James P. Crutchfield

TL;DR: The results show, via a close quantitative agreement, that the embedded-particle framework captures the main information processing mechanisms of the emergent computation that arise in these evolved CAs.

TL;DR: In this article, the structural information theory of memoryful channels, channel composition, and allied conditional information measures has been studied, and a principled structural analysis of mechanisms that support information flow between processes has been presented.

TL;DR: This work analyzes the population dynamics for a class of fitness functions that exhibit epochal behavior using a mathematical framework developed recently that incorporates techniques from the fields of mathematical population genetics, molecular evolution theory, and statistical mechanics to identify a generalized error threshold that smoothly bounds the two-dimensional regime of mutation rates and population sizes.

TL;DR: In this paper, it was shown that causal similarity as quantum state-indistinguishability provides a quantum advantage for synchronizing over a quantum channel, and a sequence of constructions that exploit extended causal structures, finding substantial increase of the quantum advantage.

TL;DR: In this article, an experimental mathematics facility, containing both special-purpose dedicated machines and general-purpose mainframes, may someday provide the ideal context for complex nonlinear problems, which can be explored mathematically.