This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dy…
This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dy…
Dynamical systems (1953-2000)
by Milnor, John W, Bonifant, Araceli
fromCollected papers of John Milnor
"This book, the sixth in the series "Collected Papers of John Milnor", contains all of Milnor's work on Real and Complex Dynamics from 1953 to 1999, plus one paper from 2000. These papers provide important and fundamental material in real and complex dynamical systems. Many of t…
Introduction Preliminaries Some useful properties of the induced matrix of a maximodal permutation The family of orbit types Some easy lemmas Two inductive lemmas The remaining case References.
This paper shows that entropy is a completer metric similarity invariant for the continuous ergodic group automorphisms of the two-dimensional torus.
In this paper we extend the notion of a continuous bundle random dynamical system to the setting where the action of RR or NN is replaced by the action of an infinite countable discrete amenable group. Given such a system, and a monotone sub-additive invariant family of random c…
