Vibration Spectra of the $m$-Tree Fractal

Details Vibration Spectra of the $m$-Tree Fractal Vibration Spectra of the $m$-Tree Fractal

2008-12-15

arxiv.org/abs/0812.2867v1

Fractals, Volume: 18, Issue: 2(2010) pp. 157-169

Mathematics

Classical Analysis and ODEs

21 pages, 4 figures

Scientific paper

10.1142/S0218348X1000483X

We introduce a family of post-critically finite fractal trees indexed by the
number of branches they possess. Then we produce a Laplacian operator on graph
approximations to these fractals and use spectral decimation to describe the
spectrum of the Laplacian on these trees. Lastly we consider the behavior of
the spectrum as the number of branches increases.

Affiliated with

Also associated with

No associations

Rating

Vibration Spectra of the $m$-Tree Fractal 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 Vibration Spectra of the $m$-Tree Fractal, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vibration Spectra of the $m$-Tree Fractal will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349725