Poisson-Furstenberg Boundaries, Large-scale Geometry and Growth of Groups
By A. Erschler. 2011
47 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e1820cca7d65fd55b45cc676e8d4594add4aa2d4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Yuval Peres
- Russell Lyons
- Rostislav I. Grigorchuk
- Pablo Shmerkin
- Volodymyr V. Nekrashevych
- Miklós Abért
- B'alint Vir'ag
- Manjunath Krishnapur
In Mathematical Physics
- Russell Lyons
- Yuval Peres
- Rostislav I. Grigorchuk
- Alexei Borodin
- Pablo Shmerkin
- Charles Bordenave
- Yaroslav Vorobets
- Pietro Caputo
Citations in the corpus
- Milnor's Problem on the Growth of Groups and its Consequences (2011, methodology): “Erschler [77], which we recommend to the reader, contains important material related to the subject of random walks and growth.”
- Probability on Trees and Networks (2017, background): “◀ The next result we present was conjectured by Vershik and Kaimanovich (1979, 1983); it was proved by Erschler (2011, 2010) for d ≥ 5 and by Lyons and Peres (2015b) for d = 3, 4.”
- GROUP ACTIONS ON 1-MANIFOLDS: A LIST OF VERY CONCRETE OPEN QUESTIONS (2017, unknown): “other space of this type is a measurable factor of it [47]. The study of this Poisson-Furstenberg boundary is one of the main topics in this area, and explicit computations are, in general, very hard [41]. In our framework, a valuable result in this direction was obtained by Deroin, who proved in [3”