Properties of some overlapping self-similar and some self-affine measures

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

We generalize theorems of Peres and Solomyak about the abso- lute continuity resp. singularity of Bernoulli convolutions ([19], [16], [17]) to a broader class of self-similar measures on the real line. Using the dimension the- ory of ergodic measures (see [11] and [2]) we find a formula for the dimension of certain self-affine measures in terms of the dimension of the above mentioned self- similar measures. Combining these results we show the identity of Hausdorff and box-counting dimension of a special class of self-affine sets.
OriginalspracheEnglisch
ZeitschriftActa Mathematica Hungarica
Jahrgang92
Ausgabenummer1-2
Seiten (von - bis)143-161
Anzahl der Seiten19
ISSN0236-5294
DOIs
PublikationsstatusErschienen - 07.2001

DOI

Zuletzt angesehen

Forschende

  1. Thomas Petzel

Publikationen

  1. Preference and willingness to pay for meat substitutes based on micro-algae
  2. Simulations in Science Education - Status Quo
  3. Flexible software support for mobility services
  4. A Review on Higher Education for Sustainable Development - Looking Back and Moving Forward
  5. The patterns of curriculum change processes that embed sustainability in higher education institutions
  6. Soziale Farbe (II)
  7. The bidirectional relationship between ESG performance and earnings management
  8. Promoting physical activity in worksite settings
  9. Sustainability performance measurement – a framework for context-specific applications
  10. Replik
  11. Dimensional models for the perception of rectangles
  12. Preventing Depression in Adults With Subthreshold Depression
  13. A web- And mobile-based intervention for comorbid, recurrent depression in patients with chronic back pain on sick leave (get.back)
  14. 3D microstructural evolution on solidifying Mg–5Nd–5Zn alloy observed via in situ synchrotron tomography
  15. The impact of partially missing communities on the reliability of centrality measures
  16. Hot working parameters and mechanisms in as-cast Mg-3Sn-1Ca alloy
  17. Integrating sense of place into participatory landscape planning: merging mapping surveys and geodesign workshops
  18. Cleansing procedures for overlaps and inconsistencies in administrative data. The case of German labour market data
  19. The Enduring Ephemeral, or the Future is a Memory.
  20. Intra-Individual Value Change in Adulthood
  21. Modelling Interdependencies Within Production Planning and Control
  22. Fernsehen
  23. Lifelong learning in practice at Leuphana University
  24. On the Existence of Digital Objects
  25. Towards a Cyclical Concept of Real-World Laboratories
  26. Introduction
  27. Imagining is Not Observing
  28. Using a leverage points perspective to compare social-ecological systems: a case study on rural landscapes
  29. Negative theme zones in political interviews
  30. Greater fit and a greater gap
  31. Constitutive views on csr communication
  32. Predicting Effects of a Digital Stress Intervention for Patients With Depressive Symptoms
  33. Verbund-Simulation - Strategic Planning and Optimization of Integrated Production Networks
  34. Sprache und Sprachgebrauch untersuchen in der Primarstufe
  35. Boosting and sustaining passion
  36. Innovative teaching of mathematics in German secondary schools