# Random walks and kernel methods

#### Random walks and kernel methods

- Event time: 11:30am until 12:30pm
- Event date: 7th February 2018
- Speaker: Mr Anthony Wood (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

I will present a method of tackling a class of 2-D random walks. Using an example of a 2-D walker with 3 possible movements, I will outline a derivation of the full generating function for paths of various lengths and initial conditions, starting from a recursion relation. This is a somewhat unconventional method that exploits the symmetry of a `kernel'.

My own work is predominantly based around the totally asymmetric exclusion process, which relies on a mapping of the matrix product algebra to one such 2-D walk.

Reference: Bousquet-Mélou, M. and Mishna, M., 2010. Walks with small steps in the quarter plane. Contemp. Math, 520, pp.1-40.

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