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تسجيل مستخدم جديدOn Symmetry versus Asynchronism: at the Edge of Universality in Automata Networks
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نشر من قبل
Guillaume Theyssier
تاريخ النشر
2021
مجال البحث
الهندسة المعلوماتية
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English
تأليف
Martin Rios Wilson
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An automata network (AN) is a finite graph where each node holds a state from a finite alphabet and is equipped with a local map defining the evolution of the state of the node depending on its neighbors. The global dynamics of the network is then induced by an update scheme describing which nodes are updated at each time step. We study how update schemes can compensate the limitations coming from symmetric local interactions. Our approach is based on intrinsic simulations and universality and we study both dynamical and computational complexity. By considering several families of concrete symmetric AN under several different update schemes, we explore the edge of universality in this two-dimensional landscape. On the way, we develop a proof technique based on an operation of glueing of networks, which allows to produce complex orbits in large networks from compatible pseudo-orbits in small networks.
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, University of then West of England
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