1.

Record Nr.

UNISA996418301603316

Titolo

Advances in Cryptology – EUROCRYPT 2020 [[electronic resource] ] : 39th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Zagreb, Croatia, May 10–14, 2020, Proceedings, Part II / / edited by Anne Canteaut, Yuval Ishai

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-45724-9

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (xv, 861 pages)

Collana

Security and Cryptology ; ; 12106

Disciplina

005.8

Soggetti

Data encryption (Computer science)

Computers

Computer communication systems

Computer security

Data structures (Computer science)

Cryptology

Information Systems and Communication Service

Computer Communication Networks

Systems and Data Security

Data Structures and Information Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Generic Models -- Secure Computation I -- Quantum I -- Foundations -- Isogeny-Based Cryptography -- Lattice-Based Cryptography -- Symmetric Cryptography II -- Secure Computation II.

Sommario/riassunto

The three volume-set LNCS 12105, 12106, and 12107 constitute the thoroughly refereed proceedings of the 39th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2020, which was due to be held in Zagreb, Croatia, in May 2020. The conference was held virtually due to the COVID-19 pandemic. The 81 full papers presented were carefully reviewed and selected from 375 submissions. The papers are organized



into the following topical sections: invited talk; best paper awards; obfuscation and functional encryption; symmetric cryptanalysis; randomness extraction; symmetric cryptography I; secret sharing; fault-attack security; succinct proofs; generic models; secure computation I; quantum I; foundations; isogeny-based cryptography; lattice-based cryptography; symmetric cryptography II; secure computation II; asymmetric cryptanalysis; verifiable delay functions; signatures; attribute-based encryption; side-channel security; non-interactive zero-knowledge; public-key encryption; zero-knowledge; quantum II.

2.

Record Nr.

UNINA9910154745403321

Autore

McMullen Curtis T.

Titolo

Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen

Pubbl/distr/stampa

Princeton, NJ : , : Princeton University Press, , [2016]

©1995

ISBN

1-4008-8255-9

Descrizione fisica

1 online resource (229 pages) : illustrations

Collana

Annals of Mathematics Studies ; ; 317

Disciplina

530.1/43/0151

Soggetti

Renormalization (Physics)

Polynomials

Dynamics

Mathematical physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Background in conformal geometry -- Chapter 3. Dynamics of rational maps -- Chapter 4. Holomorphic motions and the Mandelbrot set -- Chapter 5. Compactness in holomorphic dynamics -- Chapter 6. Polynomials and external rays -- Chapter 7. Renormalization -- Chapter 8. Puzzles and infinite renormalization -- Chapter 9. Robustness -- Chapter 10. Limits of renormalization -- Chapter 11.



Real quadratic polynomials -- Appendix A. Orbifolds -- Appendix B. A closing lemma for rational maps -- Bibliography -- Index

Sommario/riassunto

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps.