Logical depth and physical complexity
A half-century survey on The Universal Turing Machine
Elements of information theory
Elements of information theory
A critical point for random graphs with a given degree sequence
Random Graphs 93 Proceedings of the sixth international seminar on Random graphs and probabilistic methods in combinatorics and computer science
Small worlds: the dynamics of networks between order and randomness
Small worlds: the dynamics of networks between order and randomness
Distributed cognition: toward a new foundation for human-computer interaction research
ACM Transactions on Computer-Human Interaction (TOCHI) - Special issue on human-computer interaction in the new millennium, Part 2
Being There: Putting Brain, Body, and World Together Again
Being There: Putting Brain, Body, and World Together Again
Feynman Lectures on Computation
Feynman Lectures on Computation
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
Combinatorics, Probability and Computing
Toward formal models of biologically inspired, highly parallel machine cognition
International Journal of Parallel, Emergent and Distributed Systems
Combinatorial Groupoids, Cubical Complexes, and the Lovász Conjecture
Discrete & Computational Geometry
Transactions on Computational Systems Biology IX
Artificial Intelligence in Medicine
Component behavior near the critical point of the random graph process
Random Structures & Algorithms
Cultural epigenetics: on the heritability of complex diseases
Transactions on computational systems biology XIII
Transactions on Computational Systems Biology XIV
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Networks of small worlds and Red Queen dynamic structures as analytic-descriptive methods are ubiquitous in expanding areas of research in the cognitive neurosciences, sociopsychological systems and parallel machine cognition. In the setting of the Baars Global Workspace theory, we apply a semantically oriented information-theoretic mechanism, making use of the Onsager relations of statistical physics and the geometry of associated networks. For such networks attention is paid to the concept of dynamic groupoids, their symmetries and other properties. In the case of structural networks influenced by the orbit equivalence relations of a groupoid action, we describe how crosstalk, the emergence of subnetwork giant components and noise induced opportunities contribute to the structure of small world networks and Red Queen dynamics. We create some dynamic models and show how these systems can be formally encapsulated within the idea of a groupoid atlas. Further, we utilize specific geometrical methods to describe the formation of geodesics in the corresponding networks, and include the holonomy concept as providing a geometric representation associated with a phase transition.