An interacting particle system related to the quantum Toda chain

Add to your list(s) Download to your calendar using vCal

• O'Connell, N (University of Warwick)
• Tuesday 18 September 2012, 15:00-15:40
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Mathematics and Physics of Anderson localization: 50 Years After

I will describe an interacting particle system which can be `solved’ via a connection with the quantum Toda chain. The particle system can be regarded as a discretisation of the KPZ (or stochastic heat) equation and is closely related to a semi-discrete directed random polymer model in 1+1 dimensions. The connection to the quantum Toda chain yields an explicit integral formula for the Laplace transform of the distribution of the partition function associated with the polymer model.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.