160 citations · 817 across the 25 of their papers we have counts for
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nlin.CD2010★ 32 cited
Many Roads to Synchrony: Natural Time Scales and Their Algorithms
Ryan G. James, John R. Mahoney, Christopher J. Ellison +1
We consider two important time scales---the Markov and cryptic orders---that monitor how an observer synchronizes to a finitary stochastic process. We show how to compute these ord…
cond-mat.stat-mech2010★ 29 cited
Synchronization and Control in Intrinsic and Designed Computation: An Information-Theoretic Analysis of Competing Models of Stochastic Computation
James P. Crutchfield, Christopher J. Ellison, Ryan G. James +1
We adapt tools from information theory to analyze how an observer comes to synchronize with the hidden states of a finitary, stationary stochastic process. We show that synchroniza…