Criteria for the Existence of an Invariant Measure for Groups of Homeomorphisms of the Line
Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 335-339
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In [1] (1975), for finitely generated groups of homeomorphisms of the line (the circle), Plante obtained a criterion for the existence of an invariant measure. In the paper, we obtain a criterion for the existence of an invariant measure for groups of homeomorphisms of the line (the circle) such that every finitely generated subgroup of the group satisfies the Plante conditions.
Keywords:
invariant measure, group of homeomorphisms, finitely generated subgroup
Mots-clés : Plante conditions.
Mots-clés : Plante conditions.
@article{MZM_2014_95_3_a1,
author = {L. A. Beklaryan},
title = {Criteria for the {Existence} of an {Invariant} {Measure} for {Groups} of {Homeomorphisms} of the {Line}},
journal = {Matemati\v{c}eskie zametki},
pages = {335--339},
publisher = {mathdoc},
volume = {95},
number = {3},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a1/}
}
TY - JOUR AU - L. A. Beklaryan TI - Criteria for the Existence of an Invariant Measure for Groups of Homeomorphisms of the Line JO - Matematičeskie zametki PY - 2014 SP - 335 EP - 339 VL - 95 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a1/ LA - ru ID - MZM_2014_95_3_a1 ER -
L. A. Beklaryan. Criteria for the Existence of an Invariant Measure for Groups of Homeomorphisms of the Line. Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 335-339. http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a1/