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1. |
Record Nr. |
UNINA9910478891603321 |
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Autore |
Fomin Sergey |
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Titolo |
Cluster algebras and triangulated surfaces . Part II Lambda lengths / / Sergey Fomin, Dylan Thurston |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2018 |
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ISBN |
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Descrizione fisica |
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1 online resource (110 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; Number 1223 |
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Disciplina |
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Soggetti |
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Cluster algebras |
Lambda algebra |
Teichmüller spaces |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Non-normalized cluster algebras -- Chapter 3. Rescaling and normalization -- Chapter 4. Cluster algebras of geometric type and their positive realizations -- Chapter 5. Bordered surfaces, arc complexes, and tagged arcs -- Chapter 6. Structural results -- Chapter 7. Lambda lengths on bordered surfaces with punctures -- Chapter 8. Lambda lengths of tagged arcs -- Chapter 9. Opened surfaces -- Chapter 10. Lambda lengths on opened surfaces -- Chapter 11. Non-normalized exchange patterns from surfaces -- Chapter 12. Laminations and shear coordinates -- Chapter 13. Shear coordinates with respect to tagged triangulations -- Chapter 14. Tropical lambda lengths -- Chapter 15. Laminated Teichmüller spaces -- Chapter 16. Topological realizations of some coordinate rings -- Chapter 17. Principal and universal coefficients -- Appendix A. Tropical degeneration and relative lambda lengths -- Appendix B. Versions of Teichmüller spaces and coordinates -- Bibliography -- Back Cover. |
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Sommario/riassunto |
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For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realization in terms of suitable decorated Teichmüller space of the surface. On the geometric side, this requires |
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opening the surface at each interior marked point into an additional geodesic boundary component. On the algebraic side, it relies on the notion of a non-normalized cluster algebra and the machinery of tropical lambda lengths. The authors' model allows for an arbitrary choice of coefficients which translates into a choice of a family of integral laminations on the surface. It provides an intrinsic interpretation of cluster variables as renormalized lambda lengths of arcs on the surface. Exchange relations are written in terms of the shear coordinates of the laminations and are interpreted as generalized Ptolemy relations for lambda lengths. This approach gives alternative proofs for the main structural results from the authors' previous paper, removing unnecessary assumptions on the surface. |
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2. |
Record Nr. |
UNINA9910778130603321 |
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Autore |
Solove Daniel J. <1972-> |
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Titolo |
The digital person [[electronic resource] ] : technology and privacy in the information age / / Daniel J. Solove |
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Pubbl/distr/stampa |
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New York, : New York University Press, c2004 |
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ISBN |
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0-8147-0896-X |
1-4294-8608-2 |
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Descrizione fisica |
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1 online resource (296 p.) |
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Collana |
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Classificazione |
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Disciplina |
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Soggetti |
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Data protection - Law and legislation - United States |
Electronic records - Access control - United States |
Public records - Law and legislation - United States |
Government information - United States |
Privacy, Right of - United States |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- The rise of the digital dossier -- Kafka and Orwell : reconceptualizing information privacy -- The problems of information privacy law -- The limits of market-based solutions -- Architecture and the protection of privacy -- The problem of public records -- |
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Access and aggregation : rethinking privacy and transparency -- Government information gathering -- The Fourth Amendment, records, and privacy -- Reconstructing the architecture -- Conclusion. |
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Sommario/riassunto |
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Seven days a week, twenty-four hours a day, electronic databases are compiling information about you. As you surf the Internet, an unprecedented amount of your personal information is being recorded and preserved forever in the digital minds of computers. For each individual, these databases create a profile of activities, interests, and preferences used to investigate backgrounds, check credit, market products, and make a wide variety of decisions affecting our lives. The creation and use of these databases-which Daniel J. Solove calls “digital dossiers”-has thus far gone largely unchecked. In this startling account of new technologies for gathering and using personal data, Solove explains why digital dossiers pose a grave threat to our privacy.The Digital Person sets forth a new understanding of what privacy is, one that is appropriate for the new challenges of the Information Age. Solove recommends how the law can be reformed to simultaneously protect our privacy and allow us to enjoy the benefits of our increasingly digital world.The first volume in the series EX MACHINA: LAW, TECHNOLOGY, AND SOCIETY |
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3. |
Record Nr. |
UNIORUON00039931 |
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Autore |
GARBELL, Irene |
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Titolo |
The Jewish Neo-Aramaic dialect of Persian Azerbaijian : Linguistic, analysis and folkloristic texts / by Irene Garbell |
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Pubbl/distr/stampa |
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Descrizione fisica |
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Classificazione |
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Soggetti |
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Lingua aramaica - Dialetti - Azerbaijan |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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