@article{oai:niigata-u.repo.nii.ac.jp:00002266,
 author = {Lin, Zhifang and Goda, Masaki},
 issue = {14},
 journal = {Physical Review B, Physical Review B},
 month = {Oct},
 note = {The nature of transverse vibrational eigenmodes of a regular Vicsek fractal with hierarchical nearest-neighbor interactions has been analyzed using a real-space renormalization-group approach. Different types of spatial scaling behavior for the nondegenerate transverse vibrational modes are obtained depending on a positive hierarchical parameter R: for R>Rc, the nondegenerate modes are all extended in nature, while for R<Rc, they exhibit a type of power-law behavior, with the exponent of power depending explicitly on R.},
 pages = {10315--10318},
 title = {Power-law eigenstates of a regular Vicsek fractal with hierarchical interactions},
 volume = {50},
 year = {1994}
}