The Collected Works of Anatole Katok

Svetlana Katok

The Pennsylvania State University, USA

Bassam Fayad

University of Maryland, College Park, USA

Giovanni Forni

University of Maryland, College Park, USA

Boris Hasselblat

Tufs University, USA

Key Features

Mariusz Lemańczyk

Nicolaus Copernicus University, Poland

Yakov Pesin

The Pennsylvania State University, USA

Federico Rodriguez Hertz

The Pennsylvania State University, USA

Ralf Spatzier

University of Michigan, USA

• he book presents and illuminates a large cross secton o d namics in the last hal centur b publishing the bod o work o a leading d namicist in a orm that is organi ed and discussed b leading e perts

• t includes works that are otherwise unpublished, di cult to obtain or translated into English or the frst tme

Descripton

These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok s work re ects hal a centur o research in mathematcs and includes ergodic theor , h perbolic, elliptc, and parabolic smooth d namics, as well as higher rank actons. Katok s papers cover an e tremel broad range o topics in d namics, and the contain man seminal contributons that had great impact on later developments and are now widel recogni ed as classical.

Katok also authored numerous historical and biographical papers, and these contain accounts o crucial developments rom the point o view o one o the main protagonists.

esides papers which have alread appeared in academic ournals, this collecton includes several previousl unpublished papers as well as some whose English translaton appears here or the frst tme.

hese collected works are organi ed b topic into si chapters, each eaturing an introducton wri en b respectve leading specialists. olume ocuses on the ollowing topics H perbolicit , Entrop , Geodesic lows, nterval E change rans ormatons, illiards, wist aps, Spectral heor , ppro imatons, Combinatorial Constructons, and Histor o namics. olume ocuses on these topics Cohomolog and Geometric igidit , and easure igidit .

Editors

Svetlana Katok is Pro essor o athematcs at the Penns lvania State Universit .

Bassam Fayad oins Universit o ar land (U ) as ichael and Eugenia rin Endowed Chair in athematcs.

Giovanni Forni is Pro essor o athematcs at the Universit o ar land.

Boris Hasselblat obtained his doctorate at Caltech under the guidance o natole Katok.

Mariusz Lemańczyk obtained his doctorate at icolaus Copernicus Universit ( CU) and his habilitaton at Warsaw Universit .

Yakov Pesin is istnguished Pro essor o athematcs at the Penns lvania State Universit .

Federico Rodriguez Hertz received his training in mathematcs rom P , ra il. He holds the natole Katok Chair Pro essorship at he Penns lvania State Universit .

Ralf Spatzier is Pro essor o athematcs at the Universit o ichigan, nn rbor.

January 2023

Imprint: World Scientfc Publishing Compan

Extent: 384pp

Type: eprint olume

Main Subject: athematcs

Sub-Subjects: namical S stems nd Ergodic heor athematcal Ph sics

Keywords: namical S stems namics Ergodic heor H perbolicit H perbolic namics

Parabolic namics Elliptc namics igidit Geometr Higher rank ctons illiards Pesin heor Histor iograph

Readership: Graduates and researchers in the felds o d namical s stems and ergodic theor

• Volume I: Hyperbolicity, Entropy, Geodesic Flows

Interval Exchange Transformatons, Billiards, Twist Maps Spectral Theory, Approximatons, Combinatorial Constructons History of Dynamics, Surveys, Unpublished Preprints