Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2010), pp. 43-46
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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/
@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/}
}
TY - JOUR
AU - A. N. Gorbachev
TI - Invariant measures for non-contracting multi-valued mappings of the circle
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2010
SP - 43
EP - 46
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a9/
LA - ru
ID - VMUMM_2010_3_a9
ER -
%0 Journal Article
%A A. N. Gorbachev
%T Invariant measures for non-contracting multi-valued mappings of the circle
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2010
%P 43-46
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a9/
%G ru
%F VMUMM_2010_3_a9
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.
