Invariant Measures and Long Time Behaviour of the Smoothing Process
Andjel, Enrique D.
Ann. Probab., Tome 13 (1985) no. 4, p. 62-71 / Harvested from Project Euclid
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The invariant measures with finite first moment of the smoothing process are characterized in terms of the harmonic functions. It is also shown that under some restriction on the initial configuration, the difference between the mass at a given site and the mean of the masses of its neighbours converges in probability to zero.
Publié le : 1985-02-14
Classification:  Smoothing process,  potlatch process,  duality,  invariant measures,  60k35 
@article{1176993066,
     author = {Andjel, Enrique D.},
     title = {Invariant Measures and Long Time Behaviour of the Smoothing Process},
     journal = {Ann. Probab.},
     volume = {13},
     number = {4},
     year = {1985},
     pages = { 62-71},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176993066}
}

Andjel, Enrique D. Invariant Measures and Long Time Behaviour of the Smoothing Process. Ann. Probab., Tome 13 (1985) no. 4, pp.  62-71. http://gdmltest.u-ga.fr/item/1176993066/