Recurrence for Products of Renewal Sequences
Letac, Gerard
Ann. Probab., Tome 5 (1977) no. 6, p. 591-594 / Harvested from Project Euclid
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If $(u_n)^\infty_{n=0}$ is a null-recurrent renewal sequence, we prove that there exist two null-recurrent renewal sequences $(\nu_n)^\infty_{n=0}$ and $(w_n)^\infty_{n=0}$ such that $(u_n\nu_n)^\infty_{n=0}$ is null-recurrent and $(u_n w_n)^\infty_{n=0}$ is transient.
Publié le : 1977-08-14
Classification:  Renewal sequences,  60K05 
@article{1176995768,
     author = {Letac, Gerard},
     title = {Recurrence for Products of Renewal Sequences},
     journal = {Ann. Probab.},
     volume = {5},
     number = {6},
     year = {1977},
     pages = { 591-594},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995768}
}

Letac, Gerard. Recurrence for Products of Renewal Sequences. Ann. Probab., Tome 5 (1977) no. 6, pp.  591-594. http://gdmltest.u-ga.fr/item/1176995768/