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Current Progress in Hyperbolic Systems: Riemann Problems and Computations
  • Language: en
  • Pages: 382

Current Progress in Hyperbolic Systems: Riemann Problems and Computations

Contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Current Progress in Hyperbolic Systems: Riemann Problems and Computations, held at Bowdoin College in July 1988.

Advanced REIT Portfolio Optimization
  • Language: en
  • Pages: 268

Advanced REIT Portfolio Optimization

This book provides an investor-friendly presentation of the premises and applications of the quantitative finance models governing investment in one asset class of publicly traded stocks, specifically real estate investment trusts (REITs). The models provide highly advanced analytics for REIT investment, including: portfolio optimization using both historic and predictive return estimation; model backtesting; a complete spectrum of risk assessment and management tools with an emphasis on early warning systems, risk budgeting, estimating tail risk, and factor analysis; derivative valuation; and incorporating ESG ratings into REIT investment. These quantitative finance models are presented in a unified framework consistent with dynamic asset pricing (rational finance). Given its scope and practical orientation, this book will appeal to investors interested in portfolio optimization and innovative tools for investment risk assessment.

Primes Associated to an Ideal
  • Language: en
  • Pages: 184

Primes Associated to an Ideal

Discusses five closely related sets of prime ideals associated to an ideal I in a Noetherian ring, the persistent, asymptotic, quintasymptotic, essential, and quintessential primes of I. Requires a standard year course in commutative ring theory. Annotation copyright Book News, Inc. Portland, Or.

Statistical Multiple Integration
  • Language: en
  • Pages: 290

Statistical Multiple Integration

High dimensional integration arises naturally in two major sub-fields of statistics: multivariate and Bayesian statistics. Indeed, the most common measures of central tendency, variation, and loss are defined by integrals over the sample space, the parameter space, or both. Recent advances in computational power have stimulated significant new advances in both Bayesian and classical multivariate statistics. In many statistical problems, however, multiple integration can be the major obstacle to solutions. This volume contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Statistical Multiple Integration, held in June 1989 at Humboldt State University in Arcata, California. The conference represents an attempt to bring together mathematicians, statisticians, and computational scientists to focus on the many important problems in statistical multiple integration. The papers document the state of the art in this area with respect to problems in statistics, potential advances blocked by problems with multiple integration, and current work directed at expanding the capability to integrate over high dimensional surfaces.

Finite Geometries and Combinatorial Designs
  • Language: en
  • Pages: 332

Finite Geometries and Combinatorial Designs

The proceedings of an AMS special session on finite geometries and combinatorial designs. Topics range over finite geometry, combinatorial designs, their automorphism groups and related structures.

Mathematics of Nonlinear Science
  • Language: en
  • Pages: 168

Mathematics of Nonlinear Science

Contains the proceedings of an AMS Special Session on the Mathematics of Nonlinear Science, held in Phoenix in January 1989. The area of research encompasses a large and rapidly growing set of ideas concerning the relationship of mathematics to science, in which the fundamental laws of nature are extended beyond common sense into new areas where the dual aspects of order and chaos abound.

Probability Theory and Its Applications in China
  • Language: en
  • Pages: 352

Probability Theory and Its Applications in China

Probability theory has always been an active field of research in China, but, until recently, almost all of this research was written in Chinese. This book contains surveys by some of China's leading probabilists, with a fairly complete coverage of theoretical probability and selective coverage of applied topics. The purpose of the book is to provide an account of the most significant results in probability obtained in China in the past few decades and to promote communication between probabilists in China and those in other countries. This collection will be of interest to graduate students and researchers in mathematics and probability theory, as well as to researchers in such areas as phy...

Harmonic Analysis and Partial Differential Equations
  • Language: en
  • Pages: 144

Harmonic Analysis and Partial Differential Equations

Illuminates the relationship between harmonic analysis and partial differential equations. This book covers topics such as application of fully nonlinear, uniformly elliptic equations to the Monge Ampere equation; and estimates for Green functions for the purpose of studying Dirichlet problems for operators in non-divergence form.

Mathematical Developments Arising from Linear Programming
  • Language: en
  • Pages: 360

Mathematical Developments Arising from Linear Programming

There has been much recent work in linear and non-linear programming centred on understanding and extending the ideas underlying Karmarkar's interior-point linear programming algorithm. This volume is the result of an AMS conference on mathematical developments arising from linear programming.

Vision Geometry
  • Language: en
  • Pages: 254

Vision Geometry

Since its genesis more than thirty-five years ago, the field of computer vision has been known by various names, including pattern recognitions, image analysis, and image understanding. The central problem of computer vision is obtaining descriptive information by computer analysis of images of a scene. Together with the related fields of image processing and computer graphics, it has become an established discipline at the interface between computer science and electrical engineering. This volume contains fourteen papers presented at the AMS Special Session on Geometry Related to Computer Vision, held in Hoboken, New Jersey in Ooctober 1989. This book makes the results presented at the Spec...