Probabilistic cellular automata (PCA) are interacting discrete stochastic dynamical systems used as a modelling tool for a wide range of natural and societal phenomena. On the applied side, PCA constitute an attractive computational framework for high performance computing, distributed computing and simulations. Indeed, PCA have been put to good use as part of multiscale simulation frameworks for studying natural systems or large interconnected network structures. On the mathematical side, PCA have a rich mathematical theory that leads to a better understanding of the role of randomness and synchronicity in the evolution of large systems. This book attempts to present a wide panorama of the current status of PCA theory and applications. These various contributions cover important subjects seen from probabilistic, statistical mechanical, computational and dynamical system points of view, and illustrated with applications to computer science and natural sciences. It gathers contributions from scientists with different perspectives, expectations, backgrounds and techniques. By bringing together works from international experts, this book intends to disseminate terminologies, common knowledge, tools, references and challenges. This project started with a workshop organised in June 2013 at Eurandom 1, TU Eindhoven. The organising committee wants to thank O. Boxma, F. den Hollander and R. van der Hofstad for scientific support. P. Koorn is warmly acknowledged for organisational and administrative help regarding this meeting. The workshop was very well attended by international participants. Presentations produced lively discussions both at theoretical and applied levels. Feedback was very positive about the event. The opportunity to publish associated papers in a scientific journal was considered. Nevertheless the strong interdisciplinary aspects were not compatible with the specific scope of a journal. Motivated by the nice atmosphere and proven interest, the organising committee enthusiastically became the editorial board of a contributed book. This choice granted more freedom and allowed a more introductory style of the contributions, requiring them to be understandable and useful for scientists in different communities. The board worked on a collective basis sharing the different tasks and applying the respective areas of expertise to develop the three parts. An effort was made to select contributors from different academic status to foster interaction among generations. We are grateful to all senior an junior researchers that responded to this effort. It is a great pleasure for the editorial board to see this project finalized. We want to thank all the colleagues for their contributions that helped concreting our vision. We acknowledge many referees whose help was decisive. Finally, the main editors, P.-Y. Louis and F. R. Nardi are grateful to the other board members E. Cirillo, N. Fates, R. Fernandez, R. Merks, W. Ruszel and C. Spitoni for their competence and involvement in carrying out this project. This book is aimed to researchers and motivated students who want to gain more insight into this broad topic. Our purpose is to stimulate cross-fertilisation both at theoretical and applied levels. We think that the introductory level of this book could be a good starting point for nonspecialists wishing to enter the field. The book should also be of interest as a source of challenges and open issues. As emphasized, probabilistic cellular automata is a lively topic, and this book does not claim to be either self-contained or exhaustive. Finally, despite our eorts, some errors, omissions or amendments may have escape our attention. We are grateful for feedback, corrections and comments.

Probabilistic Cellular Automata: Theory, Applications and Future Perspectives / Louis, Pierre-Yves; Nardi, Francesca R;. - STAMPA. - (2018), pp. 1-338.

Probabilistic Cellular Automata: Theory, Applications and Future Perspectives

NARDI, FRANCESCA ROMANA
Membro del Collaboration Group
2018

Abstract

Probabilistic cellular automata (PCA) are interacting discrete stochastic dynamical systems used as a modelling tool for a wide range of natural and societal phenomena. On the applied side, PCA constitute an attractive computational framework for high performance computing, distributed computing and simulations. Indeed, PCA have been put to good use as part of multiscale simulation frameworks for studying natural systems or large interconnected network structures. On the mathematical side, PCA have a rich mathematical theory that leads to a better understanding of the role of randomness and synchronicity in the evolution of large systems. This book attempts to present a wide panorama of the current status of PCA theory and applications. These various contributions cover important subjects seen from probabilistic, statistical mechanical, computational and dynamical system points of view, and illustrated with applications to computer science and natural sciences. It gathers contributions from scientists with different perspectives, expectations, backgrounds and techniques. By bringing together works from international experts, this book intends to disseminate terminologies, common knowledge, tools, references and challenges. This project started with a workshop organised in June 2013 at Eurandom 1, TU Eindhoven. The organising committee wants to thank O. Boxma, F. den Hollander and R. van der Hofstad for scientific support. P. Koorn is warmly acknowledged for organisational and administrative help regarding this meeting. The workshop was very well attended by international participants. Presentations produced lively discussions both at theoretical and applied levels. Feedback was very positive about the event. The opportunity to publish associated papers in a scientific journal was considered. Nevertheless the strong interdisciplinary aspects were not compatible with the specific scope of a journal. Motivated by the nice atmosphere and proven interest, the organising committee enthusiastically became the editorial board of a contributed book. This choice granted more freedom and allowed a more introductory style of the contributions, requiring them to be understandable and useful for scientists in different communities. The board worked on a collective basis sharing the different tasks and applying the respective areas of expertise to develop the three parts. An effort was made to select contributors from different academic status to foster interaction among generations. We are grateful to all senior an junior researchers that responded to this effort. It is a great pleasure for the editorial board to see this project finalized. We want to thank all the colleagues for their contributions that helped concreting our vision. We acknowledge many referees whose help was decisive. Finally, the main editors, P.-Y. Louis and F. R. Nardi are grateful to the other board members E. Cirillo, N. Fates, R. Fernandez, R. Merks, W. Ruszel and C. Spitoni for their competence and involvement in carrying out this project. This book is aimed to researchers and motivated students who want to gain more insight into this broad topic. Our purpose is to stimulate cross-fertilisation both at theoretical and applied levels. We think that the introductory level of this book could be a good starting point for nonspecialists wishing to enter the field. The book should also be of interest as a source of challenges and open issues. As emphasized, probabilistic cellular automata is a lively topic, and this book does not claim to be either self-contained or exhaustive. Finally, despite our eorts, some errors, omissions or amendments may have escape our attention. We are grateful for feedback, corrections and comments.
978-3-319-65556-7
Goal 17: Partnerships for the goals
Louis, Pierre-Yves; Nardi, Francesca R;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1079562
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