This brief essay reviews an approach to defining and then detecting the emergence of complexity in nonlinear processes. It is, in fact, a synopsis of Reference [1] that leaves out the technical ...

The Santa Fe Institute is an independent, nonprofit research and education center that leads global research in complexity science. SFI scientists seek the shared patterns and regularities across ...

For nearly a century, scientists from a diverse set of fields have been captured by questions about the origins of life. How did life, in all of its complexity, arise from comparatively simple matter?

Complex Systems Summer School (CSSS) offers an intensive four-week introduction to complex behavior in mathematical, physical, living, and social systems. CSSS brings together graduate students, ...

The SFI Undergraduate Complexity Research (UCR) program is a 10-week residential experience in complexity science research. Students can select from a menu of projects, or develop a project in ...

We conjecture that adaptive systems are characterized by a self-referential loop in which combinatorial objects encode functions that act back on these objects. A model for this loop is presented. It ...

We are building a theoretical framework that will guide the creation of artificial agents that adjust their neural networks (brains) to feedback from their bodies and surroundings -- in essence to ...

The Complex World, originally published in Volume 1 of Foundational Papers in Complexity Science, presents an entirely new framing of nature, of the human role in the natural and technological worlds, ...

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Scientists are working across disciplines to render complex reality to scientific understanding. It has been the great triumph of the sciences to find consistent means of studying phenomena hidden by ...

This paper tests two of the simplest and most popular trading rules--moving average and trading range break, by utilizing a very long data series, the Dow Jones index from 1897 to 1986. Standard ...

This paper formally defines tipping points as a discontinuity between current and future states of a system and introduces candidate measures of when a system tips based on changes in the probability ...