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20052023
most citedThe scaling laws of human travel

2.3k citations

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6 papers · 1 filter

cond-mat.stat-mech2018★ 1 cited

From particle condensation to polymer aggregation

Wolfhard Janke, Johannes Zierenberg

We draw an analogy between droplet formation in dilute particle and polymer systems. Our arguments are based on finite-size scaling results from studies of a two-dimensional lattic…

cond-mat.stat-mech2017★ 4 cited

Chromatic polynomials of random graphs

Frank Van Bussel, Christoph Ehrlich, Denny Fliegner +2

Chromatic polynomials and related graph invariants are central objects in both graph theory and statistical physics. Computational difficulties, however, have so far restricted stu…

cond-mat.stat-mech2017★ 47 cited

Percolation thresholds and fractal dimensions for square and cubic lattices with long-range correlated defects

Johannes Zierenberg, Niklas Fricke, Martin Marenz +3

We study long-range power-law correlated disorder on square and cubic lattices. In particular, we present high-precision results for the percolation thresholds and the fractal dime…

cond-mat.stat-mech2017★ 5 cited

Transition barrier at a first-order phase transition in the canonical and microcanonical ensemble

Wolfhard Janke, Philipp Schierz, Johannes Zierenberg

We compare the transition barrier that accompanies a first-order phase transition in the canonical and microcanonical ensemble. This is directly encoded in the probability distribu…

cond-mat.stat-mech2007★ 574 cited

Dynamical synapses causing self-organized criticality in neural networks

Anna Levina, J. Michael Herrmann, Theo Geisel

We show that a network of spiking neurons exhibits robust self-organized criticality if the synaptic efficacies follow realistic dynamics. Deriving analytical expressions for the a…

cond-mat.stat-mech2006★ 2.3k cited

The scaling laws of human travel

D. Brockmann, L. Hufnagel, T. Geisel

The dynamic spatial redistribution of individuals is a key driving force of various spatiotemporal phenomena on geographical scales. It can synchronise populations of interacting s…