Randomization, Relaxation, and Complexity in Polynomial Equation Solving

Randomization, Relaxation, and Complexity in Polynomial Equation Solving

Author: Leonid Gurvits, Philippe P\'ebay, J. Maurice Rojas, David Thompson

Publisher: American Mathematical Soc.

Published: 2011

Total Pages: 230

ISBN-13: 0821883801

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Book Synopsis Randomization, Relaxation, and Complexity in Polynomial Equation Solving by : Leonid Gurvits, Philippe P\'ebay, J. Maurice Rojas, David Thompson

Download or read book Randomization, Relaxation, and Complexity in Polynomial Equation Solving written by Leonid Gurvits, Philippe P\'ebay, J. Maurice Rojas, David Thompson and published by American Mathematical Soc.. This book was released on 2011 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Randomization, Relaxation, and Complexity in Polynomial Equation Solving

Randomization, Relaxation, and Complexity in Polynomial Equation Solving

Author: Leonid Gurvits

Publisher: American Mathematical Soc.

Published: 2011

Total Pages: 230

ISBN-13: 0821852280

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This volume corresponds to the Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, held from February 28-March 5, 2010. It contains a sample of advanced algorithmic techniques underpinning the solution of systems of polynomial equations. The papers are written by leading experts in algorithmic algebraic geometry and examine core topics.


Book Synopsis Randomization, Relaxation, and Complexity in Polynomial Equation Solving by : Leonid Gurvits

Download or read book Randomization, Relaxation, and Complexity in Polynomial Equation Solving written by Leonid Gurvits and published by American Mathematical Soc.. This book was released on 2011 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume corresponds to the Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, held from February 28-March 5, 2010. It contains a sample of advanced algorithmic techniques underpinning the solution of systems of polynomial equations. The papers are written by leading experts in algorithmic algebraic geometry and examine core topics.


Cellular Automata and Discrete Complex Systems

Cellular Automata and Discrete Complex Systems

Author: Luca Manzoni

Publisher: Springer Nature

Published: 2023-09-24

Total Pages: 175

ISBN-13: 3031422503

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This book constitutes the proceedings of the 29th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2023, which took place in Trieste, Italy, in August/September 2023. For AUTOMATA 2023, 7 full papers have been carefully reviewed and selected from 11 submissions. The book also contains 3 full papers from AUTOMATA 2022, which have been selected from a total of 18 submissions. In addition, the proceedings contain one invited talk in full paper length from AUTOMATA 2023.


Book Synopsis Cellular Automata and Discrete Complex Systems by : Luca Manzoni

Download or read book Cellular Automata and Discrete Complex Systems written by Luca Manzoni and published by Springer Nature. This book was released on 2023-09-24 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 29th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2023, which took place in Trieste, Italy, in August/September 2023. For AUTOMATA 2023, 7 full papers have been carefully reviewed and selected from 11 submissions. The book also contains 3 full papers from AUTOMATA 2022, which have been selected from a total of 18 submissions. In addition, the proceedings contain one invited talk in full paper length from AUTOMATA 2023.


Recent Trends in Nonlinear Partial Differential Equations

Recent Trends in Nonlinear Partial Differential Equations

Author: Patrizia Pucci

Publisher: American Mathematical Soc.

Published: 2013

Total Pages: 340

ISBN-13: 0821898612

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This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations. In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume. The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.


Book Synopsis Recent Trends in Nonlinear Partial Differential Equations by : Patrizia Pucci

Download or read book Recent Trends in Nonlinear Partial Differential Equations written by Patrizia Pucci and published by American Mathematical Soc.. This book was released on 2013 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations. In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume. The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.


Recent Advances in Harmonic Analysis and Partial Differential Equations

Recent Advances in Harmonic Analysis and Partial Differential Equations

Author: Andrea R. Nahmod

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 300

ISBN-13: 0821869213

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This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.


Book Synopsis Recent Advances in Harmonic Analysis and Partial Differential Equations by : Andrea R. Nahmod

Download or read book Recent Advances in Harmonic Analysis and Partial Differential Equations written by Andrea R. Nahmod and published by American Mathematical Soc.. This book was released on 2012 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.


Recent Advances in Real Complexity and Computation

Recent Advances in Real Complexity and Computation

Author: Luis M. Pardo

Publisher: American Mathematical Soc.

Published: 2014-11-12

Total Pages: 202

ISBN-13: 0821891502

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This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.


Book Synopsis Recent Advances in Real Complexity and Computation by : Luis M. Pardo

Download or read book Recent Advances in Real Complexity and Computation written by Luis M. Pardo and published by American Mathematical Soc.. This book was released on 2014-11-12 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.


Maple in Mathematics Education and Research

Maple in Mathematics Education and Research

Author: Jürgen Gerhard

Publisher: Springer Nature

Published: 2020-02-27

Total Pages: 367

ISBN-13: 303041258X

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This book constitutes the refereed proceedings of the third Maple Conference, MC 2019, held in Waterloo, Ontario, Canada, in October 2019. The 21 revised full papers and 9 short papers were carefully reviewed and selected out of 37 submissions, one invited paper is also presented in the volume. The papers included in this book cover topics in education, algorithms, and applciations of the mathematical software Maple.


Book Synopsis Maple in Mathematics Education and Research by : Jürgen Gerhard

Download or read book Maple in Mathematics Education and Research written by Jürgen Gerhard and published by Springer Nature. This book was released on 2020-02-27 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the third Maple Conference, MC 2019, held in Waterloo, Ontario, Canada, in October 2019. The 21 revised full papers and 9 short papers were carefully reviewed and selected out of 37 submissions, one invited paper is also presented in the volume. The papers included in this book cover topics in education, algorithms, and applciations of the mathematical software Maple.


Geometric Analysis

Geometric Analysis

Author: Joaqu’n PŽrez

Publisher: American Mathematical Soc.

Published: 2012-07-16

Total Pages: 198

ISBN-13: 0821849921

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This volume contains research and expository articles from the courses and talks given at the RSME Lluis A. Santalo Summer School, ``Geometric Analysis'', held June 28-July 2, 2010, in Granada, Spain. The goal of the Summer School was to present some of the many advances currently taking place in the interaction between partial differential equations and differential geometry, with special emphasis on the theory of minimal surfaces. This volume includes expository articles about the current state of specific problems involving curvature and partial differential equations, with interactions to neighboring fields such as probability. An introductory, mostly self-contained course on constant mean curvature surfaces in Lie groups equipped with a left invariant metric is provided. The volume will be of interest to researchers, post-docs, and advanced PhD students in the interface between partial differential equations and differential geometry.


Book Synopsis Geometric Analysis by : Joaqu’n PŽrez

Download or read book Geometric Analysis written by Joaqu’n PŽrez and published by American Mathematical Soc.. This book was released on 2012-07-16 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and expository articles from the courses and talks given at the RSME Lluis A. Santalo Summer School, ``Geometric Analysis'', held June 28-July 2, 2010, in Granada, Spain. The goal of the Summer School was to present some of the many advances currently taking place in the interaction between partial differential equations and differential geometry, with special emphasis on the theory of minimal surfaces. This volume includes expository articles about the current state of specific problems involving curvature and partial differential equations, with interactions to neighboring fields such as probability. An introductory, mostly self-contained course on constant mean curvature surfaces in Lie groups equipped with a left invariant metric is provided. The volume will be of interest to researchers, post-docs, and advanced PhD students in the interface between partial differential equations and differential geometry.


Advances in Ultrametric Analysis

Advances in Ultrametric Analysis

Author: Khodr Shamseddine

Publisher: American Mathematical Soc.

Published: 2013

Total Pages: 305

ISBN-13: 0821891421

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This volume contains papers based on lectures given at the 12th International Conference on p-adic Functional Analysis, which was held at the University of Manitoba on July 2-6, 2012. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.


Book Synopsis Advances in Ultrametric Analysis by : Khodr Shamseddine

Download or read book Advances in Ultrametric Analysis written by Khodr Shamseddine and published by American Mathematical Soc.. This book was released on 2013 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on lectures given at the 12th International Conference on p-adic Functional Analysis, which was held at the University of Manitoba on July 2-6, 2012. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.


Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics

Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics

Author: Primitivo B. Acosta Humanez

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 226

ISBN-13: 0821875841

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This volume represents the 2010 Jairo Charris Seminar in Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics, which was held at the Universidad Sergio Arboleda in Santa Marta, Colombia. The papers cover the fields of Supersymmetric Quantum Mechanics and Quantum Integrable Systems, from an algebraic point of view. Some results presented in this volume correspond to the analysis of Darboux Transformations in higher order as well as some exceptional orthogonal polynomials. The reader will find an interesting Galois approach to study finite gap potentials. This book is published in cooperation with Instituto de Matematicas y sus Aplicaciones (IMA).


Book Synopsis Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics by : Primitivo B. Acosta Humanez

Download or read book Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics written by Primitivo B. Acosta Humanez and published by American Mathematical Soc.. This book was released on 2012 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the 2010 Jairo Charris Seminar in Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics, which was held at the Universidad Sergio Arboleda in Santa Marta, Colombia. The papers cover the fields of Supersymmetric Quantum Mechanics and Quantum Integrable Systems, from an algebraic point of view. Some results presented in this volume correspond to the analysis of Darboux Transformations in higher order as well as some exceptional orthogonal polynomials. The reader will find an interesting Galois approach to study finite gap potentials. This book is published in cooperation with Instituto de Matematicas y sus Aplicaciones (IMA).