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Titlebook: Cellular Automata and Cooperative Systems; Nino Boccara,Eric Goles,Pierre Picco Book 1993 Springer Science+Business Media Dordrecht 1993 R

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Christian Freilinger,Norbert A. KlisWe show how non-Gibbsian states arise as a consequence of renormalizing Gibbs states for classical finite-spin lattice systems. We also discuss possible extensions to unbounded or quantum spins and some new problems occurring in these cases.
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Complexity of Infinite Sequences and the Ising Transducer,We recall that the 1 — . Ising model consists of a one-dimensional lattice, which can be infinite, finite or cyclic; at each site a “spin” takes the value + 1 or −1. A configuration . = (.., .., ⋯, ..) ∈ −1, +1. is a given choice of the values of the spins, (. can be equal to +∞, and in the case of a cyclic model one assumes that .. = ..).
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