30 citations · 126 across the 11 of their papers we have counts for
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cond-mat.stat-mech2018★ 30 cited
Explicit construction of the eigenvectors and eigenvalues of the graph Laplacian on the Cayley tree
Ayşe Erzan, Aslı Tuncer
A generalized Fourier analysis on arbitrary graphs calls for a detailed knowledge of the eigenvectors of the graph Laplacian. Using the symmetries of the Cayley tree, we recursivel…
cond-mat.stat-mech2013★ 5 cited
Spectral Renormalization Group for the Gaussian model and theory on non-spatial networks
Aslı Tuncer, Ayşe Erzan
We implement the spectral renormalization group on different deterministic non-spatial networks without translational invariance. We calculate the thermodynamic critical exponents…
cond-mat.stat-mech2005★ 20 cited
Phase Diagrams and Crossover in Spatially Anisotropic d=3 Ising, XY Magnetic and Percolation Systems: Exact Renormalization-Group Solutions of Hierarchical Models
A. Erbas, A. Tuncer, B. Yucesoy +1
Hierarchical lattices that constitute spatially anisotropic systems are introduced. These lattices provide exact solutions for hierarchical models and, simultaneously, approximate…