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“Self-avoiding motion “
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Wednesday, 16. Sept 2015 |
Audio-only-Recording as MP3-File (smallest
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- Audio.mp3 (ca.28 Mb) ============================================ Video-Recording for any system with MP4-support:
- Video.mp4 (ca.385 Mb) |
15:15 – 16:15 |
Abstract :
The
self-avoiding walk (SAW) is a model for polymers that assigns equal probability
to all paths that do not return
to places they
have already been. The lattice version of this problem, while elementary to
define, has proved to be
notoriously
difficult and is still open. It is initially more challenging to construct a
continuous limit of the lattice model
which is a
random fractal. However, in two dimensions this has been done and the
continuous model
(Schram-Loewner
evolution) can be analyzed rigorously and
used to understand the nonrigorous predictions
about
SAWs. I will survey some results in this
area and then discuss some recent work on this ``continuous SAW''.