Add to ORKGThe asymptotic behavior of the eigenvalue counting function of Laplacians on Hanoi attractors is determined. To this end, Dirichlet and resistance forms are constructed. Due to the non self-similarity of these sets, the classical construction of the Laplacian for p.c.f. self-similar fractals has to be modified by combining discrete and quantu
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
The study of self-adjoint operators on fractal spaces has been well developed on specific classes of...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...
We study the eigenvalues and eigenfunctions of the Laplacians on [0, 1] which are defined by bounded...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
AbstractGiven a self-similar Dirichlet form on a self-similar set, we first give an estimate on the ...
In the present paper we consider the number $\cN_\Om(\la)$ of eigenvalues not exceeding $\la$ of the...
Abstract. We prove that the zeta-function ζ ∆ of the Laplacian ∆ on a self-similar fractals with spe...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
A generalization of a classic result of H. Weyl concerning the asymptotics of the spectrum of the La...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Abstract. In this paper we consider post-critically finite self-similar fractals with regular harmon...
We report some results concerning spectral asymptotics of fractal Laplacians defined one-dimensional...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
The study of self-adjoint operators on fractal spaces has been well developed on specific classes of...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...
We study the eigenvalues and eigenfunctions of the Laplacians on [0, 1] which are defined by bounded...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
AbstractGiven a self-similar Dirichlet form on a self-similar set, we first give an estimate on the ...
In the present paper we consider the number $\cN_\Om(\la)$ of eigenvalues not exceeding $\la$ of the...
Abstract. We prove that the zeta-function ζ ∆ of the Laplacian ∆ on a self-similar fractals with spe...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
A generalization of a classic result of H. Weyl concerning the asymptotics of the spectrum of the La...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Abstract. In this paper we consider post-critically finite self-similar fractals with regular harmon...
We report some results concerning spectral asymptotics of fractal Laplacians defined one-dimensional...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
The study of self-adjoint operators on fractal spaces has been well developed on specific classes of...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...