Lumping in Markov set-chains
โ Scribed by D.J. Hartfiel
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 217 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0304-4149
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Forming lumped states in a Markov chain is a very useful device leading to a coarser level of description. The Markov chain on these lumped states is often taken as an approximation for the time evolution of the unlumped chain. In the present work we derive a bound on the error in this approximation
Random independent sets in graphs arise, for example, in statistical physics, in the hardcore model of a gas. In 1997, Luby and Vigoda described a rapidly mixing Markov chain for independent sets, which we refer to as the LubyแVigoda chain. A new rapidly mixing Markov chain for independent sets is d