240 citations · 2.1k across the 73 of their papers we have counts for
7 papers · 1 filter
True and quasi long-range order in the generalized -state clock model
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
From consideration of the order-parameter distribution, we propose an observable which makes a clear distinction between true and quasi long-range orders in the two-dimensional gen…
The meta book and size-dependent properties of written language
Sebastian Bernhardsson, Luis Enrique Correa da Rocha, Petter Minnhagen
Evidence is given for a systematic text-length dependence of the power-law index gamma of a single book. The estimated gamma values are consistent with a monotonic decrease from 2…
Size dependent word frequencies and translational invariance of books
Sebastian Bernhardsson, Luis Enrique Correa da Rocha, Petter Minnhagen
It is shown that a real novel shares many characteristic features with a null model in which the words are randomly distributed throughout the text. Such a common feature is a cert…
Multiscaling in the YX model of networks
Petter Holme, Zhi-Xi Wu, Petter Minnhagen
We investigate a Hamiltonian model of networks. The model is a mirror formulation of the XY model (hence the name) -- instead letting the XY spins vary, keeping the coupling topolo…
Phase transition of -state clock models on heptagonal lattices
Seung Ki Baek, Petter Minnhagen, Hiroyuki Shima +1
We study the -state clock models on heptagonal lattices assigned on a negatively curved surface. We show that the system exhibits three classes of equilibrium phases; in between…
Percolation on hyperbolic lattices
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
The percolation transitions on hyperbolic lattices are investigated numerically using finite-size scaling methods. The existence of two distinct percolation thresholds is verified.…