We will start with an introduction to Gibbs distributions and explain why it is useful to study the partition function of such distributions. We next describe a model of a random string evolving in Rn among random obstacles of finite width up to a fixed time T. The string dies when any part of it hits an obstacle. This model is given by a Gibbs distribution and we look at the partition function of this distribution, which is simply the probability that the string survives up to time T.
Date: 22 November

