From configurations to branched configurations and beyond

Abstract

We propose here a geometric and topological setting for the study of branching effects arising in various fields of research, e.g. in statistical mechanics and turbulence theory. We describe various aspects that appear key points to us, and finish with a limit of such a construction which stand in the dynamics on probability spaces where it seems that branching effects can be fully studied without any adaptation of the framework.

Topological results deleted for improvement; definitions and settings enlarged, references added. arXiv admin note: text overlap with arXiv:1007.3543