We introduce multifractal zetafunctions providing precise information of a very general class of multifractal spectra, including, for example, the multifractal spectra of self-conformal measures and the multifractal spectra of ergodic Birkhoff averages of continuous functions. More precisely, we prove that these and more general multifractal spectra equal the abscissae of convergence of the associated zeta-functions
Fractal zeta functions associated to bounded subsets of Euclidean spaces relate the geometry of a se...
Abstract. In this paper we construct measures supported in [0, 1] with prescribed mul-tifractal spec...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
We introduce multifractal pressure and dynamical multifractal zeta-functions, providing precise info...
We introduce multifractal pressure and dynamical multifractal zeta-functions providing precise infor...
We introduce multifractal zetafunctions providing precise information of a very general class of mul...
Starting with the work of Lapidus and van Frankenhuysen a number of papers have introduced zeta func...
International audienceIn this paper, we generalize the zeta function for a fractal string (as in [18...
International audienceIn this paper, we generalize the zeta function for a fractal string (as in [18...
Abstract. For a Borel measure on the unit interval and a se-quence of scales that tend to zero, we d...
Multifractals have during the past 20 − 25 years been the focus of enormous attention in the mathema...
The famous Birkhoff ergodic theorem shows that given an ergodic measure the averages of an integrabl...
During the past 10 years multifractal analysis has received an enormous interest. For a sequence of ...
AbstractDuring the past 10 years multifractal analysis has received an enormous interest. For a sequ...
For a Borel measure on the unit interval and a sequence of scales that tend to zero, we define a one...
Fractal zeta functions associated to bounded subsets of Euclidean spaces relate the geometry of a se...
Abstract. In this paper we construct measures supported in [0, 1] with prescribed mul-tifractal spec...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
We introduce multifractal pressure and dynamical multifractal zeta-functions, providing precise info...
We introduce multifractal pressure and dynamical multifractal zeta-functions providing precise infor...
We introduce multifractal zetafunctions providing precise information of a very general class of mul...
Starting with the work of Lapidus and van Frankenhuysen a number of papers have introduced zeta func...
International audienceIn this paper, we generalize the zeta function for a fractal string (as in [18...
International audienceIn this paper, we generalize the zeta function for a fractal string (as in [18...
Abstract. For a Borel measure on the unit interval and a se-quence of scales that tend to zero, we d...
Multifractals have during the past 20 − 25 years been the focus of enormous attention in the mathema...
The famous Birkhoff ergodic theorem shows that given an ergodic measure the averages of an integrabl...
During the past 10 years multifractal analysis has received an enormous interest. For a sequence of ...
AbstractDuring the past 10 years multifractal analysis has received an enormous interest. For a sequ...
For a Borel measure on the unit interval and a sequence of scales that tend to zero, we define a one...
Fractal zeta functions associated to bounded subsets of Euclidean spaces relate the geometry of a se...
Abstract. In this paper we construct measures supported in [0, 1] with prescribed mul-tifractal spec...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
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