Hahn polynomials and the Burnside process
2020
We study a natural Markov chain on $\{0,1,\cdots,n\}$ with eigenvectors the Hahn polynomials. This explicit diagonalization makes it possible to get sharp rates of convergence to stationarity. The process, the Burnside process, is a special case of the celebrated `Swendsen-Wang' or `data augmentation' algorithm. The description involves the beta-binomial distribution and Mallows model on permutations. It introduces a useful generalization of the Burnside process.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
37
References
0
Citations
NaN
KQI