ON THE WORD AND PERIOD GROWTH OF SOME GROUPS OF TREE AUTOMORPHISMS
By Laurent Bartholdi, Zoran S˘unik´. 2000
68 citations recorded by the source corpus.
We generalize a class of groups defined by Rostislav Grigorchuk in [Gri84] to a much larger class of groups, and provide upper and lower bounds for their word growth (they are all of intermediate growth) and period growth.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bdcc5b7a51ade066c2d15c52b47b89c4318a7322
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In Computational Theory and Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Hausdorff dimension in a family of self-similar groups (2006, methodology): “There have been some generalizations, such as those in [11, 12] as well as the so called spinal groups in [6, 5].”