Geodesic
The growth of the Lie algebra generated by two generic vector fields on the line
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 15-20

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The paper deals with a Lie algebra generated by two generic vector fields on a straight line. It is proved that this algebra has an intermediate growth (between a polynomial and an exponential growth). A hypothetical explicit formula is given for dimensions of homogeneous components. 
@article{VMUMM_1983_4_a3,
     author = {A. A. Kirillov and M. L. Kontsevich},
     title = {The growth of the {Lie} algebra generated by two generic vector fields on the line},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {15--20},
     publisher = {mathdoc},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a3/}
}
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A. A. Kirillov; M. L. Kontsevich. The growth of the Lie algebra generated by two generic vector fields on the line. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 15-20. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a3/