326 citations
- Max Planck Institute for MathematicsDE63 papers
- Capital Normal UniversityCN20 papers
- Max Planck SocietyDE14 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- University of BonnDE5 papers
- Leipzig UniversityDE4 papers
- Central China Normal UniversityCN3 papers
- Fudan UniversityCN3 papers
- Santa Fe InstituteUS3 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT3 papers
- Technische Universität BerlinDE3 papers
- University Hospital MagdeburgDE3 papers
11 papers · 1 filter
Bounds on the Speed and on Regeneration Times for Certain Processes on Regular Trees
Andrea Collevecchio, Tom Schmitz
We develop a technique that provides a lower bound on the speed of transient random walk in a random environment on regular trees. A refinement of this technique yields upper bound…
Binomial edge ideals and conditional independence statements
Juergen Herzog, Takayuki Hibi, Freyja Hreinsdottir +2
We introduce binomial edge ideals attached to a simple graph and study their algebraic properties. We characterize those graphs for which the quadratic generators form a Gröbne…
Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order
Jürgen Jost, Xianqing Li-Jost, Qiaoling Wang +1
We investigate the eigenvalues of the buckling problem of arbitrary order on compact domains in Euclidean spaces and spheres. We obtain universal bounds for the th eigenvalue in…
Synchronization in discrete-time networks with general pairwise coupling
Frank Bauer, Fatihcan M. Atay, Juergen Jost
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 carr…
Morphogenesis by coupled regulatory networks: Reliable control of positional information and proportion regulation
Thimo Rohlf, Stefan Bornholdt
Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to ge…
Noether's forms for the study of non-composite rational functions and their spectrum
Laurent Busé, Guillaume Chèze, Salah Najib
In this paper, the spectrum and the decomposability of a multivariate rational function are studied by means of the effective Noether's irreducibility theorem given by Ruppert. Wit…