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SUMMARY:Theo McKenzie (Stanford University)
DTSTART:20251031T153000Z
DTEND:20251031T163000Z
DTSTAMP:20260422T171635Z
UID:CompMath/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CompMath/21/
 ">The Quantum Chaos of Real-World Networks</a>\nby Theo McKenzie (Stanford
  University) as part of Relatorium seminar\n\n\nAbstract\nModern science i
 ncreasingly relies on predictions derived from massive\, interconnected da
 ta sets—from social networks to neural activity to the internet. To unde
 rstand these complex systems\, we must move beyond surface-level correlati
 ons and uncover the fundamental principles that govern their structure and
  dynamics. Surprisingly\, a fruitful way to analyze these networks is to u
 se the framework created to study atoms in quantum systems. In this talk\,
  I will discuss recent progress in analyzing large networks through the le
 ns of spectral graph theory and quantum chaos. This perspective reveals de
 ep connections between randomness\, geometry\, and statistical physics\, a
 llowing us to prove sharp results about the universal behavior of large ne
 tworks. I’ll trace the development of these ideas from classical spectra
 l graph theory to modern advances inspired by quantum chaotic systems\, an
 d highlight how these methods provide new tools for distinguishing order f
 rom noise in complex data. I’ll conclude by discussing open questions an
 d emerging directions at the intersection of network science\, probability
 \, and mathematical physics.\n\nSpeaker bio: Theo McKenzie is a postdoctor
 al fellow at Stanford University studying probability theory through the l
 ens of random graphs. Specifically\, he studies the relationship between t
 he spectral geometry of graphs and quantum chaos. Previously\, he was a Ph
 D student at Berkeley and a postdoctoral fellow at Harvard. \n\nModerator:
  This talk is moderated by Ted Theodosopoulus. Ted is a mathematician who\
 , after working for years in academia and industry\, transitioned to teach
 ing at the pre-college level sixteen years ago\, the last eight at Nueva\,
  where he teaches math and economics. Ted’s research background is in th
 e area of interacting stochastic systems\, with particular applications in
  biology and economics.\n
LOCATION:https://researchseminars.org/talk/CompMath/21/
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