J. Aaronson, An introduction to infinite ergodic theory
DOI : 10.1090/surv/050

S. Brofferio, How a centred random walk on the affine group goes to infinity, Ann. I.H.P, vol.39, issue.3, pp.371-384, 2003.

L. Elie, Comportement asymptotique du noyau potentiel sur les groupes de Lie, Ann. E.N.S, vol.4, issue.152, pp.257-364, 1982.

W. Feller, An introduction to Probability Theory and Its Applications, 1970.

Y. Guivarc-'h, M. Keane, and B. Roynette, Marches aléatoires sur les groupes de Lie, Lectures Notes in Mathematics, vol.624

E. Lepage and M. Peigné, A local limit theorem on the semi-direct product of R * + et R d, Ann. IHP, vol.33, issue.2, pp.223-252, 1997.

M. Lin, Conservative markov processes on a topological space, Israel Journal of Mathematics, vol.67, issue.2, pp.165-170, 1970.
DOI : 10.1007/BF02771312

K. Petersen, Ergodic theory, Cambridge studies in avances math, 1983.