Dimension estimates for certain sets of infinite complex continued fractions

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

We prove upper and lower estimates on the Hausdorff dimension of sets of infinite complex continued fractions with finitely many prescribed Gaussian integers. Particulary we will conclude that the dimension of theses sets is not zero or two and there are such sets with dimension greater than one and smaller than one.
OriginalspracheEnglisch
Aufsatznummer754134
ZeitschriftJournal of Mathematics
Jahrgang2013
Anzahl der Seiten5
ISSN2314-4629
DOIs
PublikationsstatusErschienen - 01.01.2013
Extern publiziertJa

Bibliographische Notiz

Publisher Copyright:
© 2013 J. Neunhäuserer.

Dokumente

DOI

Zuletzt angesehen

Publikationen

  1. Problem solving in mathematics education
  2. Implementing aspects of inquiry-based learning in secondary chemistry classes: a case study
  3. Gamma GAMM applied on tree growth data
  4. Development of a Parameterized Model for Additively Manufactured Dies to Control the Strains in Extrudates
  5. Understanding the modes of use and availability of critical metals-An expert-based scenario analysis for the case of indium
  6. Pluralism and diversity: Trends in the use and application of ordination methods 1990-2007
  7. Bifactor Models for Predicting Criteria by General and Specific Factors
  8. Proxy Indicators for the Quality of Open-domain Dialogues
  9. Requests for mathematical reasoning in textbooks for primary-level students
  10. Combining flatness based feedforward action with a fractional PI regulator to control the intake valve engine
  11. Clashing Values
  12. Entangled – But How?
  13. A highly transparent method of assessing the contribution of incentives to meet various technical challenges in distributed energy systems
  14. Short-arc measurement and fitting based on the bidirectional prediction of observed data
  15. Exploring the Uncanny-Valley-Effect in Affective Human-Robot Interaction
  16. Stressing the Relevance of Differentiating between Systematic and Random Measurement Errors in Ultrasound Muscle Thickness Diagnostics
  17. Application of design of experiments for laser shock peening process optimization
  18. I&EC 18-Small particle size magnesium in one-pot Grignard-Zerewitinoff reactions: Kinetics of and practical application to reductive dechlorination of persistent organic pollutants
  19. Statistical precipitation bias correction of gridded model data using point measurements
  20. Analytic reproducibility in articles receiving open data badges at the journal Psychological Science
  21. Optimal trajectory generation for camless internal combustion engine valve control
  22. Integrating teacher and student workspaces in a technology-enhanced mathematics lecture
  23. rSOESGOPE Method Applied to Four-Tank System Modeling
  24. Increased auditor independence by external rotation and separating audit and non audit duties?
  25. Exploding Images
  26. Effect of internal defects on tensile properties of A356 casting alloys
  27. Article 11 Formal Validity
  28. The relationship between resilience and sustainable development of ecological-economic systems
  29. Enhancing the structural diversity between forest patches — A concept and real-world experiment to study biodiversity, multifunctionality and forest resilience across spatial scales
  30. Joint Proceedings of Scholarly QALD 2023 and SemREC 2023 co-located with 22nd International Semantic Web Conference ISWC 2023
  31. Repatriation, Public Programming, and the DEAI Toolkit
  32. Sustainability and management control. Exploring and theorizing control patterns in large European firms
  33. Magnesium recycling: State-of-the-Art developments, part II
  34. Taming a Wicked Problem
  35. Wavelet characterizations for anisotropic Besov spaces