44 citations · 99 across the 11 of their papers we have counts for
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cond-mat.stat-mech2018★ 3 cited
Spacetime Symmetries, Invariant Sets, and Additive Subdynamics of Cellular Automata
Adam Rupe, James P. Crutchfield
Cellular automata are fully-discrete, spatially-extended dynamical systems that evolve by simultaneously applying a local update function. Despite their simplicity, the induced glo…
cond-mat.stat-mech2018★ 17 cited
Local Causal States and Discrete Coherent Structures
Adam Rupe, James P. Crutchfield
Coherent structures form spontaneously in nonlinear spatiotemporal systems and are found at all spatial scales in natural phenomena from laboratory hydrodynamic flows and chemical…