On weak lumpability of denumerable Markov chains
Ledoux, James
HAL, hal-00852300 / Harvested from HAL
Text on HAL
We consider weak lumpability of denumerable Markov chains evolving in discrete or continuous time. Specifically, we study the properties of the set of all initial distributions of the starting chain leading to an aggregated homogeneous Markov chain with respect to a partition of the state space.
Publié le : 1995-07-05
Classification:  Weak Lumpability,  Positive recurrence,  $R$-positivity,  Quasi-stationary distribution,  Uniform semi-group,  AMS 60J10; 60J05,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00852300,
     author = {Ledoux, James},
     title = {On weak lumpability of denumerable Markov chains},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00852300}
}

Ledoux, James. On weak lumpability of denumerable Markov chains. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00852300/