- Publications
- Influence

Claim Your Author Page

Ensure your research is discoverable on Semantic Scholar. Claiming your author page allows you to personalize the information displayed and manage publications.

- Frank Bauer, Jürgen Jost
- 2009

We study the spectrum of the normalized Laplace operator of a connected graph $\Gamma$. As is well known, the smallest nontrivial eigenvalue measures how difficult it is to decompose $\Gamma$ into… (More)

AbstractWe prove the Li-Yau gradient estimate for the heat kernel on graphs. The onlyassumption is a variant of the curvature-dimension inequality, which is purely local,and can be considered as a… (More)

We prove the following estimate for the spectrum of the normalized Laplace operator ∆ on a finite graph G, 1− (1− k[t]) 1t ≤ λ1 ≤ · · · ≤ λN−1 ≤ 1 + (1− k[t]) 1 t , ∀ integers t ≥ 1. Here k[t] is a… (More)

- Frank Bauer
- 2011

Abstract We consider the normalized Laplace operator for directed graphs with positive and negative edge weights. This generalization of the normalized Laplace operator for undirected graphs is used… (More)

In many geoscientific applications, one needs to recover the quantities of interest from indirect observations blurred by colored noise. Such quantities often correspond to the values of bounded… (More)

- Frank Bauer
- 2008

Im Rahmen dieser Arbeit erfolgte die Analyse der Geometrie und der Funktionsweise unterschiedlicher PTFE-Manschettendichtringe. Hierzu wurden Radialkrafte, Reibmomente, Forderwerte von Ol und Luft… (More)

We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and… (More)

We use the concept of intrinsic metrics to give a new denition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of… (More)

The hydroisomerization of long-chain n-paraffins was studied in the temperature range of 205–230 °C at pH2 = 50 bar using a pilot-scale trickle-bed continuous-flow reactor over bimetallic catalysts… (More)

We study synchronization of non-diffusively coupled map networks with arbitrary network topologies, where the connections between different units are, in general, not symmetric and can carry both… (More)