Add to ORKGWe report some results concerning spectral asymptotics of fractal Laplacians defined one-dimensional self-similar measures with overlaps. We also discuss some applications of the theory, including heat kernel estimates and wave propagation speed. Part of this work is joint with Qingsong Gu, Jiaxin Hu, Wei Tang and Yuanyuan Xie
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...
We use the random self-similarity of the continuum random tree to show that it is homeomorphic to a ...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to ...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
We study the distribution of eigenvalues of some Laplacians defined by fractal measures. We focus on...
AbstractGiven a self-similar Dirichlet form on a self-similar set, we first give an estimate on the ...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
A generalization of a classic result of H. Weyl concerning the asymptotics of the spectrum of the La...
In this work we present Lyapunov type inequalities for generalized one dimensional Laplacian operato...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
We study spectral asymptotics of Laplacians defined by iterated function systems with overlaps in hi...
We study the wave propagation speed problem on fractals that are not post-critically finite. We exten...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...
We use the random self-similarity of the continuum random tree to show that it is homeomorphic to a ...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to ...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
We study the distribution of eigenvalues of some Laplacians defined by fractal measures. We focus on...
AbstractGiven a self-similar Dirichlet form on a self-similar set, we first give an estimate on the ...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
A generalization of a classic result of H. Weyl concerning the asymptotics of the spectrum of the La...
In this work we present Lyapunov type inequalities for generalized one dimensional Laplacian operato...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
We study spectral asymptotics of Laplacians defined by iterated function systems with overlaps in hi...
We study the wave propagation speed problem on fractals that are not post-critically finite. We exten...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...
We use the random self-similarity of the continuum random tree to show that it is homeomorphic to a ...