54 citations · 160 across the 9 of their papers we have counts for
5 papers · 1 filter
Dynamics of Triangulations
Pierre Collet, Jean-Pierre Eckmann
We study a few problems related to Markov processes of flipping triangulations of the sphere. We show that these processes are ergodic and mixing, but find a natural example which…
The topological relationship between the large-scale attributes and local interaction patterns of complex networks
A. Vazquez, R. Dobrin, D. Sergi +3
Recent evidence indicates that the abundance of recurring elementary interaction patterns in complex networks, often called subgraphs or motifs, carry significant information about…
Lyapunov Modes in Hard-Disk Systems
Jean-Pierre Eckmann, Christina Forster, Harald A. Posch +1
We consider simulations of a 2-dimensional gas of hard disks in a rectangular container and study the Lyapunov spectrum near the vanishing Lyapunov exponents. To this spectrum are…
Using Curvature and Markov Clustering in Graphs for Lexical Acquisition and Word Sense Discrimination
Beate Dorow, Dominic Widdows, Katarina Ling +3
We introduce two different approaches for clustering semantically similar words. We accommodate ambiguity by allowing a word to belong to several clusters. Both methods use a graph…
Temperature Profiles in Hamiltonian Heat Conduction
Jean-Pierre Eckmann, Lai-Sang Young
We study heat transport in the context of Hamiltonian and related stochastic models with nearest-neighbor coupling, and derive a universal law for the temperature profiles of a lar…