Ergodic Theory

·
· Springer Nature
Ebook
672
Pages
Ratings and reviews aren’t verified  Learn More

About this ebook

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras

About the author

Cesar E. Silva is the Hagey Family Professor of Mathematics at Williams College, where he has taught since 1984, and was chair of the department in 2008-2009 and 2010-2012. He received his PhD from the University of Rochester under the supervision of Dorothy Maharam, and his BS from the Pontificia Universidad Catolica in Peru. He has held visiting positions at a number of universities including Maryland and Toronto. In 2015, Silva was elected a Fellow of the American Mathematical Society. Silva’s research interests are in ergodic theory and dynamical systems, in particular the dynamics of nonsingular and infinite measure-preserving transformations, rank-one transformations, and p-adic dynamics. Silva is the author of Invitation to Ergodic Theory and Invitation to Real Analysis, both published by the American Mathematical Society, and is co-editor of two volumes of conference proceedings, published in the AMS Contemporary Mathematics series. He was associate editor of AMS Notices and is the author or co-author of over 50 research articles in the general area of ergodic theory.


Dr. Alexandre I. Danilenko is currently a leading research fellow at B. Verkin Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine. He is an expert in ergodic theory and dynamical systems. Dr. Danilenko conducts research in spectral theory, orbit theory, entropy theory, theory of joinings, nonsingular dynamics, topological dynamics, etc. During his career, he has authored or co-authored more than 60 research papers published in internationally recognized mathematical journals. Alexandre I. Danilenko received his C.Sc. degree in mathematics at Kharkiv State University in 1991 under the supervision of V. Ya. Golodets. More than 10 years he was employed as Assistant Professor and Associate Professor at V. Karazin Kharkiv National University (Ukraine). He habilitated at N. Copernicus University in Torun (Poland) in 2003. Since 2002 he has been working at B. Verkin Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine.

Rate this ebook

Tell us what you think.

Reading information

Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.