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Home » Ten ways in which the 2d self-avoiding walk should converge to SLE

Seminar

Ten ways in which the 2d self-avoiding walk should converge to SLE April 24, 2012 (04:00 PM PDT - 05:00 PM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Tom Kennedy
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The self-avoiding walk is a model of random walks on a lattice in which one only allows walks which do not intersect themselves. It is believed that in two dimensions this model should satisfy a form of conformal invariance, and the scaling limit should be the Schramm-Loewner evolution (SLE) with kappa=8/3. There are a variety of different senses in which the scaling limit should converge to SLE. I will review some of the well known conjectures and present some new conjectures. There are no proofs of any of these conjectures, but most of them are supported by Monte Carlo simulations.

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