Items related to One-Dimensional Dynamics: From Poincaré to renormalization:...

One-Dimensional Dynamics: From Poincaré to renormalization: 30 (Lecture Notes of the Unione Matematica Italiana, 30) - Softcover

Dong, Yiheng; Martens, Marco; Palmisano, Liviana

 
9783031948817: One-Dimensional Dynamics: From Poincaré to renormalization: 30 (Lecture Notes of the Unione Matematica Italiana, 30)

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.