Rigidity of Furstenberg entropy for semisimple Lie group actions

By A. Nevo, R. Zimmer. 2000

46 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/dcbc747c5483966c3f095ff2d006ce436b2cb019

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

1. Lewis Bowen
2. A. Nevo
3. Michah Sageev
4. David Kerr
5. Hanfeng Li
6. Ben Hayes
7. Mark F. Hagen
8. Denis V. Osin

In Mathematical Physics

1. Lewis Bowen
2. A. Nevo
3. Michah Sageev
4. David Kerr
5. Hanfeng Li
6. Ben Hayes
7. Denis V. Osin
8. Mark F. Hagen

Citations in the corpus

• Random walks on random coset spaces with applications to Furstenberg entropy (2010, background): “One of the main results of [26] and [27] is that if G is a connected higher rank real semisimple Lie group with finite center and the action satisfies a certain mixing hypothesis, then this entropy can take on only a finite number of values corresponding with the actions of G on homogeneous spaces (”
• The Poisson boundary of CAT(0) cube complex groups (2011, background): “s -entropy is bounded by h (B;). Every proper factor of (B;) has strictly smaller -entropy, since otherwise the Poisson boundary would be a measure-preserving extension of this factor space (see [NZ1]). This is not possible, because every bounded function on (B;) is determined uniquely by its harmon”