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- W2968052160 abstract "The ensemble $CUE^{(q)}$ of truncated random unitary matrices is a deformation of the usual Circular Unitary Ensemble depending on a discrete non-negative parameter $q.$ $CUE^{(q)}$ is an exactly solved model of random contraction matrices originally introduced in the context of scattering theory. In this article, we exhibit a connection between $CUE^{(q)}$ and Fisher's random-turns vicious walker model from statistical mechanics. In particular, we show that the moment generating function of the trace of a random matrix from $CUE^{(q)}$ is a generating series for the partition function of Fisher's model, when the walkers are assumed to represent mutually attracting particles." @default.
- W2968052160 created "2019-08-22" @default.
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- W2968052160 date "2007-05-07" @default.
- W2968052160 modified "2023-09-27" @default.
- W2968052160 title "Lattice Walks in a Weyl Chamber and Truncated Random Matrices" @default.
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