skip to content

Prudent and quasi-prudent self-avoiding walks and polygons

Friday 25th April 2008 - 10:00 to 11:00
INI Seminar Room 1

Prudent self-avoiding walks and quasi-prudent self-avoiding walks are proper subsets of self-avoiding walks in dimension 2 or greater. Prudent SAW are not allowed to take a step in a direction which, if continued, would encounter a previously visited vertex. Quasi-prudent walks are self-avoiding walks where a step to a neighbouring vertex v can only be taken if there is a prudent way to escape from v (in other words, if v can be seen from infinity). Polygon versions of the walks can be defined as walks (prudent or quasi-prudent) which end at a vertex adjacent to their starting point.

A variety of results, both rigorous and numerical, will be given for these models, mainly for two-dimensional walks, but we also have some preliminary results for walks on a three-dimensional lattice.

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons