Publications - 2007

A likelihood approach to estimating sensitivity and specificity for binocular diagnostic data: Application in ophthalmology

An Introduction to Cryptography--Second Edition

From the Preface: * Includes items of contemporary interest, such as electronic mail and Internet security, as well as cutting-edge applications, including network security, biometrics, and smart cards *Discusses symmetric and public-key cryptosystems, the digital signature standard, and DES (via S-DES) *Covers Internet security issues, including identity theft, fraud, and financial data theft *Examines the human side of cryptography with nearly sixty mini-biographies. Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field. With numerous additions and restructured material, this edition presents the ideas behind cryptography and the applications of the subject. The first chapter provides a thorough treatment of the mathematics necessary to understand cryptography, including number theory and complexity, while the second chapter discusses cryptographic fundamentals, such as ciphers, linear feedback shift registers, modes of operation, and attacks. The next several chapters discuss DES, AES, public-key cryptography, primality testing, and various factoring methods, from classical to elliptical curves. The final chapters are comprised of issues pertaining to the Internet, such as pretty good privacy (PGP), protocol layers, firewalls, and cookies. As well, it includes applications such as login and network security, viruses, smart cards, and biometrics. The book concludes with appendices on mathematical data, computer arithmetic, the Rijndael S-Box, knapsack ciphers, the Silver-Pohlig-Hellman algorithm, the SHA-1 algorithm, radix-64 encoding, and quantum cryptography.

A partial proof of the Erdos-Szekeres Conjecture for hexagons

A stabilization criterion for matrices.

Ball-polyhedra

Block LU factors of generalized companion matrix pencils

Characterizations of conditional comonotonicity

Decompositions, partitions, and coverings with convex polygons and pseudo-triangles

Determinants of airborne concentrations of volatile organic compounds in rural areas of Western Canada

Divisibility of countable metric spaces

Entanglement transformations using separable operations

Filtration Shrinkage by level-crossings of diffusion

General mixed-data model: Extension of general location and grouped continuous models

Implementing UNITIS to Bridge Information Gaps

Incenter iterations in the Plane and on the Sphere

Information Reduction by level-crossings in a credit risk model

Inverse spectral problems for semi-simple damped vibrating systems.

Limit theorems for change-point detection in nonparametric regression models

M-estimators of scale with minimum gross errors sensitivity.

New non-linear inequalities for flag-vectors of 4-polytopes

On an ODE Model for Development to AIDS

On composite lognormal-Pareto models

On Estimating HIV in India-again

On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds

On Inference for a Semiparametric Partially Linear Regression Model with Serially Correlated Errors

On the relative distances of seven points in a plane convex body

Optimal allocation of policy limits and deductibles

Pointed binary encompassing trees: simple and optimal

Quasi-morphic rings

Remez type inequalities and Morrey-Campanato spaces on Ahlfors regular sets

Selfish load balancing and atomic congestion games

Some examples concerning left morphic elements in corner rings

The conjugate locus for the Euler top I. The axisymmetric case

The Urysohn sphere is oscillation stable (updated version).