Ask a Question

Prefer a chat interface with context about you and your work?

Physical measures for infinitely renormalizable Lorenz maps

Physical measures for infinitely renormalizable Lorenz maps

A physical measure on the attractor of a system describes the statistical behavior of typical orbits. An example occurs in unimodal dynamics. Namely, all infinitely renormalizable unimodal maps have a physical measure. For Lorenz dynamics, even in the simple case of infinitely renormalizable systems, the existence of physical measures is …