The topological Rohlin property and topological entropy
By Eli Glasner, Barak Weiss. 2001
64 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/33fd1c24ef06404de42c509043b7c207a125a1ba
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Eli Glasner
- Hanfeng Li
- David Kerr
- Michael Hochman
- Alexander S. Kechris
- Xiangdong Ye
- Christian Rosendal
- Barak Weiss
In Geometry and Topology
- Hanfeng Li
- Eli Glasner
- David Kerr
- Christian Rosendal
- Xiangdong Ye
- Michael Hochman
- Nilson C. Bernardes
- Udayan B. Darji
In Mathematical Physics
- Hanfeng Li
- Eli Glasner
- David Kerr
- Xiangdong Ye
- Alexander S. Kechris
- Christian Rosendal
- Michael Hochman
- Nilson C. Bernardes
Citations in the corpus
- Graph theoretic structure of maps of the Cantor space (2012, background): “In [15] Glasner and Weiss showed that a comeager subset of H({0, 1}) has topological entropy zero.”
- Generically there is but one self homeomorphism of the Cantor set (2006, methodology): “A topological group G is called Rohlin if there is an element g 2 G whose conjugacy class is dense in G. In [ GW ] it was shown that the Polish group H(X) of homeomorphisms of the Cantor set X is Rohlin.”
- Genericity in topological dynamics (2006, methodology): “Later Weiss showed in [25] that every ergodic system (Y, B, µ, T ) with zero entropy has a realization as an invariant measure on a topological system with minimal self-joinings.”
- Dynamical entropy in Banach spaces (2004, methodology): “In the last three sections we apply a combinatorial argument (Lemma 9.1) to compute the CA entropy for some canonical examples.”
- Turbulence, amalgamation, and generic automorphisms of homogeneous structures (2004, background): “Glasner and Weiss informed us that they have found a different proof of the existence of generics for these groups which also yields a characterization.”