Geodesic
Linear rescaling of the stochastic process
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 277-289.

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Discussion on the limits in distribution of processes $Y$ under joint rescaling of space and time is presented in this paper. The results due to Lamperti (1962), Weissman (1975), Hudson Mason (1982) and Laha Rohatgi (1982) are improved here.
Classification : 60F05, 60G10, 60G18, 60G99, 62E10, 62E20
Keywords: self-similar processes; convergence in distribution 
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Lachout, Petr. Linear rescaling of the stochastic process. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 277-289. http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a7/