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Some fundamentals of mathematics of blockchain / Julien Riposo.

Riposo, Julien, author.
2023
QA76.9.B56
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Title
Some fundamentals of mathematics of blockchain / Julien Riposo.
Author
Riposo, Julien, author.
ISBN
9783031313233 (electronic bk.)
3031313232 (electronic bk.)
9783031313226
3031313224
DOI
https://doi.org/10.1007/978-3-031-31323-3
Published
Cham : Springer, [2023]
Copyright
©2023
Language
English
Description
1 online resource (xiii, 150 pages)
Item Number
10.1007/978-3-031-31323-3 doi
Call Number
QA76.9.B56
Dewey Decimal Classification
005.7401/5113
Summary
This book provides a foundation for the mathematics of blockchain. It is inspired by a general analysis and synthesis of the current knowledge of blockchain technology and starts by laying a foundation for the mathematics of blockchain. The aim is for research in the area of blockchain to lead their study from the construction highlighted in this book. First, the basis of a blockchain is set: block, transaction contents, block header, Merkle tree, nonce, Proof-of-Work. Connections with elliptic curves and cryptographic signatures are made. Second, the book ties this with a Graph and Matrix Theories approach and models the peer-to-peer relationship through the Bitcoin Network. Third, it is proposed further modelling, notably around halving, optimal storing, or diffusion of information, which are consequences of the mathematical foundation. The notion of Entropy of Privacy and the Particles model are introduced. Finally, the mathematical statements therein are proven and essential reminders can be found before each section, so the content can be accessible from a graduate level.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 15, 2023).
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Some Fundamentals of Mathematics of Blockchain
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I. Blockchain and the Underlying Mathematics
II. Mathematical Settings of the Blockchain
III. Digital Signature
IV. Blockchain Contributors: the Network of Users
V. Halving and Cycles Theorem
VI. On Improving the Merkle Trees: the n-Trees
VII. Entropy of Peer-to-Peer Network
VIII. Applications: Selection of Research Studies
Conclusion
References
Index.-.

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