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Book Random Polynomials

    Book Details:
  • Author : A. T. Bharucha-Reid
  • Publisher : Academic Press
  • Release : 2014-05-10
  • ISBN : 148319146X
  • Pages : 223 pages

Download or read book Random Polynomials written by A. T. Bharucha-Reid and published by Academic Press. This book was released on 2014-05-10 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Random Polynomials focuses on a comprehensive treatment of random algebraic, orthogonal, and trigonometric polynomials. The publication first offers information on the basic definitions and properties of random algebraic polynomials and random matrices. Discussions focus on Newton's formula for random algebraic polynomials, random characteristic polynomials, measurability of the zeros of a random algebraic polynomial, and random power series and random algebraic polynomials. The text then elaborates on the number and expected number of real zeros of random algebraic polynomials; number and expected number of real zeros of other random polynomials; and variance of the number of real zeros of random algebraic polynomials. Topics include the expected number of real zeros of random orthogonal polynomials and the number and expected number of real zeros of trigonometric polynomials. The book takes a look at convergence and limit theorems for random polynomials and distribution of the zeros of random algebraic polynomials, including limit theorems for random algebraic polynomials and random companion matrices and distribution of the zeros of random algebraic polynomials. The publication is a dependable reference for probabilists, statisticians, physicists, engineers, and economists.

Book Topics in Random Polynomials

Download or read book Topics in Random Polynomials written by K Farahmand and published by CRC Press. This book was released on 1998-08-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Random Polynomials presents a rigorous and comprehensive treatment of the mathematical behavior of different types of random polynomials. These polynomials-the subject of extensive recent research-have many applications in physics, economics, and statistics. The main results are presented in such a fashion that they can be understood and used by readers whose knowledge of probability incorporates little more than basic probability theory and stochastic processes.

Book Orthogonal Polynomials and Random Matrices  A Riemann Hilbert Approach

Download or read book Orthogonal Polynomials and Random Matrices A Riemann Hilbert Approach written by Percy Deift and published by American Mathematical Soc.. This book was released on 2000 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central question was the following: Why do very general ensembles of random n times n matrices exhibit universal behavior as n > infinity? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

Book Topics in Random Polynomials

Download or read book Topics in Random Polynomials written by Kambiz Farahmand and published by . This book was released on 1998 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Random Polynomials

Download or read book Random Polynomials written by Albert T. Bharucha-Reid and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book From Topology to Computation  Proceedings of the Smalefest

Download or read book From Topology to Computation Proceedings of the Smalefest written by Morris W. Hirsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.

Book The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

Download or read book The Numerical Solution of Systems of Polynomials Arising in Engineering and Science written by Andrew John Sommese and published by World Scientific. This book was released on 2005 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.

Book Issues in Applied Physics  2012 Edition

Download or read book Issues in Applied Physics 2012 Edition written by and published by ScholarlyEditions. This book was released on 2013-01-10 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Applied Physics / 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Radiation Research. The editors have built Issues in Applied Physics: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Radiation Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Physics: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Book Advances in Cryptology     EUROCRYPT 2009

Download or read book Advances in Cryptology EUROCRYPT 2009 written by Antoine Joux and published by Springer. This book was released on 2009-04-16 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 28th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2009, held in Cologne, Germany, in April 2009. The 33 revised full papers presented together with 1 invited lecture were carefully reviewed and selected from 148 submissions. The papers address all current foundational, theoretical and research aspects of cryptology, cryptography, and cryptanalysis as well as advanced applications. The papers are organized in topical sections on security, proofs, and models, hash cryptanalysis, group and broadcast encryption, cryptosystems, cryptanalysis, side channels, curves, and randomness.

Book Progress in Cryptology   INDOCRYPT 2010

Download or read book Progress in Cryptology INDOCRYPT 2010 written by Guang Gong and published by Springer. This book was released on 2010-12-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Cryptology in India, INDOCRYPT 2010, held in Hyderabad, India, in December 2010. The 22 revised full papers were carefully reviewed and selected from 72 submissions. The papers are organized in topical sections on security of RSA and multivariate schemes; security analysis, pseudorandom permutations and applications; hash functions; attacks on block ciphers and stream ciphers; fast cryptographic computation; cryptanalysis of AES; and efficient implementation.

Book Notions of Positivity and the Geometry of Polynomials

Download or read book Notions of Positivity and the Geometry of Polynomials written by Petter Brändén and published by Springer Science & Business Media. This book was released on 2011-09-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.

Book Modern Trends in Constructive Function Theory

Download or read book Modern Trends in Constructive Function Theory written by E. B. Saff and published by American Mathematical Soc.. This book was released on 2016-03-31 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, and random polynomials.

Book Finite Fields and Applications

Download or read book Finite Fields and Applications written by Gary L. Mullen and published by Springer Science & Business Media. This book was released on 2004-03-19 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004. The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions.

Book Schr  dinger Operators  Spectral Analysis and Number Theory

Download or read book Schr dinger Operators Spectral Analysis and Number Theory written by Sergio Albeverio and published by Springer Nature. This book was released on 2021-06-03 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still full of potential. Erik Balslev has made original and important contributions to several areas of Mathematics and its applications. He belongs to the founders of complex scaling, one of the most important methods in the mathematical and physical study of eigenvalues and resonances of Schrödinger operators, which has been very essential in advancing the solution of fundamental problems in Quantum Mechanics and related areas. He was also a pioneer in making available and developing spectral methods in the study of important problems in Analytic Number Theory.

Book Library of Congress Subject Headings

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2004 with total page 1384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Higher dimensional Geometry Over Finite Fields

Download or read book Higher dimensional Geometry Over Finite Fields written by Dmitri Kaledin and published by IOS Press. This book was released on 2008 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings of the NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields, Geottingen, Germany, 25 June-6 July 2007."--T.p. verso.

Book Library of Congress Subject Headings

Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 1999 with total page 1172 pages. Available in PDF, EPUB and Kindle. Book excerpt: