On random walks in large compact lie groups

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Abstract

Let G be the group SO(d) or SU(d) with d large. How long does it take for a random walk on G to approximate uniform measure? It is shown that in certain natural examples an ε-approximation is achieved in time (d log 1/ε)C.

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Bourgain, J. (2017). On random walks in large compact lie groups. In Lecture Notes in Mathematics (Vol. 2169, pp. 55–63). Springer Verlag. https://doi.org/10.1007/978-3-319-45282-1_4

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