29 citations · 105 across the 6 of their papers we have counts for
6 papers
SIR-Model for Households
Philipp Doenges, Thomas Götz, Tyll Krueger +3
Households play an important role in disease dynamics. Many infections happening there due to the close contact, while mitigation measures mainly target the transmission between ho…
Self-Organized Criticality and Thermodynamic formalism
B. Cessac, Ph. Blanchard, T. Krueger +1
We introduce a dissipative version of the Zhang's model of Self-Organized Criticality, where a parameter allows to tune the local energy dissipation. We analyze the main dynamical…
Epidemic thresholds on scale-free graphs: the interplay between exponent and preferential choice
Ph. Blanchard, Ch. -H. Chang, T. Krueger
We show for a model of scale-free graphs with biased partner choice that knowing the exponent for the degree distribution is in general not sufficient to decide epidemic threshold…
Lyapunov exponents and transport in the Zhang model of Self-Organized Criticality
B. Cessac, Ph. Blanchard, T. Krueger
We discuss the role played by the Lyapunov exponents in the dynamics of Zhang's model of Self-Organized Criticality. We show that a large part of the spectrum (slowest modes) is as…
Some remarks on periodic billiard orbits in rational polygons
Michael Boshernitzan, G. A. Galperin, Tyll Krüger +1
A polygon is called rational if the angle between each pair of sides is a rational multiple of The main theorem we will prove is Theorem 1: For rational polygons, periodic poi…
Acceleration of bouncing balls in external fields
Tyll Krüger, L. D. Pustyl'nikov, Serge Troubetzkoy
We introduce two models, the Fermi-Ulam model in an external field and a one dimensional system of bouncing balls in an external field above a periodically oscillating plate. For b…