119 citations · 606 across the 12 of their papers we have counts for
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nlin.CD2010★ 5 cited
The Past and the Future in the Present
James P. Crutchfield, Christopher J. Ellison
We show how the shared information between the past and future---the excess entropy---derives from the components of directional information stored in the present---the predictive…
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…