1.

Record Nr.

UNINA9910157587403321

Autore

Chenery Marisa

Titolo

Annexation

Pubbl/distr/stampa

Blue Swan Publishing

ISBN

1-62210-398-X

Descrizione fisica

1 online resource (210 p.)

Soggetti

Human-alien encounters

Science fiction

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

Previously published (2016) Forever More Publishing. Kiri has had the same dream for four years since she was twelve. She travels to another planet, where she meets a boy who teaches her to fight. Always bruised come morning, she knows it's no ordinary dream.  After two years of no longer dreaming of Cax, she questions if she hadn't made him up. Then spaceships appear all over the world, and the boy she once knew is among the alien invaders.  Orphaned and alone, Kiri uses the skills Cax had given her against his own people, wishing to hurt them as they'd hurt her. The flames of rebellion are fanned ever higher, and Kiri has a role to play that could cost her everything.



2.

Record Nr.

UNINA9910897980103321

Autore

Faria Edson de

Titolo

Dynamics of Circle Mappings / / by Edson de Faria, Pablo Guarino

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024

ISBN

3-031-67495-2

Edizione

[2nd ed. 2024.]

Descrizione fisica

1 online resource (462 pages)

Collana

IMPA Monographs

Altri autori (Persone)

GuarinoPablo

Disciplina

515.39

Soggetti

Dynamics

Dynamical Systems

Dinàmica

Espais de Teichmüller

Funcions holomorfes

Funcions de variables complexes

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Preface -- Part I - Basic Theory: 1 Rotations -- 2 Homeomorphisms of the Circle -- Part II - Diffeomorphisms: 3 Diffeomorphisms: Denjoy Theory -- 4 Smooth Conjugacies to Rotations -- Part III - Multicritical Circle Maps -- 5 Cross-ratios and Distortion Tools -- 6 Topological Classification and the Real Bounds -- 7 Quasisymmetric Rigidity -- 8 Ergodic Aspects -- 9 Orbit Flexibility -- Part IV - Renormalization Theory: 10 Smooth Rigidity and Renormalization. -- 11 Quasiconformal Deformations -- 12 Lipschitz Estimates for Renormalization -- 13 Exponential Convergence: the Smooth Case -- 14 Renormalization: Holomorphic Methods -- Epilogue -- Appendices -- Bibliography.

Sommario/riassunto

This book explores recent developments in the dynamics of invertible circle maps, a rich and captivating topic in one-dimensional dynamics. It focuses on two main classes of invertible dynamical systems on the circle: global diffeomorphisms and smooth homeomorphisms with critical points. The latter is the book's core, reflecting the authors' recent research interests. Organized into four parts and 14 chapters, the content covers rigid rotations, circle homeomorphisms, and the concept of rotation number in the first part. The second part delves



into circle diffeomorphisms, presenting classical results. The third part introduces multicritical circle maps—smooth homeomorphisms of the circle with a finite number of critical points. The fourth and final part centers on renormalization theory, analyzing the fine geometric structure of orbits of multicritical circle maps. Complete proofs for several fundamental results in circle dynamics are provided throughout. The book concludes with a list of open questions. Primarily intended for graduate students and young researchers in dynamical systems, this book is also suitable for mathematicians from other fields with an interest in the subject. Prerequisites include familiarity with the content of a standard graduate course in real analysis, along with some understanding of ergodic theory and dynamical systems. Basic knowledge of complex analysis is needed for specific chapters.