44 citations · 99 across the 11 of their papers we have counts for
5 papers · 1 filter
On Principles of Emergent Organization
Adam T. Rupe, James P. Crutchfield
After more than a century of concerted effort, physics still lacks basic principles of spontaneous self-organization. To appreciate why, we first state the problem, outline histori…
Algebraic Theory of Patterns as Generalized Symmetries
Adam Rupe, James P. Crutchfield
We generalize the exact predictive regularity of symmetry groups to give an algebraic theory of patterns, building from a core principle of future equivalence. For topological patt…
Nonequilibrium Statistical Mechanics and Optimal Prediction of Partially-Observed Complex Systems
Adam Rupe, Velimir V. Vesselinov, James P. Crutchfield
Only a subset of degrees of freedom are typically accessible or measurable in real-world systems. As a consequence, the proper setting for empirical modeling is that of partially-o…
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…
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…