Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

This is a preview. Log in through your library . Abstract We introduce a random walk in random environment associated to an underlying directed polymer model in 1 + 1 dimensions. This walk is the ...