125 citations · 759 across the 31 of their papers we have counts for
4 papers · 1 filter
Scaling limits for non-intersecting polymers and Whittaker measures
Samuel G. G. Johnston, Neil O'Connell
We study the partition functions associated with non-intersecting polymers in a random environment. By considering paths in series and in parallel, the partition functions carry na…
Interacting diffusions on positive definite matrices
Neil O'Connell
We consider systems of Brownian particles in the space of positive definite matrices, which evolve independently apart from some simple interactions. We give examples of such proce…
Moments of discrete orthogonal polynomial ensembles
Philip Cohen, Fabio Deelan Cunden, Neil O'Connell
We obtain factorial moment identities for the Charlier, Meixner and Krawtchouk orthogonal polynomial ensembles. Building on earlier results by Ledoux [Elect. J. Probab. 10, (2005)]…
Loop-erased walks and random matrices
Jonas Arista, Neil O'Connell
It is well known that there are close connections between non-intersecting processes in one dimension and random matrices, based on the reflection principle. There is a generalisat…