Name
Abstract | ||
|---|---|---|
We define a finite Markov chain, called generalized crested product, which naturally appears as a generalization of the first crested product of Markov chains. A complete spectral analysis is developed and the k-step transition probability is given. It is important to remark that this Markov chain describes a more general version of the classical Ehrenfest diffusion model. As a particular case, one gets a generalization of the classical Insect Markov chain defined on the ultrametric space. Finally, an interpretation in terms of representation group theory is given, by showing the correspondence between the spectral decomposition of the generalized crested product and the Gelfand pairs associated with the generalized wreath product of permutation groups. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.ejc.2010.09.007 | Eur. J. Comb. |
Keywords | Field | DocType |
spectral decomposition,classical ehrenfest diffusion model,crested product,gelfand pair,generalized crested product,finite markov chain,classical insect markov chain,generalized wreath product,markov chain,complete spectral analysis,permutation group,transition probability,group theory,diffusion model,wreath product | Discrete mathematics,Combinatorics,Markov chain mixing time,Continuous-time Markov chain,Markov property,Markov chain,Balance equation,Markov kernel,Absorbing Markov chain,Mathematics,Examples of Markov chains | Journal |
Volume | Issue | ISSN |
32 | 2 | European J. Combin. 32, Issue 2 (2011), 243-257 |
Citations | PageRank | References |
2 | 0.51 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniele D'Angeli | 1 | 29 | 7.01 |
| Alfredo Donno | 2 | 27 | 8.03 |