Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
The central limit theorem for random perturbations of rotations
Download PDF
Download PDF
  • Article
  • Published: June 1998

The central limit theorem for random perturbations of rotations

  • Manfred Denker1 &
  • Mikhail Gordin2 

Probability Theory and Related Fields volume 111, pages 1–16 (1998)Cite this article

Summary.

We prove a functional central limit theorem for stationary random sequences given by the transformations

on the two-dimensional torus. This result is based on a functional central limit theorem for ergodic stationary martingale differences with values in a separable Hilbert space of square integrable functions.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Institut für Mathematische Stochastik, Universität Göttingen, Lotzestr. 13, D-37083 Göttingen, Germany. e-mail: denker@namu01.gwdg.de, , , , , , DE

    Manfred Denker

  2. St. Petersburg Division of V.A. Steklov Mathematical Institute, Fontanka 27, 197011 St. Petersburg, Russia. e-mail: gordin@pdmi.ras.ru, , , , , , RU

    Mikhail Gordin

Authors
  1. Manfred Denker
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mikhail Gordin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 11 March 1997 / In revised form: 1 December 1997This research was supported by the Deutsche Forschungsgemeinschaft and the Russian Foundation for Basic Research, grant 96-01-00096. The second author was also partially supported by INTAS, grant 94-4194.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Denker, M., Gordin, M. The central limit theorem for random perturbations of rotations. Probab Theory Relat Fields 111, 1–16 (1998). https://doi.org/10.1007/s004400050160

Download citation

  • Issue Date: June 1998

  • DOI: https://doi.org/10.1007/s004400050160

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Mathematics Subject Classification (1991): 60F05
  • 28D05
  • 58F11
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature