Probabilistic Cellular Automata Theory, Applications and Future Perspectives /

This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Emergence, Complexity and Computation, 27
Témata:
Probabilities.
Computational complexity.
Biomathematics.
Statistics .
Bioinformatics .
Computational biology .
Mathematical statistics.
ISBN:9783319655581
ISSN:2194-7287 ;
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Obsah:
  • Preface
  • Acknowledgements
  • 1 Overview: PCA models and issues
  • 2 Probabilistic Cellular Automata in Art.- Part I Probability and statistical mechanics
  • 3 Basic ideas to approach metastability in Probabilistic Cellular Automata
  • 4 Strategic Interaction in Interacting Particle Systems
  • 5 Scaling and inverse scaling in anisotropic bootstrap percolation
  • 6 The sandpile cellular automaton
  • 7 Ising Model on the Torus and PCA Dynamics: reversibility, irreversibility, and fast tunneling
  • 8 Synchronization in Interacting Reinforced Stochastic Processes
  • 9 Nonequilibrium physics aspects of Probabilistic Cellular Automata.- Part II Computer science and discrete dynamical systems
  • 10 An example of computation of the density of ones in Probabilistic Cellular Automata by direct recursion
  • 11 Statistical equilibrium in deterministic Cellular Automata
  • 12 Epidemic automaton and the Eden model: various aspects of robustness
  • 13 Convergence time of Probabilistic Cellular Automata on the torus
  • 14 Percolation operators and related models
  • 15 Phase transitions of Cellular Automata.- Part III Applications to natural sciences and computational (cell) biology
  • 16 A trade-off between simplicity and robustness? Illustration on a lattice-gas model of swarming
  • 17 PCA modelling of multi-species cell clusters: ganglion development in the gastrointestinal nervous system
  • 18 Cellular Potts model: applications to vasculogenesis and angiogenesis
  • 19 Cellular Potts Models for interacting cell populations: mathematical foundation, challenges and future prospects
  • 20 Cellular Automata for clouds and convection.- Participants of the 2013 Eindhoven meeting.

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