Aurea Anguera, Juan A. Lara, David Lizcano, María-Aurora Martínez, Juan Pazos & F. David de la Peña
Foundations of Science volume 25, pages1203–1225(2020)

Turing was an exceptional mathematician with a peculiar and fascinating personality and yet he remains largely unknown. In fact, he might be considered the father of the von Neumann architecture computer and the pioneer of Artificial Intelligence. And all thanks to his machines; both those that Church called “Turing machines” and the a-, c-, o-, unorganized- and p-machines, which gave rise to evolutionary computations and genetic programming as well as connectionism and learning. This paper looks at all of these and at why he is such an often overlooked and misunderstood figure.

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S. Wolfram, “A Class of Models with the Potential to Represent Fundamental Physics,” Complex Systems, 29(2), 2020 pp. 107–536.
https://doi.org/10.25088/ComplexSystems.29.2.107

A class of models intended to be as minimal and structureless as possible is introduced. Even in cases with simple rules, rich and complex behavior is found to emerge, and striking correspondences to some important core known features of fundamental physics are seen, suggesting the possibility that the models may provide a new approach to finding a fundamental theory of physics.

Many simple models of disease spread assume a homogeneous population (or population groups) with a uniform basic reproduction number ( R 0 ). The goal here is to develop and analyze an agent-based model of disease that models: (1) variability of interaction rates between agents; and (2) the structure of the in-person contact network.

C. Wolfram, “An Agent-Based Model of COVID-19,” Complex Systems, 29(1), 2020 pp. 87–105.
https://doi.org/10.25088/ComplexSystems.29.1.87 

We propose a max-plus equation that includes Conway’s Game of Life (GoL) as a special case. There are some special solutions to the equation that include and unify solutions to GoL. Moreover, the multivalue extension of GoL is derived from the equation, and the behavior of solutions is discussed.

K. Sakata, Y. Tanaka and D. Takahashi, “Max-Plus Generalization of Conway’s Game of Life,” Complex Systems, 29(1), 2020 pp. 63–76.
https://doi.org/10.25088/ComplexSystems.29.1.63 

It has been thought of as many things: a pointlike object, an excitation of a field, a speck of pure math that has cut into reality. But never has physicists’ conception of a particle changed more than it is changing now.

Read the full article at: www.quantamagazine.org