E pluribus unum: From Complexity, Universality

Author:

Tao Terence1

Affiliation:

1. Terence Tao, a Fellow of the American Academy since 2009, is Professor of Mathematics at the University of California, Los Angeles. His publications include An Introduction to Measure Theory (2011) and Solving Mathematical Problems: A Personal Perspective (2006). Three of his books, Structure and Randomness (2008), Poincaré's Legacies (2009), and An Epsilon of Room (2010), draw from the mathematical research blog he has maintained since 2007.

Abstract

In this brief survey, I discuss some examples of the fascinating phenomenon of universality in complex systems, in which universal macroscopic laws of nature emerge from a variety of different microscopic dynamics. This phenomenon is widely observed empirically, but the rigorous mathematical foundation for universality is not yet satisfactory in all cases.

Publisher

MIT Press - Journals

Subject

History and Philosophy of Science,Political Science and International Relations,Social Sciences (miscellaneous),Arts and Humanities (miscellaneous)

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1. The empty world – a view from the free volume concept and Eyring's rate process theory;Physical Chemistry Chemical Physics;2024

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3. Reckoning with Continuum Idealizations: Some Lessons from Soil Hydrology;Philosophy of Science;2022-02-11

4. Zipf’s law for atlas models;Journal of Applied Probability;2020-11-23

5. What Sociologists Should Know About Complexity;Annual Review of Sociology;2015-08-14

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