Published February 2008
| Published
Journal Article
Open
Loop-free Markov chains as determinantal point processes
- Creators
- Borodin, Alexei
Abstract
We show that any loop-free Markov chain on a discrete space can be viewed as a determinantal point process. As an application, we prove central limit theorems for the number of particles in a window for renewal processes and Markov renewal processes with Bernoulli noise.
Additional Information
© Association des Publications de l'Institut Henri Poincaré, 2008. Received 1 June 2006; accepted 25 September 2006. This research was partially supported by the NSF grant DMS-0402047 and the CRDF grant RIM1-2622-ST-04. The author would also like to thank the referees for a number of valuable suggestions.Attached Files
Published - euclid.aihp.1203969866.pdf
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euclid.aihp.1203969866.pdf
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Additional details
- Eprint ID
- 88708
- Resolver ID
- CaltechAUTHORS:20180809-133557869
- DMS-0402047
- NSF
- RIM1-2622-ST-04
- CRDF
- Created
-
2018-08-09Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field