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|Title:||Lifting Markov chains to random walks on groups|
|Authors:||Chan, O. |
|Source:||Chan, O., Lam, T.K. (2005-05). Lifting Markov chains to random walks on groups. Combinatorics Probability and Computing 14 (3) : 269-273. ScholarBank@NUS Repository. https://doi.org/10.1017/S0963548304006352|
|Abstract:||The determination of a Markov chain which can be lifted to a random walk on an abelian group or a group whose probability measure is a class function, is described. The analysis is facilitated whenever the probability measure on the group is a class function. A special case is that of an abelian group where any probability measure is a class function. The results show that the Fourier analysis using group representations simplifies to computations involving the irreducible characters of the group.|
|Source Title:||Combinatorics Probability and Computing|
|Appears in Collections:||Staff Publications|
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