Height of polynomials and entropy in algebraic dynamics
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
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, …
by Ward, Thomas, Everest, Graham
fromUniversitext
"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…