Rational Surface Automorphisms with Positive Entropy

By Takato Uehara. 2010

49 citations recorded by the source corpus.

The aim of this paper is to construct many examples of rational surface automorphisms with positive entropy by means of the concept of orbit data. We show that if an orbit data satisfies some mild conditions, then there exists an automorphism realizing the orbit data. Applying this result, we describe the set of entropy values of the rational surface automorphisms in terms of Weyl groups.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f3c6216056fcbc34cf63c25522a01fa48913d223

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. N. Sibony
2. T. Dinh
3. De-Qi Zhang
4. Tuyen T. T. Truong
5. Franccois Berteloot
6. Romain Dujardin
7. Nguyen-Bac Dang
8. Vincent Guedj

In Mathematical Physics

1. T. Dinh
2. N. Sibony
3. Nguyen-Bac Dang
4. De-Qi Zhang
5. Franccois Berteloot
6. Tuyen T. T. Truong
7. Romain Dujardin
8. Vincent Guedj

Citations in the corpus

• Rigidity of Julia sets for Henon type maps (2013, background): “Several examples of classes of such automorphisms can be found in [3, 10, 24, 48, 52, 55].”