1. //
  2. Start
  3. //
  4. Publications
  5. Return of Fibonacci random walks
  6. Output formats
  7. //

Return of Fibonacci random walks

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

Standard

Return of Fibonacci random walks. / Neunhäuserer, Jörg.
In: Statistics and Probability Letters, Vol. 121, 01.02.2017, p. 51-53.

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

Harvard

Neunhäuserer, J 2017, 'Return of Fibonacci random walks', Statistics and Probability Letters, vol. 121, pp. 51-53. https://doi.org/10.1016/j.spl.2016.10.009

APA

Neunhäuserer, J. (2017). Return of Fibonacci random walks. Statistics and Probability Letters, 121, 51-53. https://doi.org/10.1016/j.spl.2016.10.009

Vancouver

Neunhäuserer J. Return of Fibonacci random walks. Statistics and Probability Letters. 2017 Feb 1;121:51-53. doi: 10.1016/j.spl.2016.10.009

Bibtex

@article{1b3f0bd047f8459abf633f60b19dcdec,
title = "Return of Fibonacci random walks",
abstract = "We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.",
keywords = "Fibonacci numbers, Hausdorff dimension, Probability of return, Random walks, Mathematics",
author = "J{\"o}rg Neunh{\"a}userer",
year = "2017",
month = feb,
day = "1",
doi = "10.1016/j.spl.2016.10.009",
language = "English",
volume = "121",
pages = "51--53",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier B.V.",

}

RIS

TY - JOUR

T1 - Return of Fibonacci random walks

AU - Neunhäuserer, Jörg

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.

AB - We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.

KW - Fibonacci numbers

KW - Hausdorff dimension

KW - Probability of return

KW - Random walks

KW - Mathematics

UR - http://www.scopus.com/inward/record.url?scp=84994021861&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2016.10.009

DO - 10.1016/j.spl.2016.10.009

M3 - Journal articles

AN - SCOPUS:84994021861

VL - 121

SP - 51

EP - 53

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

ER -

Related by journal

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

Other publications by the same author(s)

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

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

DOI

Recently viewed

Activities

  1. Linguistic Determines Mathematics: How Linguistic Item Characteristics Influence the Difficulty of Mathematics Test Ttems
  2. diffractions and the (un-)making of difference - 2020
  3. Expertise in law: 'from above' and 'from below'
  4. An axiomatic foundation of entropic preferences under Knightian uncertainty
  5. Shifting Backstages and Frontlines of Embodiment
  6. How do pre-service teachers analyze classroom lessons? Different patterns of written analysis and effects of direct instructional or problem-oriented learning environments.
  7. Transdisciplinary Evaluation of Alternative Adaptation Strategies Value-Tree Method as a Tool to Integrate Multiple Values of Science, Practice and the General Public into Decision-Making
  8. Between primary and secondary information: Gilbert Simondon and the question of complexity and control
  9. Employer Longevity Readiness Index Workshop: Session 2: How do you build a longevity readiness Index?
  10. Detection time analysis of propulsion system fault effects in a hexacopter
  11. How to observe Culture?
  12. Center for Advanced Internet Studies GmbH
  13. A Phenomenographical Study of Children's Spatial Thought while using Maps in Real Spaces

Publications

  1. Sensitivity to complexity - an important prerequisite of problem solving mathematics teaching
  2. Combining multiple investigative approaches to unravel functional responses to global change in the understorey of temperate forests
  3. Dispatching rule selection with Gaussian processes
  4. An extended analytical approach to evaluating monotonic functions of fuzzy numbers
  5. Parameters Estimation of a Lotka-Volterra Model in an Application for Market Graphics Processing Units
  6. Estimation and interpretation of a Heckman selection model with endogenous covariates
  7. Comparison of Bio-Inspired Algorithms in a Case Study for Optimizing Capacitor Bank Allocation in Electrical Power Distribution
  8. Changing the Administration from within:
  9. Positioning Improvement for a Laser Scanning System using cSORPD control
  10. An analytical approach to evaluating nonmonotonic functions of fuzzy numbers
  11. Enhancing implicit change detection through action
  12. Mining positional data streams
  13. Who can receive the pass? A computational model for quantifying availability in soccer
  14. Development of a scoring parameter to characterize data quality of centroids in high-resolution mass spectra
  15. Trait correlation network analysis identifies biomass allocation traits and stem specific length as hub traits in herbaceous perennial plants
  16. Material flow during constrained friction processing and its effects on the local properties of AM50 rods
  17. Applications of the Simultaneous Modular Approach in the Field of Material Flow Analysis
  18. Understanding reading as a form of language-use
  19. HAWK - hybrid question answering using linked data
  20. Identification of conductive fiber parameters with transcutaneous electrical nerve stimulation signal using RLS algorithm
  21. Introducing split orders and optimizing operational policies in robotic mobile fulfillment systems
  22. Dynamic priority based dispatching of AGVs in flexible job shops
  23. Stability analysis of a linear model predictive control and its application in a water recovery process
  24. Supporting discourse in a synchronous learning environment
  25. From Knowledge to Application
  26. What can conservation strategies learn from the ecosystem services approach?
  27. Modeling items for text comprehension assessment using confirmatory factor analysis
  28. Text Comprehension as a Mediator in Solving Mathematical Reality-Based Tasks
  29. How Much Tracking Is Necessary? - The Learning Curve in Bayesian User Journey Analysis
  30. Reality-Based Tasks with Complex-Situations
  31. Self-tuning of a kalman filter applied in a DC drive and in a kalman-based sensor