Geodesic
The measure preserving transformations of the jump Lévy process
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 15, Tome 368 (2009), pp. 130-140 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\xi(t)$, $t\in[0,1]$, be a jump Lévy process. By $\mathcal P_\xi$ we denote the law of $\xi$ in the Skorokhod space $\mathbb D[0,1]$. Under some nondegeneracy condition on the Lévy measure $\Lambda$ of the process we construct a group of a $\mathcal P_\xi$-preserving transformations of the space $\mathbb D[0,1]$. Bibl. – 10 titles. 
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S. S. Gribkova. The measure preserving transformations of the jump Lévy process. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 15, Tome 368 (2009), pp. 130-140. http://geodesic.mathdoc.fr/item/ZNSL_2009_368_a9/

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