IDEAS home Printed from https://ideas.repec.org/a/gam/jjrfmx/v11y2018i4p83-d185990.html
   My bibliography  Save this article

Inflation Propensity of Collatz Orbits: A New Proof-of-Work for Blockchain Applications

Author

Listed:
  • Fabian Bocart

    (Independent Researcher, Jackson Height, NY 11372, USA)

Abstract

Cryptocurrencies such as Bitcoin rely on a proof-of-work system to validate transactions and prevent attacks or double-spending. A new proof-of-work is introduced which seems to be the first number theoretic proof-of-work unrelated to primes: it is based on a new metric associated to the Collatz algorithm whose natural generalization is algorithmically undecidable: the inflation propensity is defined as the cardinality of new maxima in a developing Collatz orbit. It is numerically verified that the distribution of inflation propensity slowly converges to a geometric distribution of parameter 0.714 ≈ ( π − 1 ) 3 as the sample size increases. This pseudo-randomness opens the door to a new class of proofs-of-work based on congruential graphs.

Suggested Citation

  • Fabian Bocart, 2018. "Inflation Propensity of Collatz Orbits: A New Proof-of-Work for Blockchain Applications," JRFM, MDPI, vol. 11(4), pages 1-18, November.
    • Handle: RePEc:gam:jjrfmx:v:11:y:2018:i:4:p:83-:d:185990
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1911-8074/11/4/83/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1911-8074/11/4/83/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Idriss J. Aberkane, 2022. "Collatz Attractors Are Space-Filling," Mathematics, MDPI, vol. 10(11), pages 1-9, May.
    2. Alexander Rahn & Eldar Sultanow & Max Henkel & Sourangshu Ghosh & Idriss J. Aberkane, 2021. "An Algorithm for Linearizing the Collatz Convergence," Mathematics, MDPI, vol. 9(16), pages 1-32, August.
    3. Christian M. Hafner, 2020. "Alternative Assets and Cryptocurrencies," JRFM, MDPI, vol. 13(1), pages 1-3, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jjrfmx:v:11:y:2018:i:4:p:83-:d:185990. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.