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Invertible linear cellular automata over Zm: Algorithmic and dynamical aspects

https://doi.org/10.1007/bfb0029981
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-63165-8_232openalex-snapshot
A complete and efficiently computable topological classification of D-dimensional linear cellular automata over Z m
inferredcites →https://doi.org/10.1007/bf01020648openalex-snapshot
Exact results for deterministic cellular automata with additive rules
inferredcites →https://doi.org/10.1007/bfb0023478openalex-snapshot
On ergodic linear cellular automata over Zm
inferredcites →https://doi.org/10.1016/0019-3577(93)90040-6openalex-snapshot
Expansiveness, entropy and polynomial growth for groups acting on subshifts by automorphisms
inferredcites →https://doi.org/10.1016/0020-0190(93)90061-dopenalex-snapshot
Decidability for some problems of linear cellular automata over finite commutative rings
inferredcites →https://doi.org/10.1016/0022-0000(83)90033-8openalex-snapshot
Linear cellular automata over Z
inferredcites →https://doi.org/10.1016/0022-0000(85)90048-0openalex-snapshot
Dynamical characteristics of linear cellular automata
inferredcites →https://doi.org/10.1016/0031-8914(69)90265-1openalex-snapshot
Noise in optical mixing
inferredcites →https://doi.org/10.1016/0167-2789(90)90185-ropenalex-snapshot
Invertible cellular automata: A review
inferredcites →https://doi.org/10.1016/0167-2789(90)90195-uopenalex-snapshot
Reversibility of 2D cellular automata is undecidable
inferredcites →https://doi.org/10.1016/b978-0-444-88071-0.50015-1openalex-snapshot
Graph Algorithms
inferredcites →https://doi.org/10.1016/s0022-0000(05)80025-xopenalex-snapshot
Reversibility and surjectivity problems of cellular automata
inferredcites →https://doi.org/10.1016/s0022-0000(05)80083-2openalex-snapshot
Group structured linear cellular automata over Zm
inferredcites →https://doi.org/10.1016/s0022-0000(72)80009-6openalex-snapshot
Tessellations with local transformations
inferredcites →https://doi.org/10.1016/s0022-0000(72)80013-8openalex-snapshot
Decision procedures for surjectivity and injectivity of parallel maps for tessellation structures
inferredcites →https://doi.org/10.1016/s0304-3975(95)00022-4openalex-snapshot
Additive one-dimensional cellular automata are chaotic according to Devaney's definition of chaos
inferredcites →https://doi.org/10.1016/s0304-3975(99)00031-6openalex-snapshot
A complete and efficiently computable topological classification of D-dimensional linear cellular automata over Zm

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Attractors of Linear Cellular Automata
inferred← citeshttps://doi.org/10.1007/11505877_5openalex-snapshot
Reversible Cellular Automata
inferred← citeshttps://doi.org/10.1007/3-540-46541-3_9openalex-snapshot
Linear Cellular Automata with Multiple State Variables
inferred← citeshttps://doi.org/10.1007/978-3-642-30870-3_64openalex-snapshot
On Shift Spaces with Algebraic Structure
inferred← citeshttps://doi.org/10.1007/bfb0028555openalex-snapshot
Attractors of D-dimensional Linear Cellular Automata
inferred← citeshttps://doi.org/10.1007/bfb0055076openalex-snapshot
On computing the entropy of cellular automata
inferred← citeshttps://doi.org/10.1007/bfb0055096openalex-snapshot
Inversion of circulant matrices over Zm
inferred← citeshttps://doi.org/10.1007/bfb0055834openalex-snapshot
Characterization of sensitive linear cellular automata with respect to the counting distance
inferred← citeshttps://doi.org/10.1016/j.amc.2005.05.039openalex-snapshot
The topological entropy of nth iteration of an additive cellular automata
inferred← citeshttps://doi.org/10.1016/j.cam.2007.01.020openalex-snapshot
The topological entropy of invertible cellular automata
inferred← citeshttps://doi.org/10.1016/j.cam.2008.08.012openalex-snapshot
On the topological directional entropy
inferred← citeshttps://doi.org/10.1016/j.ins.2015.06.048openalex-snapshot
Reversibility of general 1D linear cellular automata over the binary field Z2 under null boundary conditions
inferred← citeshttps://doi.org/10.1016/j.ins.2016.01.062openalex-snapshot
On the Bernoulli automorphism of reversible linear cellular automata
inferred← citeshttps://doi.org/10.1016/j.ins.2019.10.068openalex-snapshot
Ternary reversible number-conserving cellular automata are trivial
inferred← citeshttps://doi.org/10.1016/j.ipl.2007.02.002openalex-snapshot
On cellular automata over Galois rings
inferred← citeshttps://doi.org/10.1016/j.physd.2021.133075openalex-snapshot
Reversibility of number-conserving 1D cellular automata: Unlocking insights into the dynamics for larger state sets
inferred← citeshttps://doi.org/10.1016/j.tcs.2004.06.008openalex-snapshot
Solution of some conjectures about topological properties of linear cellular automata
inferred← citeshttps://doi.org/10.1016/j.tcs.2004.11.021openalex-snapshot
Theory of cellular automata: A survey
inferred← citeshttps://doi.org/10.1016/j.tcs.2009.06.023openalex-snapshot
On the directional dynamics of additive cellular automata
inferred← citeshttps://doi.org/10.1016/j.tcs.2014.11.005openalex-snapshot
A family of sand automata
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00471-8openalex-snapshot
Inversion of two level circulant matrices over Zp
inferred← citeshttps://doi.org/10.1016/s0304-3975(02)00071-3openalex-snapshot
On computing the entropy of cellular automata
inferred← citeshttps://doi.org/10.1016/s0304-3975(99)00031-6openalex-snapshot
A complete and efficiently computable topological classification of D-dimensional linear cellular automata over Zm
inferred← citeshttps://doi.org/10.1090/s0025-5718-00-01235-7openalex-snapshot
Inversion of circulant matrices over 𝐙ₘ
inferred← citeshttps://doi.org/10.1142/s021812741250263xopenalex-snapshot
AN UPPER BOUND OF THE DIRECTIONAL ENTROPY WITH RESPECT TO THE MARKOV MEASURES
inferred← citeshttps://doi.org/10.1145/349194.349202openalex-snapshot
A brief history of cellular automata
inferred← citeshttps://doi.org/10.13140/rg.2.2.35585.61283openalex-snapshot
Cellular Automata: Reversibility, Semi-reversibility and Randomness
inferred← citeshttps://doi.org/10.2969/jmsj/05240725openalex-snapshot
Expansive invertible onesided cellular automata
inferred← citeshttps://doi.org/10.3906/mat-1503-18openalex-snapshot
The reversibility problem for a family of two-dimensional cellular automata
inferred← citeshttps://doi.org/10.48550/arxiv.0902.3762openalex-snapshot
Some Ergodic Properties of Invertible Cellular Automata
inferred← citeshttps://doi.org/10.48550/arxiv.1203.6795openalex-snapshot
On Shift Spaces with Algebraic Structure
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