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Invariants of Random KnotsMathematical Physics & Probability
|Speaker: ||Joel Hass, UC Davis|
|Location: ||1147 MSB|
|Start time: ||Wed, Feb 25 2015, 4:10PM|
Random curves in space and how they are knotted
give an insight into the behavior of “typical” knots and links.
They have been studied by biologists and physicists
in the context of the structure of random polymers.
There have been many results obtained via computational experiment, but
few explicit computations. In work with Evan-Zohar, Linial and Nowik, we
have found explicit formulas for the distributions of the linking number of
a two component link. We also find formulas for the moments of
two finite type invariants of knots, the Casson invariant and
for a coefficient of the Jones polynomial.