36 citations · 73 across the 6 of their papers we have counts for
7 papers
Schramm-Loewner evolution and perimeter of percolation clusters of correlated random landscapes
Caio P. de Castro, Mirko Lukovic, Giacomo Pompanin +2
Motivated by the fact that many physical landscapes are characterized by long-range height-height correlations that are quantified by the Hurst exponent H, we investigate the stati…
Exact evaluation of the causal spectrum and localization properties of electronic states on a scale-free network
Pinchen Xie, Bingjia Yang, Zhongzhi Zhang +1
A nearest-neighbor tight-binding model on a tree structure is investigated. The full energy spectrum of the normalized Hamiltonian can be expressed in terms of successively increas…
How the site degree influences quantum probability on inhomogeneous substrates
A. M. C. Souza, R. F. S. Andrade, N. A. M. Araújo +1
We investigate the effect of the node degree and energy on the electronic wave function for regular and irregular structures, namely, regular lattices, disordered percolation c…
A percolation model with continuously varying exponents
Roberto F. S. Andrade, Hans J. Herrmann
This work analyzes a percolation model on the diamond hierarchical lattice (DHL), where the percolation transition is retarded by the inclusion of a probability of erasing specific…
Mandala Networks: ultra-robust, ultra-small-world and highly sparse graphs
C. I. N. Sampaio Filho, A. A. Moreira, R. F. S. Andrade +2
The increasing demands in security and reliability of infrastructures call for the optimal design of their embedded complex networks topologies. The following question then arises:…
Exact evaluation of the cutting path length in a percolation model on a hierarchical network
R. F. S. Andrade, H. J. Herrmann
This work presents an approach to evaluate the exact value of the fractal dimension of the cutting path on hierarchical structures with finite order of ramification. Thi…