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010   $a3-031-31323-2
024 7 $a10.1007/978-3-031-31323-3
035   $a(CKB)26852214900041
035   $a(MiAaPQ)EBC30589079
035   $a(Au-PeEL)EBL30589079
035   $a(OCoLC)1381708320
035   $a(DE-He213)978-3-031-31323-3
035   $a(PPN)27227254X
035   $a(EXLCZ)9926852214900041
100   $a20230606d2023      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSome Fundamentals of Mathematics of Blockchain /$fby Julien Riposo
205   $a1st ed. 2023.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023.
215   $a1 online resource (155 pages)
311 08$a9783031313226 
320   $aIncludes bibliographical references and index.
327   $aI. 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 ????-Trees -- VII. Entropy of Peer-to-Peer Network -- VIII. Applications: Selection of Research Studies -- Conclusion -- References -- Index.-.
330   $aThis 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.
606   $aMathematics
606   $aEconomics
606   $aGraph theory
606   $aGeneral Mathematics
606   $aEconomics
606   $aGraph Theory
615  0$aMathematics.
615  0$aEconomics.
615  0$aGraph theory.
615 14$aGeneral Mathematics.
615 24$aEconomics.
615 24$aGraph Theory.
676   $a005.74015113
676   $a005.74015113
700   $aRiposo$b Julien$01380232
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910729894703321
996   $aSome Fundamentals of Mathematics of Blockchain$93421512
997   $aUNINA