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- Max Planck Institute for Mathematics in the SciencesDE139 papers
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10 papers · 2 filters
Fundamental scaling laws of on-off intermittency in a stochastically driven dissipative pattern forming system
Th. John, U. Behn, R. Stannarius
Noise driven electroconvection in sandwich cells of nematic liquid crystals exhibits on-off intermittent behaviour at the onset of the instability. We study laser scattering of con…
Self-organized critical neural networks
Stefan Bornholdt, Torsten Roehl
A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of…
Critical Behaviour of Non-Equilibrium Phase Transitions to Magnetically Ordered States
Thomas Birner, Karen Lippert, Reinhard Müller +2
We describe non-equilibrium phase transitions in arrays of dynamical systems with cubic nonlinearity driven by multiplicative Gaussian white noise. Depending on the sign of the spa…
About the Functional Form of the Parisi Overlap Distribution for the Three-Dimensional Edwards-Anderson Ising Spin Glass
Bernd A. Berg, Alain Billoire, Wolfhard Janke
Recently, it has been conjectured that the statistics of extremes is of relevance for a large class of correlated system. For certain probability densities this predicts the charac…
Random-cluster multi-histogram sampling for the q-state Potts model
Martin Weigel, Wolfhard Janke, Chin-Kun Hu
Using the random-cluster representation of the -state Potts models we consider the pooling of data from cluster-update Monte Carlo simulations for different thermal couplings $K…
Fat Fisher Zeroes
W. Janke, D. A. Johnston, M. Stathakopoulos
We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar (``fat'') phi4 random graphs and their dual quadrangula…