1. //
  2. Start
  3. //
  4. Publications
  5. //
  6. Dimension theory of linear solenoids
  7. //

Dimension theory of linear solenoids

Research output: Journal contributions › Journal articles › Research › peer-review

Authors

We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question of whether there exists a measure of full dimension.
Original languageEnglish
JournalFractals
Volume15
Issue number1
Pages (from-to)63-72
Number of pages10
ISSN0218-348X
DOIs
Publication statusPublished - 03.2007

    Research areas

  • Mathematics - : Solenoid-Like Dynamical Systems, Dimension theory, Measures of Full Dimension

Related by journal

A general result on absolute continuity of non-uniform self-similar measures on the real line

Neunhäuserer, J., 01.12.2008, In: Fractals. 16, 4, p. 299-304 6 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Other publications by the same author(s)

Return of Fibonacci random walks

Neunhäuserer, J., 01.02.2017, In: Statistics and Probability Letters. 121, p. 51-53 3 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Nonuniform Markov geometric measures

Neunhäuserer, J., 2015, In: Communications in Mathematical Analysis . 18, 1, p. 36-47 12 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Absolutely continuous random power series in reciprocals of Pisot numbers

Neunhäuserer, J., 02.2013, In: Statistics and Probability Letters. 83, 2, p. 431-435 5 p.

Research output: Journal contributions › Journal articles › Research › peer-review

A construction of singular overlapping asymmetric self-similar measures

Neunhäuserer, J., 12.2006, In: Acta Mathematica Hungarica. 113, 4, p. 333-343 11 p.

Research output: Journal contributions › Journal articles › Research › peer-review

A family of exceptional parameters for non-uniform self-similar measures

Neunhäuserer, J., 12.04.2011, In: Electronic Communications in Probability. 16, p. 192-199 8 p., 19.

Research output: Journal contributions › Journal articles › Research › peer-review

DOI

Recently viewed

Activities

  1. Amplifying the Impact of Local Initiatives in Sustainability Transformations – A pragmatic Typology
  2. New Work - Corporate Digital Responsibility: Digitalization for a sustainable future
  3. It’s all method – Schmitz and Neo-phenomenology
  4. Symposium "Quantum Dämon"
  5. Improving skills. Evidence from secondary analysis of international surveys 2012
  6. Building Bridges in Ecology – Linking Systems, Scales and Disciplines
  7. Reforming the Formless
  8. ECPR Joint Sessions of Workshops 2024
  9. Wissenschaftstheorie
  10. The Paradox of Democracy: Why Mass Support for Democracy Co-exists So Easily with Non-Democracy
  11. Ammonia volatilization in an alkaline upland soil in Norhthern China: – comparative measurements and modelling results
  12. Agrobiodiversity between Protection and Use – the Example of Rural Development in Germany
  13. The Insider's Guide to Getting Published in International Research Journals - 2011
  14. MA-Arbeiten 2020
  15. Working in context - Garth Evans' Placement at the British Steel Corporation
  16. Xtended Sampling II 1998
  17. Environmental Management Accounting Support for Rice Husk Processing Alternatives: Integrating Environmental Risk Considerations into Investment Decisions
  18. Assessing the Boundary-Crossing Collaboration in Research-Practice Partnerships in Initial Teacher Education: Empirical Insights
  19. Poster: Digital technology in physical education - A Systematic Review

Publications

  1. Red List of marine macroalgae of the Wadden Sea
  2. CAN BUSINESS MODEL COMPONENTS EXPLAIN DIGITAL START-UP SUCCESS?
  3. Experimentation for Sustainable Innovation
  4. Joint production, externalities, and the regulation of production networks
  5. Determination of rutin in green tea infusions using square-wave voltammetry with a rigid carbon-polyurethane composite electrode
  6. Multitrophic diversity in a biodiverse forest is highly nonlinear across spatial scales
  7. The emotional spectrum in traffic situations: Results of two online-studies
  8. The display makes a difference
  9. Building capacity for the science-policy interface on biodiversity and ecosystem services
  10. Multilevel Water Governance and Problems of Scale
  11. Risk Aversion and Worker Sorting into Public Sector Employment
  12. Minimal conditions of motor inductions of approach-avoidance states
  13. Consumer Online Search Behavior
  14. Managing Biodiversity Correctly
  15. Can management compensate for atmospheric nutrient deposition in heathland ecosystems?
  16. Parameters, concepts and the terminology of outer space law: a review of the essential facilities served by outer space activities and the rules of interpretation for treaty law and soft law guidelines.
  17. The impact of enactive exploration on intrinsic motivation, strategy, and performance in electronic search
  18. The internal audience of external communications
  19. Consumers' Responses to CSR Activities
  20. Workplace mediation: Lessons from negotiation theory
  21. Analysis of mechanical properties and microstructure of single and double-pass friction stir welded T-joints for aluminium stiffened Panels
  22. The Managerial Relevance of Marketing Science: Properties and Genesis