Invariant measures for non-contracting multi-valued mappings of the circle
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2010), pp. 43-46
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A problem of existence of an absolutely continuous invariant measure for contracting multivalued mappings of a circle is considered. It is shown that the existence of finite or infinite invariant measures depends on the differentiability class of the multivalued mapping.
@article{VMUMM_2010_3_a9,
author = {A. N. Gorbachev},
title = {Invariant measures for non-contracting multi-valued mappings of the circle},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {43--46},
year = {2010},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a9/}
}
A. N. Gorbachev. Invariant measures for non-contracting multi-valued mappings of the circle. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2010), pp. 43-46. http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a9/