Overview

A large international conference celebrated the 50-year career of Anatole Katok and the body of research across smooth dynamics and ergodic theory that he touched. In this book many leading experts provide an account of the latest developments at the research frontier and together set an agenda for future work, including an explicit problem list. This includes elliptic, parabolic, and hyperbolic smooth dynamics, ergodic theory, smooth ergodic theory, and actions of higher-rank groups. The chapters are written in a readable style and give a broad view of each topic; they blend the most current results with the developments leading up to them, and give a perspective on future work. This book is ideal for graduate students, instructors and researchers across all research areas in dynamical systems and related subjects.

Full Product Details

9781009278904

Table of Contents

Reviews

Author Information

Danijela Damjanovic is an Associate Professor at the Royal Institute of Technology (KTH), Sweden. She received her PhD in mathematics from Pennsylvania State University, USA in 2004. Her research is in the area of dynamics of smooth group actions. She serves on the editorial board of Journal of Modern Dynamics. Boris Hasselblatt is a professor at Tufts University, USA. He received his PhD from California Institute of Technology in 1989. He is a co-author of several books in the field of smooth dynamical systems, notably Introduction to the Modern Theory of Dynamical Systems. He is also (co-)editor of several large volumes, Handbook of Dynamical Systems, 1A and 1B, and The Collected Works of Anatole Katok, Volumes 1 and 2. He is Fellow and the Secretary of the American Mathematical Society. Andrey Gogolev is a Professor of Mathematics at The Ohio State University, USA. He received his PhD from Pennsylvania State University in 2009. His primary research interest is smooth dynamics with hyperbolic behavior. He serves on the editorial board of Journal of Modern Dynamics. Yakov Pesin is Distinguished Professor of Mathematics at Pennsylvania State University, USA. He is director of the Anatole Katok Center for Dynamical Systems and Geometry, a member of the American Academy of Arts and Sciences, a member of the European Academy (Academia Europea), a fellow of the American Mathematical Society, and an editor of the journal Ergodic Theory and Dynamical Systems. He received his PhD in mathematics from Gorky State University in 1979. He has (co)authored six books covering smooth dynamics, ergodic theory, dimension theory, and fractal geometry, and a dozen surveys on these topics.

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available