Multiplicative functionals on ensembles of non-intersecting paths (Q2261591)

In this paper, the authors develop a theory behind the occurrence of path-integral kernels in the study of extended determinantal point processes and non-intersecting line ensembles. It is shown how the path-integral kernels appear when ratios of partition functions and expectations of multiplicative functionals for ensembles of non-intersecting paths of weighted graphs are studied. Furthermore, it is shown how Fredholm determinants with extended kernels are equal to Fredholm determinants with path-integrated kernels.