Norm convergence of nilpotent ergodic averages along Følner nets

Details Norm convergence of nilpotent ergodic averages along Følner nets Norm convergence of nilpotent ergodic averages along Følner nets

2011-11-30

arxiv.org/abs/1111.7292v6

Mathematics

Dynamical Systems

v6: 26 p., including a generalizion of the "Roth theorem for amenable groups" due to Bergelson, McCutcheon and Zhang to averag

Scientific paper

Multiple ergodic averages corresponding to polynomial sequences in nilpotent
groups of measure preserving transformations converge in L^2, as was proved
recently by Walsh. We extend this result to averages along F{\o}lner nets in
amenable groups. We also generalize the "Roth theorem for amenable groups" due
to Bergelson, McCutcheon and Zhang to averages with arbitrarily many terms.

Affiliated with

Also associated with

No associations

Rating

Norm convergence of nilpotent ergodic averages along Følner nets 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 Norm convergence of nilpotent ergodic averages along Følner nets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Norm convergence of nilpotent ergodic averages along Følner nets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-410741