Search results for "Transitivité"
showing 2 items of 2 documents
Relation entre transitivité et structure de communauté dans les réseaux complexes
2011
The relation between community structure and other topological properties in complex networks, has not been analyzed clearly. In this preliminary study, we explore experimentally the potential link between transitivity and community structure. We study the evolution of transitivity based on the quality of the community structure on artificially generated networks. Then we observe the evolution of community structure according to transitivity value. The results show a relationship between high transitivity and community structure. Additional analytical work is needed to identify the exact nature of this relationship.
Chaotic dynamics and partial hyperbolicity
2017
The dynamics of hyperbolic systems is considered well understood from topological point of view as well as from stochastic point of view. S. Smale and R. Abraham gave an example showing that, in general, the hyperbolic systems are not dense among all differentiable systems. In 1970s, M. Brin and Y. Pesin proposed a new notion: partial hyperbolicity to release the notion of hyperbolicity. One aim of this thesis is to understand the dynamics of certain partially hyperbolic systems from stochastic point of view as well as from topological point of view. From stochastic point of view, we prove the following results: — There exists an open and dense subset U of robustly transitive nonhyperbolic …