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In this Presidential Lecture, Salvatore Torquato will discuss how the ‘hyperuniformity’ concept sheds light on these fascinating questions. In a hyperuniform point pattern, density fluctuations become small over large distances relative to those in garden-variety random systems. This single idea provides a unified framework for understanding the structure and geometry of periodic and quasiperiodic systems, as well as exotic disordered systems. Examples from physics, mathematics and biology will reveal surprising connections among optimization problems in discrete geometry, disordered ground states, sphere packings, quantum mechanics, number theory, the structure of the universe and avian photoreceptor mosaics. Torquato will also introduce ‘order metrics’ — mathematical measures that place periodic, quasiperiodic and correlated disordered patterns along a spectrum from greater order to greater disorder, for objective structural comparisons.Uploaded 05-10-26For more information please visit: https://www.simonsfoundation.org/event/hidden-order-the-geometry-of-complex-patterns/ Learn more about your ad choices. Visit megaphone.fm/adchoices
