AbstractUsing the spectral theory of weakly convergent sequences of finite graphs, we prove the uniform existence of the integrated density of states for a large class of infinite graphs
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the a...
We define the independence ratio and the chromatic number for bounded, self-adjoint operators on an ...
L. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while pr...
AbstractUsing the spectral theory of weakly convergent sequences of finite graphs, we prove the unif...
AbstractIn [G. Elek, On limits of finite graphs, Combinatorica, in press, URL: http://www.arxiv.org/...
AbstractLet G be a locally finite graph with bounded vertex degrees. Its adjacency matrix A gives ri...
AbstractAn index theory for uniformly locally finite (ULF) graphs is developed based on the adjacenc...
We investigate the bottom of the spectra of infinite quantum graphs, i.e., Laplace operators on metr...
In the so-called sparse regime where the numbers of edges and vertices tend to infinity in a compara...
We are mainly concerned with sequences of graphs having a grid geometry, with a uniform local struct...
We consider sequences of graphs (Gn) and define various notions of convergence related to these sequ...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We are mainly concerned with sequences of graphs having a grid geometry,with a uniform local structu...
Anybody who has ever read a mathematical text of the author would agree that his way of presenting c...
In the current work we are concerned with sequences of graphs having a grid geometry, with a uniform...
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the a...
We define the independence ratio and the chromatic number for bounded, self-adjoint operators on an ...
L. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while pr...
AbstractUsing the spectral theory of weakly convergent sequences of finite graphs, we prove the unif...
AbstractIn [G. Elek, On limits of finite graphs, Combinatorica, in press, URL: http://www.arxiv.org/...
AbstractLet G be a locally finite graph with bounded vertex degrees. Its adjacency matrix A gives ri...
AbstractAn index theory for uniformly locally finite (ULF) graphs is developed based on the adjacenc...
We investigate the bottom of the spectra of infinite quantum graphs, i.e., Laplace operators on metr...
In the so-called sparse regime where the numbers of edges and vertices tend to infinity in a compara...
We are mainly concerned with sequences of graphs having a grid geometry, with a uniform local struct...
We consider sequences of graphs (Gn) and define various notions of convergence related to these sequ...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We are mainly concerned with sequences of graphs having a grid geometry,with a uniform local structu...
Anybody who has ever read a mathematical text of the author would agree that his way of presenting c...
In the current work we are concerned with sequences of graphs having a grid geometry, with a uniform...
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the a...
We define the independence ratio and the chromatic number for bounded, self-adjoint operators on an ...
L. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while pr...