Anomalous roughness, localization, and globally constrained random walks

J. Dong Noh, H. Park, J. Dong Noh, D. Kim, M. Den Nijs

Research output: Contribution to journalArticlepeer-review


The scaling properties of even-visiting random walks (EVRW) on a d-dimensional hypercubic lattice was investigated. In the fermion interpretation, asymptotic anomalous diffusive properties of the EVRW determined the spectral properties of the non-Hermitian Hamiltonian near the band edge. Exact enumeration and Monte Carlo simulations showed that the dynamic exponent in one dimensional interfaces was equal to 3.

Original languageEnglish
Article number046131
Pages (from-to)461311-461324
Number of pages14
JournalPhysical Review E
Issue number4
StatePublished - Oct 2001


Dive into the research topics of 'Anomalous roughness, localization, and globally constrained random walks'. Together they form a unique fingerprint.

Cite this