We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on phenomena related to unboundedness of the Laplacians. This includes (failure of) essential selfadjointness, absence of essential spectrum and stochastic incompleteness
We consider weighted graphs with an infinite set of vertices. We show that boundedness of all functi...
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the a...
International audienceWe consider a non self-adjoint Laplacian on a directed graph with non symmetri...
Abstract. We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on phe...
International audienceWe consider a non self-adjoint Laplacian on a directed graph with non symmetri...
The goal of this Diploma thesis is to study global properties of Dirichlet forms associated with inf...
AbstractWe survey properties of spectra of signless Laplacians of graphs and discuss possibilities f...
In this paper, we investigate spectral properties of discrete Laplacians. Our study is based on the ...
Abstract. A spectral graph theory is a theory in which graphs are studied by means of eigenvalues of...
In this thesis, we analyze the stochastic completeness of a heat kernel on graphs which is a functio...
Anybody who has ever read a mathematical text of the author would agree that his way of presenting c...
We introduce a non-backtracking Laplace operator for graphs and we investigate its spectral properti...
AbstractWe study the physical Laplacian and the corresponding heat flow on an infinite, locally fini...
Spectral graph theory widely increases the interests in not only discovering new properties of well ...
We derive bounds for eigenvalues of the Laplacian of graphs using the discrete versions of the Sobol...
We consider weighted graphs with an infinite set of vertices. We show that boundedness of all functi...
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the a...
International audienceWe consider a non self-adjoint Laplacian on a directed graph with non symmetri...
Abstract. We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on phe...
International audienceWe consider a non self-adjoint Laplacian on a directed graph with non symmetri...
The goal of this Diploma thesis is to study global properties of Dirichlet forms associated with inf...
AbstractWe survey properties of spectra of signless Laplacians of graphs and discuss possibilities f...
In this paper, we investigate spectral properties of discrete Laplacians. Our study is based on the ...
Abstract. A spectral graph theory is a theory in which graphs are studied by means of eigenvalues of...
In this thesis, we analyze the stochastic completeness of a heat kernel on graphs which is a functio...
Anybody who has ever read a mathematical text of the author would agree that his way of presenting c...
We introduce a non-backtracking Laplace operator for graphs and we investigate its spectral properti...
AbstractWe study the physical Laplacian and the corresponding heat flow on an infinite, locally fini...
Spectral graph theory widely increases the interests in not only discovering new properties of well ...
We derive bounds for eigenvalues of the Laplacian of graphs using the discrete versions of the Sobol...
We consider weighted graphs with an infinite set of vertices. We show that boundedness of all functi...
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the a...
International audienceWe consider a non self-adjoint Laplacian on a directed graph with non symmetri...
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