...
We provide a full picture of the upper quantization dimension in term of the R\'enyi dimension, in t...
AbstractFor a probability measure P on Rd and n∈N consider en=inf∫mina∈αV(‖x−a‖)dP(x) where the infi...
We survey some recent results on the dimension of orthogonal projections of self-similar sets and of...
AbstractIn this paper we consider the Gibbs measure on the one-sided shift dynamical system and dete...
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