Download The ergodic theory of lattice subgroups PDF Free - Full Version
Download The ergodic theory of lattice subgroups by Alexander Gorodnik, Amos Nevo in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!
About The ergodic theory of lattice subgroups
The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle. Here, Alexander Gorodnik and Amos Nevo develop a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. Simple general conditions on the spectral theory of the group and the regularity of the averaging sets are formulated, which suffice to guarantee convergence to the ergodic mean. In particular, this approach gives a complete solution to the problem of establishing mean and pointwise ergodic theorems for the natural averages on semisimple algebraic groups and on their discrete lattice subgroups. Furthermore, an explicit quantitative rate of convergence to the ergodic mean is established in many cases.The topic of this volume lies at the intersection of several mathematical fields of fundamental importance. These include ergodic theory and dynamics of non-amenable groups, harmonic analysis on semisimple algebraic groups and their homogeneous spaces, quantitative non-Euclidean lattice point counting problems and their application to number theory, as well as equidistribution and non-commutative Diophantine approximation. Many examples and applications are provided in the text, demonstrating the usefulness of the results established.
Detailed Information
| Author: | Alexander Gorodnik, Amos Nevo |
|---|---|
| Publication Year: | 2010 |
| ISBN: | 691141851 |
| Pages: | 136 |
| Language: | English |
| File Size: | 0.657 |
| Format: | |
| Price: | FREE |
Safe & Secure Download - No registration required
Why Choose PDFdrive for Your Free The ergodic theory of lattice subgroups Download?
- 100% Free: No hidden fees or subscriptions required for one book every day.
- No Registration: Immediate access is available without creating accounts for one book every day.
- Safe and Secure: Clean downloads without malware or viruses
- Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
- Educational Resource: Supporting knowledge sharing and learning
Frequently Asked Questions
Is it really free to download The ergodic theory of lattice subgroups PDF?
Yes, on https://PDFdrive.to you can download The ergodic theory of lattice subgroups by Alexander Gorodnik, Amos Nevo completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.
How can I read The ergodic theory of lattice subgroups on my mobile device?
After downloading The ergodic theory of lattice subgroups PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.
Is this the full version of The ergodic theory of lattice subgroups?
Yes, this is the complete PDF version of The ergodic theory of lattice subgroups by Alexander Gorodnik, Amos Nevo. You will be able to read the entire content as in the printed version without missing any pages.
Is it legal to download The ergodic theory of lattice subgroups PDF for free?
https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.
The materials shared are intended for research, educational, and personal use in accordance with fair use principles.
