A Hilbert space approach to multiple recurrence in ergodic theory

A Hilbert space approach to multiple recurrence in ergodic theory

The use of Hilbert space theory became an important tool for ergodic theoreticians ever since John von Neumann proved the fundamental Mean Ergodic theorem in Hilbert space. Recurrence is one of the corner stones in the study of dynamical systems. In this dissertation some extended ideas besides thos...

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Bibliographic Details
Main Author: Beyers, Frederik Johannes Conradie
Other Authors: Prof A Ströh
Published: 2013
Subjects:
Long-term averages
Anton ströh
Multiple recurrence
Weak mixing
Multiple weak mixing
Strong mixing
Non-commutative dynamical systems
Mean ergodic theorem
Poincaré recurrence
Van der corput
Ergodicity
Ergodic theory
Dynamical systems
Hilbert space
Conrad beyers
Density
Relative density
UCTD
Online Access:http://hdl.handle.net/2263/30545
Beyers, F 2004, A Hilbert space approach to multiple recurrence in ergodic theory, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/30545 >
http://upetd.up.ac.za/thesis/available/etd-02222006-104936/

Internet

http://hdl.handle.net/2263/30545
Beyers, F 2004, A Hilbert space approach to multiple recurrence in ergodic theory, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/30545 >
http://upetd.up.ac.za/thesis/available/etd-02222006-104936/

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