A local variational principle for the topological entropy

By Pierre Paul Romagnoli. Ergodic Theory and Dynamical Systems, 2003

64 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Vision and Pattern Recognition, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ea17390a9f0f469baafb6c485c022fb729cf22d0

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

1. Xiangdong Ye
2. Wen Huang
3. Eli Glasner
4. Guohua Zhang
5. Y. Yi
6. A. Dooley
7. Hanfeng Li
8. Michael Hochman

In Computer Vision and Pattern Recognition

1. Xiangdong Ye
2. Wen Huang
3. Y. Yi
4. A. Dooley
5. Eli Glasner
6. Guohua Zhang

In Mathematical Physics

1. Xiangdong Ye
2. Wen Huang
3. Guohua Zhang
4. Eli Glasner
5. A. Dooley
6. Y. Yi
7. Jian Li
8. Hanfeng Li

Citations in the corpus

• A local variational principle of pressure and its applications to equilibrium states (2007, background): “(4) Hµ(T 1U) HTµ(U), and, the equality holds when (X,T) is invertible. Proof. See [ 23 ], Lemma 8.”
• Local entropy theory for a countable discrete amenable group action (2010, methodology): “Following Romagnoli’s ideas [40], we define a new notion that extends definition (3.1) to covers.”
• Local Entropy Theory of a Random Dynamical System (2011, background): “Our discussion follows the ideas of [38, 63, 74].”
• Entropy points and applications (2007, methodology): “To study the relation of entropy tuples in both settings, a local variational inequality [4], a local variational relation [15] and finally local variational principles [20], [14] which refine the classical variational principle were found.”
• Local entropy theory (2009, background): “In [88] Romagnoli introduced two kinds of measure-theoretical entropy for covers, namely”