On inhomogeneous Bernoulli convolutions and random power series

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

We extend the results of Peres and Solomyak on absolute continu- ity and singularity of homogeneous Bernoulli convolutions to inhomo- geneous ones and generalize the result to random power series given by inhomogeneous Markov chains. In addition we prove an Erdös-Salem type theorem for inhomogeneous Bernoulli convolutions.

Original languageEnglish
JournalReal Analysis Exchange
Volume36
Issue number1
Pages (from-to)213-222
Number of pages10
ISSN0147-1937
Publication statusPublished - 2011
Externally publishedYes

Bibliographical note

Copyright © 2010 Michigan State University Press

    Research areas

  • Mathematics
  • Absolute continuity, Inhomogeneous bernoulli convolution, Pisot numbers, Random power series, Singularity

Recently viewed

Publications

  1. Accelerated increase in plant species richness on mountain summits is linked to warming
  2. Reduced nitrate leaching from an Irish cropland soil under non-inversion tillage with cover cropping greatly outweighs increased dissolved organic nitrogen leaching
  3. How does the context and design of participatory decision making processes affect their outcomes? Evidence from sustainable land management in global drylands
  4. Towards a green and sustainable fruit waste valorisation model in Brazil
  5. “Sposi, Amici, al ballo, al gioco!”
  6. Was erklärt hohe Arbeitseinkommen der Selbstständigen?
  7. UK Unionism and Innovative Activity: Some Cautionary Remarks on the Basis of a Simple Cross-Country Test
  8. Antidepressants
  9. Sustainable management of marine fish stocks by means of sliding mode control
  10. The difficulty to behave as a (regulated) natural monopolist
  11. Factorial Validity of the Anxiety Questionnaire for Students (AFS)
  12. Die Bewertung des Informationssystems einer Unternehmung
  13. Multidimensional Time and Income Poverty
  14. Plant species diversity and endemism on islands and archipelagos, with special reference to the Macaronesian Islands
  15. GETT-QA
  16. Working time preferences and early and late retirement intentions
  17. Anspannung
  18. Simultantestprozedur für globale Nullhypothesen bei beliebiger Abhängigkeitsstruktur der Einzeltests
  19. Assessing Printability Maps in Additive Manufacturing of Metal Alloys
  20. Updating inflation expectations
  21. Climate Policy Cooperation Games between Developed and Developing Nations
  22. Pollination of apple variaties across Europe: Dependecy on cross pollination and visitor communities
  23. Sliding Mode Control and Observer-Based Disturbance Compensation for a Permanent Magnet Linear Motor