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The zeta function of the infinite grid

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Bryan Clair, SLU

What
  • Analysis Seminar
When Fri, Dec 06, 2013
from 03:10 PM to 04:00 PM
Where RH 237
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The zeta function of a graph is the generating function counting certain prime loops in the graph.  For the infinite grid, the zeta function is given by a double integral.

In this talk, I'll give the background behind the zeta function and some connections to the classical Ising model of a ferromagnet.  Then, using theta functions, I'll discuss the analytic continuation of the zeta function to a Riemann surface.

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