Let P be a stochastic matrix. We give a necessary and sufficient condition for the existence of the limt -> ∞ ppt from which follows the classical regularity conditions. Another regularity condition based in the Banach point fix theorem is also given.
@article{urn:eudml:doc:38897, title = {Unas notas sobre regularidad en matrices estoc\'asticas.}, journal = {Stochastica}, volume = {8}, year = {1984}, pages = {183-190}, zbl = {0574.15012}, mrnumber = {MR0783405}, language = {es}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38897} }
Santos, J. L. Unas notas sobre regularidad en matrices estocásticas.. Stochastica, Tome 8 (1984) pp. 183-190. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38897/