This book presents the fundamentals of ergodic theory as well as selected advanced topics.
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Heights of polynomials and entropy in algebraic dynamics
by Ward, Thomas, Everest, Graham
fromUniversitext
0
Type: Book
The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a paper by Lehmer is looked at, …
Heights of polynomials and entropy in algebraic dynamics
by Ward, Thomas, Everest, Graham
fromUniversitext
0
Type: Book
"This book covers an exciting interplay between arithmetic and dynamical systems. The fulcrum is a natural measure of height of a polynomial, known as Mahler's measure. In dynamical systems, this same measure arises as the entropy - a measure of orbit complexity - of a map assoc…