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. How to observe Culture?
  2. Mirrored piezo servo hydraulic actuators for use in camless combustion engines and its Control with mirrored inputs and MPC
  3. Chain of Fools? Sensemaking Dynamics regarding the Issue of the Blockchain Technology in the FinTech Field
  4. Swarming. Science Fact and Science Fiction of Distributed Intelligence
  5. Collaborative modeling in climatic change adaptation and energy transformation.
  6. Alterations of a visual and how they work for and at the boundaries of an interorganizational team: A multimodal exploration
  7. BDSM Sagacity: embodying complexity
  8. Performativity and Authenticity in the Web 2.0-Enhanced Foreign Language Classroom
  9. LC-MS identification of the photo-transformation products of desipramine with studying the effect of different environmental variables on the kinetics of their formation
  10. Efficacy of an Internet-based problem-solving training for teachers: Results of a randomized controlled trial.
  11. Frame-based Matrix Factorizations
  12. Presentation of the paper entitled "Design of a Real Time Path of Motion Control for Manufacturing Applications"
  13. A Tool for Applications: Wavelet Packets
  14. Digitalization and cross-border knowledge transfer: The impact on international assignments
  15. Quantitative methods for research on educating educators: Designing, conducting and analyzing control trials
  16. The link between in- and external rotation of the auditor and the quality of financial accounting and audit
  17. Acceleration and Reflection
  18. Nonlinear dynamics and opinion formation in time varying networks
  19. Information, not Representation: Crowdworker Participation on Digital Work Platforms
  20. Material Migrations I Online Lecture Series
  21. ESF SCH/SCSS Exploratory Workshop - 2009
  22. DSP-Kolloquium 2017

Publications

  1. From Knowledge to Application
  2. Metaphors and Paradigms of the Language Animal—or—The Advantage of seeing “Time Is a Resource” as a Paradigm
  3. Evaluation of standard ERP software implementation approaches in terms of their capability for business process optimization
  4. Modelling and implementation of an Order2Cash Process in distributed systems
  5. Measuring Learning Styles with Questionnaires Versus Direct Observation of Preferential Choice Behavior in Authentic Learning Situations
  6. Optimizing price levels in e-commerce applications with respect to customer lifetime values
  7. Dividing Apples and Pears: Towards a Taxonomy for Agile Transformation
  8. Developing a Complex Portrait of Content Teaching for Multilingual Learners via Nonlinear Theoretical Understandings
  9. Sharing in Christ's rule
  10. Assessment of cognitive load in multimedia learning using dual-task methodology
  11. Detection of coherent oceanic structures via transfer operators
  12. Mathematical relation between extended connectivity and eigenvector coefficients.
  13. Mining Implications From Data
  14. Executive function and Language Learning
  15. Comparing Empirical Methodologies in Pragmatics
  16. Construct- and criterion-related validity of the German Core Self-Evaluations Scale
  17. Assessing Quality of Teaching from Different Perspectives
  18. The Benefit of Web- and Computer-Based Interventions for Stress
  19. Passive Rotation of Rotational Joints and Its Computation Method
  20. Dynamic priority based dispatching of AGVs in flexible job shops
  21. In-Vehicle Sensor System for Monitoring Efficiency of Vehicle E/E Architectures
  22. Complexity and Administrative Intensity
  23. Combined MRI-PET dissects dynamic changes in plant structures and functions
  24. Analysis of the construction of an autonomous robot to improve its energy efficiency when traveling through irregular terrain