ALGEBRAIC ENTROPY FOR ABELIAN GROUPS

By Dikran Dikranjan, B. Goldsmith, L. Salce, P. Zanardo. 2009

96 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f4d8ec93bf074abf28259fbe38ccd07bed07ab56

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Dikran Dikranjan
2. Joseph H. Silverman
3. Franccois Berteloot
4. Shu Kawaguchi
5. Mikhail Tkachenko

In Geometry and Topology

1. Dikran Dikranjan
2. Joseph H. Silverman
3. Franccois Berteloot
4. Shu Kawaguchi
5. Rafe Jones
6. Mikhail Tkachenko

In Mathematical Physics

1. Dikran Dikranjan
2. Joseph H. Silverman
3. Franccois Berteloot
4. Shu Kawaguchi
5. Rafe Jones

Citations in the corpus

• New and old facts about entropy in uniform spaces and topological groups (2012, background): “If we restrict hA(−) to the subcategory TA of DA, condition (DA5) can be ignored and the axiom (DA1)–(DA4) suffice to guarantee uniqueness (see [16], where also the logarithmic law is given as a fifth axiom, but one can prove as in [40, Proposition 2.”
• Dynamical Degrees, Arithmetic Degrees, and Canonical Heights for Dominant Rational Self-Maps of Projective Space (2011, background): “tropy. There is another notion of algebraic entropy defined for self-maps of topological groups with various additional structures, e.g., for locally compact abelian groups. See for example the papers [2, 30, 21, 49, 48, 60]. In particular, the paper [30] shows that the algebraic entropy of an endomo”