Probabilistic Cellular Automata Theory, Applications and Future Perspectives

Probabilistic Cellular Automata Theory, Applications and Future Perspectives / edited by Pierre-Yves Louis, Francesca R. Nardi.

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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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Louis, Pierre-Yves (Editor), Nardi, Francesca R. (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Emergence, Complexity and Computation, 27
Springer eBook Collection.
Subjects:
Probabilities.
Computational complexity.
Biomathematics.
Statistics .
Bioinformatics .
Computational biology .
Mathematical statistics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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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