Knot invariants and cellular automata

DOI10.1016/0167-2789(90)90192-RzbMath0727.57006OpenAlexW2095572233MaRDI QIDQ803586

Brosl Hasslacher, David A. Meyer

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90192-r

zbMATH Keywords

statistical mechanicssolvable modelscellular automaton systemsinvariants of knots

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Statics (70C20)

Uses Software

• Mathematica

Cites Work

• On knot invariants related to some statistical mechanical models
• The Yang-Baxter equation and invariants of links
• Knots, links, braids and exactly solvable models in statistical mechanics
• An operator on regular isotopy invariants of link diagrams
• On the Reidemeister Moves of a Classical Knot
• Invariant in cellular automata
• Statistical mechanics of cellular automata
• Equivalence of Cellular Automata to Ising Models and Directed Percolation
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• On Knots. (AM-115)
• Fourier’s law and the Green-Kubo formula in a cellular-automaton model
• An Invariant of Regular Isotopy
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