Affiliation:
1. Laboratoire de Physique Théorique et des Hautes Energies, UMR 7589 Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, Boîte 126, 4 Place Jussieu, 75252 Paris Cedex 05, France
Abstract
We give the definition of algebraic entropy, which is a global index of complexity for dynamical systems with a rational evolution. We explain its geometrical meaning, and different methods, heuristic or exact to calculate this entropy. This quantity is a very good integrability detector. It also has remarkable properties, which make it an interesting object of study by itself. It is in particular conjectured to be the logarithm of algebraic integer, with a limited range of values, still to be explored.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Physics and Astronomy (miscellaneous)
Cited by
13 articles.
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