Geodesic
Universal Groups of Intermediate Growth and Their Invariant Random Subgroups
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 1-21

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We exhibit examples of groups of intermediate growth with $2^{\aleph_0}$ ergodic continuous invariant random subgroups. The examples are the universal groups associated with a family of groups of intermediate growth.
Keywords: invariant random subgroup, group of intermediate growth, space of marked groups. 
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     author = {M. G. Benli and R. I. Grigorchuk and T. V. Nagnibeda},
     title = {Universal {Groups} of {Intermediate} {Growth} and {Their} {Invariant} {Random} {Subgroups}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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M. G. Benli; R. I. Grigorchuk; T. V. Nagnibeda. Universal Groups of Intermediate Growth and Their Invariant Random Subgroups. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 1-21. http://geodesic.mathdoc.fr/item/FAA_2015_49_3_a0/