$L^p$ spectrum and heat dynamics of locally symmetric spaces of higher rank

Details $L^p$ spectrum and heat dynamics of locally symmetric spaces of higher rank $L^p$ spectrum and heat dynamics of locally symmetric spaces of higher rank

2010-05-17

arxiv.org/abs/1005.2988v1

Mathematics

Differential Geometry

23 pp

Scientific paper

The aim of this paper is to study the spectrum of the $L^p$ Laplacian and the dynamics of the $L^p$ heat semigroup on non-compact locally symmetric spaces of higher rank. Our work here generalizes previously obtained results in the setting of locally symmetric spaces of rank one to higher rank spaces. Similarly as in the rank one case, it turns out that the $L^p$ heat semigroup on $M$ has a certain chaotic behavior if $p\in(1,2)$ whereas for $p\geq 2$ such a chaotic behavior never occurs.

Affiliated with

Also associated with

No associations

Rating

$L^p$ spectrum and heat dynamics of locally symmetric spaces of higher rank 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 $L^p$ spectrum and heat dynamics of locally symmetric spaces of higher rank, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $L^p$ spectrum and heat dynamics of locally symmetric spaces of higher rank will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-299604