Add to ORKGWe consider discrete laplacians for iterated maps on the interval and examine their eigenvalues. We have introduced a notion of conductance (Cheeger constant) for a discrete dynamical system, now we study their relations with the spectrum. We compute the systoles and the first eigenvalue of some families of discrete dynamical systems
We study the behavior of the Cheeger isoperimetric constant on infinite families of graphs and Riema...
28 pages, 6 figures.-- MSC2000 codes: 05C50, 05C70, 47A10.-- ArXiv pre-print available at: http://ar...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...
We consider discrete laplacians for iterated maps on the interval and examine their eigenvalues. We ...
AbstractThe relationship between the isoperimetric constants of a connected finite graph and the fir...
For graphs there exists a strong connection between spectral and combinatorial expansion properties....
For graphs there exists a strong connection between spectral and combinatorial expansion properties....
We introduce the notion of conductance in discrete dynamical systems defined by iterated maps of the...
AbstractWe study the relationship between the first eigenvalue of the Laplacian and Cheeger constant...
The fruitful relationship between Geometry and Graph Theory has been explored by several authors ben...
We develop a nonlinear spectral graph theory, in which the Laplace operator is replaced by the 1 - L...
In this study we introduce a concept of discrete Laplacian on the plane lattice and consider its ite...
These notes are not necessarily an accurate representation of what happened in class. The notes writ...
We present a study about the invariants which can distinguish topologically different dynamics conce...
International audienceLet M be a bounded domain of a Euclidian space with smooth boundary. We relate...
We study the behavior of the Cheeger isoperimetric constant on infinite families of graphs and Riema...
28 pages, 6 figures.-- MSC2000 codes: 05C50, 05C70, 47A10.-- ArXiv pre-print available at: http://ar...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...
We consider discrete laplacians for iterated maps on the interval and examine their eigenvalues. We ...
AbstractThe relationship between the isoperimetric constants of a connected finite graph and the fir...
For graphs there exists a strong connection between spectral and combinatorial expansion properties....
For graphs there exists a strong connection between spectral and combinatorial expansion properties....
We introduce the notion of conductance in discrete dynamical systems defined by iterated maps of the...
AbstractWe study the relationship between the first eigenvalue of the Laplacian and Cheeger constant...
The fruitful relationship between Geometry and Graph Theory has been explored by several authors ben...
We develop a nonlinear spectral graph theory, in which the Laplace operator is replaced by the 1 - L...
In this study we introduce a concept of discrete Laplacian on the plane lattice and consider its ite...
These notes are not necessarily an accurate representation of what happened in class. The notes writ...
We present a study about the invariants which can distinguish topologically different dynamics conce...
International audienceLet M be a bounded domain of a Euclidian space with smooth boundary. We relate...
We study the behavior of the Cheeger isoperimetric constant on infinite families of graphs and Riema...
28 pages, 6 figures.-- MSC2000 codes: 05C50, 05C70, 47A10.-- ArXiv pre-print available at: http://ar...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...