Dynamical entropy, quantum K-systems and clustering

1990 ◽  
pp. 286-295 ◽  
Author(s):  
Heide Narnhofer
Keyword(s):  
Dynamical Entropy

scholarly journals On the Relation between Topological Entropy and Restoration Entropy

Entropy ◽  
2018 ◽  
Vol 21 (1) ◽  
pp. 7 ◽  
Author(s):  
Christoph Kawan
Keyword(s):  
Dynamical Systems ◽  
State Estimation ◽  
Topological Entropy ◽  
Robust Estimation ◽  
Data Transmission ◽  
Communication Constraints ◽  
Dynamical Entropy

In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem that demonstrates that for most dynamical systems, restoration entropy strictly exceeds topological entropy. This implies that robust estimation policies in general require a higher rate of data transmission than non-robust ones. The proof of our theorem is quite short, but uses sophisticated tools from the theory of smooth dynamical systems.

scholarly journals Dynamical entropy of a non-commutative version of the phase doubling

1998 ◽  
Vol 43 (1) ◽  
pp. 31-40
Author(s):  
Johan Andries ◽  
Mieke De Cock
Keyword(s):  
Dynamical Entropy

The dynamical entropy of the quantum Arnold cat map

1995 ◽  
Vol 35 (4) ◽  
pp. 375-383 ◽  
Author(s):  
J. Andries ◽  
M. Fannes ◽  
P. Tuyls ◽  
R. Alicki
Keyword(s):  
Arnold Cat Map ◽  
Dynamical Entropy

Classical Dynamical Entropy

2001 ◽  
pp. 213-224
Author(s):  
Robert Alicki ◽  
Mark Fannes
Keyword(s):  
Dynamical Entropy

Dynamical Entropy in Operator Algebras

2006 ◽  
Author(s):  
Sergey Neshveyev ◽  
Erling Størmer
Keyword(s):  
Operator Algebras ◽  
Dynamical Entropy

scholarly journals On the nonlinearity of quantum dynamical entropy

2019 ◽  
Vol 60 (5) ◽  
pp. 053504
Author(s):  
George Androulakis ◽  
Duncan Wright
Keyword(s):  
Quantum Dynamical ◽  
Dynamical Entropy
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