Random walks on infinite self-similar graphs

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

We introduce a class of rooted infinite self-similar graphs containing the well known Fibonacci graph and graphs associated with Pisot numbers. We consider directed random walks on these graphs and study their entropy and their limit measures. We prove that every infinite self-similar graph has a random walk of full entropy and that the limit measures of this random walks are absolutely continuous.
Original languageEnglish
Article number46
JournalElectronic Journal of Probability
Volume12
Pages (from-to)1258-1275
Number of pages18
ISSN1083-6489
DOIs
Publication statusPublished - 15.10.2007
Externally publishedYes

Documents

DOI

Recently viewed

Publications

  1. Do We Really Know The Benefit Of Machine Learning In Production Planning And Control? A Systematic Review Of Industry Case Studies
  2. The Role of Zn on the Elevated Temperature Compression Behavior of Mg5Nd
  3. Do protected areas networks ensure the supply of ecosystem services? Spatial patterns of two nature reserve systems in semi-arid Spain
  4. The multipole resonance probe
  5. A new approach to semantic sustainability assessment
  6. Restricted nonlinear approximation
  7. Risk preferences under heterogeneous environmental risk
  8. Dynamics of Supply Chains Under Mixed Production Strategies
  9. Adaptive Lehrerinterventionen beim mathematischen Modellieren
  10. Feasibility of a worker-directed web-based intervention for employees with depressive symptoms
  11. A review of FEM code accuracy for reliable extrusion process analysis
  12. The IRENA Project Navigator
  13. Classifying railway stations for strategic transport and land use planning
  14. A general result on absolute continuity of non-uniform self-similar measures on the real line
  15. B7-H1 Selectively Controls TH17 Differentiation and Central Nervous System Autoimmunity via a Novel Non-PD-1-Mediated Pathway
  16. Similar factors underlie tree abundance in forests in native and alien ranges
  17. Propagation of particles injected from interplanetary shocks
  18. Bifurcation loads of circular curved beams of glued-laminated timber with continuous lateral support
  19. MICSIM-4J - A General Microsimulation Model
  20. Analysis of observability of a differential equation system describing a synchronous electromagnetic drive
  21. Associations between the financial and industry expertise of audit committee members and Key Audit Matters within related audit reports
  22. Microstructure and hardness evolution of laser metal deposited AA5087 wall-structures
  23. The multi-criteria effectiveness evaluation of the robotic group based on 3D real-time vision system
  24. The ESBW Short Scale A Test for Assessing Teachers’ Standards-Based Educational Knowledge
  25. Intra-specific leaf trait responses to species richness at two different local scales
  26. Traits of butterfly communities change from specialist to generalist characteristics with increasing land-use intensity
  27. Abnormal extrusion texture and reversed yield asymmetry in a Mg–Y-Sm-Zn-Zr alloy
  28. Microstructure and creep properties of MEZ magnesium alloy processed by thixocasting
  29. Efficient Classification of Images with Taxonomies
  30. Anisotropic wavelet bases and thresholding
  31. Recent developments in the manufacture of complex components by influencing the material flow during extrusion
  32. Sensitivity of trace-element analysis by X-ray emission induced by 0.1-10 MeV electrons
  33. An extended kalman filter for temperature monitoring of a metal-polymer hybrid fibre based heater structure
  34. Revisiting Carbon Disclosure and Performance
  35. Aluminium-rich coring structures in Mg-Al alloys with carbon inoculation
  36. An EEG frequency tagging study on biological motion perception in children with DCD
  37. The Cox ring of the space of complete rank two collineations
  38. Microstructure, mechanical and corrosion properties of Mg-Gd-Zn alloys
  39. Peer Evaluation Can Reliably Measure Local Knowledge
  40. Helping to improve suggestion systems
  41. Study on Mg–Si–Sr ternary alloys for biomedical applications
  42. Robust Current Decoupling in a Permanent Magnet Motor Combining a Geometric Method and SMC