慢慢啃 发表于 2025-3-23 12:42:45
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On the Surjunctivity and the Garden of Eden Theorem for Non-uniform Cellular Automatalocal rules is uniformly recurrent, or recurrent in the one-dimensional case, the Garden of Eden theorem holds. We also present two surjunctive distributions that are counter-examples to both directions of the Garden of Eden theorem respectively. Finally, we present a distribution which is not surjunctive.低能儿 发表于 2025-3-23 20:19:00
Diddy: A Python Toolbox for Infinite Discrete Dynamical Systemsl shifts of finite type (SFTs). We show how Diddy can be used to easily define SFTs and cellular automata, and analyze their basic properties. We also showcase how to verify or rediscover some results from coding theory and cellular automata theory.CORE 发表于 2025-3-24 00:13:19
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978-3-031-42249-2IFIP International Federation for Information Processing 2023Myelin 发表于 2025-3-24 09:55:26
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The Spectral Theorem for Normal Operatorsetric between words that quantifies how two words differ by counting the number of edit operations needed to transform one word into the other one. A word . is said isometric with respect to an edit distance if, for any pair of .-free words . and ., there exists a transformation of minimal length fr使饥饿 发表于 2025-3-24 16:14:57
https://doi.org/10.1007/0-387-27474-Xlocal rules is uniformly recurrent, or recurrent in the one-dimensional case, the Garden of Eden theorem holds. We also present two surjunctive distributions that are counter-examples to both directions of the Garden of Eden theorem respectively. Finally, we present a distribution which is not surjulinguistics 发表于 2025-3-24 22:19:34
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Real and Complex Inner Product Spacesining a fuzzy CA with three or more states is challenging because defining mixed states is difficult. Recently, this difficulty was resolved by representing multiple states as independent vectors in higher dimensions, and the concept of vector-valued fuzzy CA (VFCA) was introduced. In this study, we