00846nam0-22003011i-450-99000076088040332120001010000076088FED01000076088(Aleph)000076088FED0100007608820001010d--------km-y0itay50------baitay-------001yyCONOSCERE l'Italiaenciclopedia della Italia antica e modernaCampaniaNovaraIstituto geografico De Agostinic19802 v. (596 p. compless.)30 cmENCICLOPEDIA030ITUNINARICAUNIMARCBK990000760880403321SEZ.NA C 184 (212961FARBCSEZ.NA C 184 (112960FARBCFARBCConoscere l'Italia169319UNINAING0103131nam 22005895 450 991072989470332120251009083459.03-031-31323-210.1007/978-3-031-31323-3(CKB)26852214900041(MiAaPQ)EBC30589079(Au-PeEL)EBL30589079(OCoLC)1381708320(DE-He213)978-3-031-31323-3(PPN)27227254X(EXLCZ)992685221490004120230606d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSome Fundamentals of Mathematics of Blockchain /by Julien Riposo1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (155 pages)9783031313226 Includes bibliographical references and index.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 ����-Trees -- VII. Entropy of Peer-to-Peer Network -- VIII. Applications: Selection of Research Studies -- Conclusion -- References -- Index.-.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.MathematicsEconomicsGraph theoryGeneral MathematicsEconomicsGraph TheoryMathematics.Economics.Graph theory.General Mathematics.Economics.Graph Theory.005.74015113005.74015113Riposo Julien1380232MiAaPQMiAaPQMiAaPQBOOK9910729894703321Some Fundamentals of Mathematics of Blockchain3421512UNINA