Lecture Notes of the Unione Matematica Italiana: From Poincaré to renormalization

Dong, Yiheng; Martens, Marco; Palmisano, Liviana

The aim of the book is to give an introduction to the main concepts in modern dynamics. The Herman Theorem on rigidity of circle diffeomoprhisms is used to achieve this goal. Indeed, we reprove this sophisticated theorem with modern techniques involving renormalization and, in the meantime, discuss most of the important concepts used in dynamics. The one-dimensional context of the Herman Theorem reduces the technical difficulties and allows to present tools and theories to students with modest background. The book can definitely be used on Master's level.

Details

Published by: Springer

Publication Date: 2025-09-01

Format: Paperback

ISBN-13: 9783031948817

DOI: 10.1007/978-3-031-94882-4

Dimensions: 235cm x155cm

Pages: 181