Heat equation and ergodic theorems for Riemann surface laminations

Details Heat equation and ergodic theorems for Riemann surface laminations Heat equation and ergodic theorems for Riemann surface laminations

2010-04-22

arxiv.org/abs/1004.3931v1

Mathematics

Dynamical Systems

44 pages

Scientific paper

We introduce the heat equation relative to a positive dd-bar-closed current and apply it to the invariant currents associated with Riemann surface laminations possibly with singularities. The main examples are holomorphic foliations by Riemann surfaces in projective spaces. We prove two kinds of ergodic theorems for such currents: one associated to the heat diffusion and one close to Birkhoff's averaging on orbits of a dynamical system. The heat diffusion theorem with respect to a harmonic measure is also developed for real laminations.

Affiliated with

Also associated with

No associations

Rating

Heat equation and ergodic theorems for Riemann surface laminations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Heat equation and ergodic theorems for Riemann surface laminations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heat equation and ergodic theorems for Riemann surface laminations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459586