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SUMMARY:Cris Moore (Santa Fe Institute)
DTSTART:20201117T181500Z
DTEND:20201117T184500Z
DTSTAMP:20260423T023010Z
UID:LA-CoCo/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LA-CoCo/12/"
 >Percolation is Odd</a>\nby Cris Moore (Santa Fe Institute) as part of LA 
 Combinatorics and Complexity Seminar\n\n\nAbstract\nIn site percolation\, 
 a spanning configuration is a set of vertices that includes a path from th
 e top of a lattice to the bottom. We prove that for square lattices of any
  height and width\, the number of spanning configurations with an odd or e
 ven number of vertices differs by ±1. In particular\, the total number of
  spanning configurations is always odd. (You may enjoy working out the pro
 of on your own before the talk!) This result holds also for the hypercubic
  lattice in any dimension\, with a wide variety of boundary conditions. \n
 \nThis is joint work with Stephan Mertens.\n
LOCATION:https://researchseminars.org/talk/LA-CoCo/12/
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