Publications - 2009

An accurate and efficient numerical method for solving Black-Scholes equation in option pricing

Asymptotic Normality for EMS Option Price Estimator with Continuous or Discontinuous Payoff Functions

Bayesian Method for Improving Logistic Regression Estimates under Group-based Exposure Assessment with Additive Measurement Errors

Characterization of D=P^2+Q^2 when gcd(P,Q)=1 and x^2-Dy^2=-1 has no integer solutions

Computation of genus 2 Hilbert-Siegel modular forms over Q(sqrt{5}) via the Jacquet-Langlands Correspondence

Cryptography and Shift Registers

Diagonalizable quadratic eigenvalue problems.

Distinguishing chromatic number of bipartite Graphs

Estimation of Q and phase velocity using the stress-strain relaxation spectrum, CREWES Research Report, Vol. 21, Chapter 76, p.1-14

Free subgroups of the group of formal power series and the center problem for ODEs

Holomorphic L^p functions on coverings of strongly pseudoconvex manifolds

Influence Measures for General Linear Models With Correlated Errors

Joint estimation of diagnostic accuracy measures for paired organs-Application in ophthalmology

Linearization of matrix polynomials expressed in polynomial bases

Local Influence in Multilevel Models

Motivic proof of a character formula for SL(2)

On minimal prime graphs and posets

On Multivariate Process Capability Indices using Principal Component Analysis

On t and EWMA t Charts for Monitoring Changes in the Process Mean

On the X-ray number of almost smooth convex bodies and of convex bodies of constant width

Ottawa Lectures on Admissible Representations of p-adic Groups

Ottawa Lectures on Admissible Representations of p-adic Groups offers researchers and graduate students a rare introduction to some of the major modern themes in the representation theory of p-adic groups: the classification and construction of their (complex) admissible representations; the calculation of their characters; and the realization of the celebrated local Langlands correspondence. Recent years have seen significant and rapid progress made toward each of these goals; the purpose of this book is to help bridge the gap from the classical literature to the forefront of research. The first part of this volume is devoted to the tools and techniques used to classify and construct smooth representations of p-adic groups: the Bernstein decomposition; Bruhat-Tits theory and filtrations of subgroups; and an overview of J.K. Yu''s construction of supercuspidal representations, together with J.-.L Kim''s proof of that it is exhaustive. The second part begins with an historical overview of character computations and continues with an introduction to motivic integration. The volume concludes, in the third part, with an introduction to the local Langlands programme and a proof of the local Langlands correspondence for algebraic tori. The chapters, written by leaders in this field, arose from lecture notes of mini-courses delivered at workshops held at the University of Ottawa in 2004 and 2007.

Partitions and Indivisibility Properties of Countable Dimensional Vector Spaces

Qualitative Models of Neural Activity and the Carleman Embedding Technique (2009)

Rayleigh quotient algorithms for nonsymmetric matrix pencils.

Representation of ideals of relational structures

Shortest billiard trajectories

Smoothness of radial solutions to Monge-Ampère equations

Sufficient conditions for the projective freeness of Banach algebras

The Rabinowitsch-Mollin-Williams Theorem Revisited