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

Publications

  1. The impact of supervisory board composition on CSR reporting
  2. Script and sound
  3. Emotions and multimedia learning
  4. Do overlapping audit and compensation committee memberships contribute to better financial reporting quality?
  5. Vibration analysis based on the spectrum kurtosis for adjustment and monitoring of ball bearing radial clearance
  6. Super-Twisting Sliding Mode Control for Differential Steering Systems in Vehicular Yaw Tracking Motion
  7. Number theoretical peculiarities in the dimension theory of dynamical systems
  8. The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach
  9. Addendum to L. Lauwers and L. Van Liedekerke, “Ultraproducts and aggregation"
  10. Case Study
  11. Numerical investigation of laser beam-welded AA2198 joints under different artificial ageing conditions
  12. Evaluation von Unterrichtsstandards
  13. Random walks on infinite self-similar graphs
  14. Do We Really Know The Benefit Of Machine Learning In Production Planning And Control? A Systematic Review Of Industry Case Studies
  15. The Role of Zn on the Elevated Temperature Compression Behavior of Mg5Nd
  16. Do protected areas networks ensure the supply of ecosystem services? Spatial patterns of two nature reserve systems in semi-arid Spain
  17. The multipole resonance probe
  18. A new approach to semantic sustainability assessment
  19. Restricted nonlinear approximation
  20. Risk preferences under heterogeneous environmental risk
  21. Dynamics of Supply Chains Under Mixed Production Strategies
  22. Adaptive Lehrerinterventionen beim mathematischen Modellieren
  23. Feasibility of a worker-directed web-based intervention for employees with depressive symptoms
  24. A review of FEM code accuracy for reliable extrusion process analysis
  25. The IRENA Project Navigator
  26. Classifying railway stations for strategic transport and land use planning
  27. A general result on absolute continuity of non-uniform self-similar measures on the real line
  28. B7-H1 Selectively Controls TH17 Differentiation and Central Nervous System Autoimmunity via a Novel Non-PD-1-Mediated Pathway
  29. Similar factors underlie tree abundance in forests in native and alien ranges
  30. Propagation of particles injected from interplanetary shocks
  31. Bifurcation loads of circular curved beams of glued-laminated timber with continuous lateral support
  32. MICSIM-4J - A General Microsimulation Model
  33. Analysis of observability of a differential equation system describing a synchronous electromagnetic drive
  34. Associations between the financial and industry expertise of audit committee members and Key Audit Matters within related audit reports
  35. Microstructure and hardness evolution of laser metal deposited AA5087 wall-structures
  36. The multi-criteria effectiveness evaluation of the robotic group based on 3D real-time vision system
  37. The ESBW Short Scale A Test for Assessing Teachers’ Standards-Based Educational Knowledge
  38. Intra-specific leaf trait responses to species richness at two different local scales
  39. Traits of butterfly communities change from specialist to generalist characteristics with increasing land-use intensity
  40. Abnormal extrusion texture and reversed yield asymmetry in a Mg–Y-Sm-Zn-Zr alloy
  41. Microstructure and creep properties of MEZ magnesium alloy processed by thixocasting
  42. Efficient Classification of Images with Taxonomies
  43. Anisotropic wavelet bases and thresholding
  44. Recent developments in the manufacture of complex components by influencing the material flow during extrusion
  45. Sensitivity of trace-element analysis by X-ray emission induced by 0.1-10 MeV electrons
  46. An extended kalman filter for temperature monitoring of a metal-polymer hybrid fibre based heater structure