Add to ORKGIn this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and one-dimensional singular spectral measures
Many important definitions in the theory of multifractal measures on ℝd, such as the Lq-spectrum, L∞...
In this paper, the author further reveals some intrinsic properties of the Cantor set. By the proper...
In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a mark...
We provide an estimate from below for the lower Hausdorff dimension of measures on the unit circle b...
AbstractA probability measure in Rd is called a spectral measure if it has an orthonormal basis cons...
A probability measure in ℝd is called a spectral measure if it has an orthonormal basis consisting o...
We study spectral measures generated by infinite convolution products of discrete measures generated...
We investigate tiling properties of spectra of measures, i.e., sets (Formula presented.) forms an or...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Cantor sets in R are common examples of sets for which Hausdorff measures can be positive and fnite....
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Cantor sets in R are common examples of sets on which Hausdorff measures can be positive and finite....
Given a Radón measure on each of two locally compact Hausdorff spaces we consider three product meas...
Generalized second order differential operators of the form ddµ d dν are considered, where µ and ν a...
In 1986, J. Bourgain showed that, for a given dimension d $ ge$ 2, there exists $ rho sb{d}$ $<$ d s...
Many important definitions in the theory of multifractal measures on ℝd, such as the Lq-spectrum, L∞...
In this paper, the author further reveals some intrinsic properties of the Cantor set. By the proper...
In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a mark...
We provide an estimate from below for the lower Hausdorff dimension of measures on the unit circle b...
AbstractA probability measure in Rd is called a spectral measure if it has an orthonormal basis cons...
A probability measure in ℝd is called a spectral measure if it has an orthonormal basis consisting o...
We study spectral measures generated by infinite convolution products of discrete measures generated...
We investigate tiling properties of spectra of measures, i.e., sets (Formula presented.) forms an or...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Cantor sets in R are common examples of sets for which Hausdorff measures can be positive and fnite....
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Cantor sets in R are common examples of sets on which Hausdorff measures can be positive and finite....
Given a Radón measure on each of two locally compact Hausdorff spaces we consider three product meas...
Generalized second order differential operators of the form ddµ d dν are considered, where µ and ν a...
In 1986, J. Bourgain showed that, for a given dimension d $ ge$ 2, there exists $ rho sb{d}$ $<$ d s...
Many important definitions in the theory of multifractal measures on ℝd, such as the Lq-spectrum, L∞...
In this paper, the author further reveals some intrinsic properties of the Cantor set. By the proper...
In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a mark...