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  1. Proceedings of the Steklov Institute of Mathematics
  2. Proceedings of the Steklov Institute of Mathematics : Volume 292
  3. Proceedings of the Steklov Institute of Mathematics : Volume 292, Issue 1, January 2016
  4. Ergodic decomposition of group actions on rooted trees
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Proceedings of the Steklov Institute of Mathematics : Volume 296
Proceedings of the Steklov Institute of Mathematics : Volume 295
Proceedings of the Steklov Institute of Mathematics : Volume 294
Proceedings of the Steklov Institute of Mathematics : Volume 293
Proceedings of the Steklov Institute of Mathematics : Volume 292
Proceedings of the Steklov Institute of Mathematics : Volume 292, Issue 2, Supplement,April 2016
Proceedings of the Steklov Institute of Mathematics : Volume 292, Issue 1, Supplement,April 2016
Proceedings of the Steklov Institute of Mathematics : Volume 292, Issue 1, January 2016
Local nilpotency of the McCrimmon radical of a Jordan system
Examples of algebraic groups of type G $_{2}$ having the same maximal tori
Representation and character varieties of the Baumslag-Solitar groups
Coefficient rings of Tate formal groups determining Krichever genera
On the size of the genus of a division algebra
Ergodic decomposition of group actions on rooted trees
Conjugacy classes of derangements in finite transitive groups
Random methods in 3-manifold theory
Frattini and related subgroups of mapping class groups
On Catalan’S constant
On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic
Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields
Algebras of general type: Rational parametrization and normal forms
On the congruence kernel for simple algebraic groups
On representation varieties of free abelian groups
Division algebras of prime degree with infinite genus
Properly discontinuous group actions on affine homogeneous spaces
Proceedings of the Steklov Institute of Mathematics : Volume 291
Proceedings of the Steklov Institute of Mathematics : Volume 290
Proceedings of the Steklov Institute of Mathematics : Volume 289
Proceedings of the Steklov Institute of Mathematics : Volume 288
Proceedings of the Steklov Institute of Mathematics : Volume 287
Proceedings of the Steklov Institute of Mathematics : Volume 286
Proceedings of the Steklov Institute of Mathematics : Volume 285
Proceedings of the Steklov Institute of Mathematics : Volume 284
Proceedings of the Steklov Institute of Mathematics : Volume 283
Proceedings of the Steklov Institute of Mathematics : Volume 282
Proceedings of the Steklov Institute of Mathematics : Volume 281
Proceedings of the Steklov Institute of Mathematics : Volume 280
Proceedings of the Steklov Institute of Mathematics : Volume 279
Proceedings of the Steklov Institute of Mathematics : Volume 278
Proceedings of the Steklov Institute of Mathematics : Volume 277
Proceedings of the Steklov Institute of Mathematics : Volume 276
Proceedings of the Steklov Institute of Mathematics : Volume 275
Proceedings of the Steklov Institute of Mathematics : Volume 274
Proceedings of the Steklov Institute of Mathematics : Volume 273
Proceedings of the Steklov Institute of Mathematics : Volume 272
Proceedings of the Steklov Institute of Mathematics : Volume 271
Proceedings of the Steklov Institute of Mathematics : Volume 270
Proceedings of the Steklov Institute of Mathematics : Volume 269
Proceedings of the Steklov Institute of Mathematics : Volume 268
Proceedings of the Steklov Institute of Mathematics : Volume 267
Proceedings of the Steklov Institute of Mathematics : Volume 266
Proceedings of the Steklov Institute of Mathematics : Volume 265
Proceedings of the Steklov Institute of Mathematics : Volume 264
Proceedings of the Steklov Institute of Mathematics : Volume 263
Proceedings of the Steklov Institute of Mathematics : Volume 262
Proceedings of the Steklov Institute of Mathematics : Volume 261
Proceedings of the Steklov Institute of Mathematics : Volume 260
Proceedings of the Steklov Institute of Mathematics : Volume 259
Proceedings of the Steklov Institute of Mathematics : Volume 258
Proceedings of the Steklov Institute of Mathematics : Volume 257
Proceedings of the Steklov Institute of Mathematics : Volume 256
Proceedings of the Steklov Institute of Mathematics : Volume 255
Proceedings of the Steklov Institute of Mathematics : Volume 254
Proceedings of the Steklov Institute of Mathematics : Volume 253
Proceedings of the Steklov Institute of Mathematics : Volume 252

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Ergodic decomposition of group actions on rooted trees

Content Provider Springer Nature Link
Author Grigorchuk, Rostislav Savchuk, Dmytro
Copyright Year 2016
Abstract We prove a general result about the decomposition into ergodic components of group actions on boundaries of spherically homogeneous rooted trees. Namely, we identify the space of ergodic components with the boundary of the orbit tree associated with the action, and show that the canonical system of ergodic invariant probability measures coincides with the system of uniform measures on the boundaries of minimal invariant subtrees of the tree. Special attention is paid to the case of groups generated by finite automata. Few examples, including the lamplighter group, Sushchansky group, and so-called universal group, are considered in order to demonstrate applications of the theorem.
Starting Page 94
Ending Page 111
Page Count 18
File Format PDF
ISSN 00815438
Journal Proceedings of the Steklov Institute of Mathematics
Volume Number 292
Issue Number 1
e-ISSN 15318605
Language English
Publisher Pleiades Publishing
Publisher Date 2016-05-14
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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