... Dr. Thomas Pellizzari Dr. Stefan Bornholdt University of Innsbruck University of Kiel Inst ..... more ... Dr. Thomas Pellizzari Dr. Stefan Bornholdt University of Innsbruck University of Kiel Inst ... John von Neumann's "self-reproducing automaton", and John Horton Conway's game of Life are perhaps the most widely known examples of cellular automata showing complex behavior on ...
A simple spin model is studied, motivated by the dynamics of traders in a market where expectatio... more A simple spin model is studied, motivated by the dynamics of traders in a market where expectation bubbles and crashes occur. The dynamics is governed by interactions which are frustrated across different scales: While ferromagnetic couplings connect each spin to its local neighborhood, an additional coupling relates each spin to the global magnetization. This new coupling is allowed to be anti-ferromagnetic. The resulting frustration causes a metastable dynamics with intermittency and phases of chaotic dynamics. The model reproduces main observations of real economic markets as power-law distributed returns and clustered volatility.
We study a genetic network model of eleven genes that coordinate the cell-cycle dynamics using a ... more We study a genetic network model of eleven genes that coordinate the cell-cycle dynamics using a modeling framework which generalizes the concept of discrete threshold dynamics. By allowing for fluctuations in the transcription/translation times, we introduce noise in the model, accounting for the effects of biochemical stochasticity. We study the dynamical attractor of the cell cycle and find a remarkable robustness against fluctuations of this kind. We identify mechanisms that ensure reliability in spite of fluctuations: 'Catcher' states and persistence of activity levels contribute significantly to the stability of the yeast cell cycle despite the inherent stochasticity.
... Dr. Thomas Pellizzari Dr. Stefan Bornholdt University of Innsbruck University of Kiel Inst ..... more ... Dr. Thomas Pellizzari Dr. Stefan Bornholdt University of Innsbruck University of Kiel Inst ... John von Neumann's "self-reproducing automaton", and John Horton Conway's game of Life are perhaps the most widely known examples of cellular automata showing complex behavior on ...
A simple spin model is studied, motivated by the dynamics of traders in a market where expectatio... more A simple spin model is studied, motivated by the dynamics of traders in a market where expectation bubbles and crashes occur. The dynamics is governed by interactions which are frustrated across different scales: While ferromagnetic couplings connect each spin to its local neighborhood, an additional coupling relates each spin to the global magnetization. This new coupling is allowed to be anti-ferromagnetic. The resulting frustration causes a metastable dynamics with intermittency and phases of chaotic dynamics. The model reproduces main observations of real economic markets as power-law distributed returns and clustered volatility.
We study a genetic network model of eleven genes that coordinate the cell-cycle dynamics using a ... more We study a genetic network model of eleven genes that coordinate the cell-cycle dynamics using a modeling framework which generalizes the concept of discrete threshold dynamics. By allowing for fluctuations in the transcription/translation times, we introduce noise in the model, accounting for the effects of biochemical stochasticity. We study the dynamical attractor of the cell cycle and find a remarkable robustness against fluctuations of this kind. We identify mechanisms that ensure reliability in spite of fluctuations: 'Catcher' states and persistence of activity levels contribute significantly to the stability of the yeast cell cycle despite the inherent stochasticity.
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Papers by Stefan Bornholdt