### by an NSERC Discovery Grant.

, 2014

"... We study Ginzburg–Landau equations for a complex vector order parameter Ψ = (ψ+, ψ−) ∈ C2. We consider the Dirichlet problem in the disk in R2 with a symmetric, degree-one boundary condition, and study its stability, in the sense of the spectrum of the second variation of the energy. We find that t ..."

Abstract
- Add to MetaCart

We study Ginzburg–Landau equations for

*a*complex vector order parameter Ψ = (ψ+, ψ−) ∈*C**2*. We consider the Dirichlet problem in the disk in R*2*with*a*symmetric, degree-one boundary condition, and study its stability, in the sense of the spectrum of the second variation of the energy. We find###
*A* Dyson-Schwinger study of the four-gluon vertex

"... Abstract: We present a self-consistent calculation of the four-gluon vertex of Landau gauge Yang-Mills theory from a truncated Dyson-Schwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from previous ..."

Abstract
- Add to MetaCart

Abstract: We present

*a*self-consistent calculation of the four-gluon vertex of Landau gauge Yang-Mills theory from*a*truncated Dyson-Schwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from### Contents

"... We examine the late time behavior of the Bunch-Davies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the Bunch-Davies wavefunction. We ..."

Abstract
- Add to MetaCart

We examine the late time behavior of the Bunch-Davies wavefunction for interacting light fields in

*a*de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the Bunch-Davies wavefunction### AGR 05

"... Responses of soil biological processes to elevated atmospheric [CO2] and nitrogen addition in a poplar plantation ..."

Abstract
- Add to MetaCart

Responses of soil biological processes to elevated atmospheric [CO

*2*] and nitrogen addition in*a*poplar plantation### ~'0~LEVEL____ SIGNAL RECONSTRUCTION AFTER NOISY NONLINEAR TRANSFORMATIONS,,

"... A deterministic signal s in zero mean Gauss an se N isoberve through a zero memory nonlinearity f(x). The reconstruction of the sig-nal is considered when the nonlinearity, the noise covariance and the first or second order moments of the output process f[s+N] are known. Arbitrary signals can be rec ..."

Abstract
- Add to MetaCart

be reconstructed for monotonic and certain odd, not necessarily monotonic, nonlinearities; included here are hard limiters, quantiiers and infinite interval windows. Arbitrary signals can be re-constructed, up to

*a*global sign, for two distinct classes of even non-linearities; included here are*2*v-th law devices###
1Robust *M*-Estimation for Heavy Tailed Nonlinear AR-GARCH (with Supplemental Appendix *C*)

, 2011

"... We develop new tail-trimmed M-estimation methods for heavy tailed Nonlinear AR-GARCH models. Tail-trimming allows both identi…cation of the true parameter and asymptotic normality for nonlinear models with asymmetric errors. In heavy tailed cases the rate of convergence is in…nitesimally close to th ..."

Abstract
- Add to MetaCart

to the highest possible amongst

*M*-estimators for*a*particular loss function, hence super- 12-convergence can be achieved in nonlinear AR models with in…nite variance errors, and arbitrarily near 12-convergence for GARCH with errors that have an in…nite fourth moment. We present*a*consistent estimator###
Robust *M*-Estimation for Heavy Tailed Nonlinear AR-GARCH (with Supplemental Appendix *C*)

, 2011

"... All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."

Abstract
- Add to MetaCart

All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.

###
UNITU–THEP–*3*/1998 FAU–TP*3–98/2* Solving *a* Coupled Set of Truncated QCD Dyson–Schwinger Equations

, 1998

"... Truncated Dyson–Schwinger equations represent finite subsets of the equations of motion for Green’s functions. Solutions to these non–linear integral equations can account for non–perturbative correlations. A closed set of coupled Dyson–Schwinger equations for the propagators of gluons and ghosts in ..."

Abstract
- Add to MetaCart

Truncated Dyson–Schwinger equations represent finite subsets of the equations of motion for Green’s functions. Solutions to these non–linear integral equations can account for non–perturbative correlations.

*A*closed set of coupled Dyson–Schwinger equations for the propagators of gluons and ghosts###
i *A* TRANSIENT COMPUTATIONAL FLUID DYNAMIC STUDY OF *A* LABORATORY-SCALE FLUORINE

"... Fluorine gas is produced industrially by electrolysing hydrogen fluoride in a potassium acid fluoride electrolyte. Fluorine is produced at the carbon anode, while hydrogen is produced at the mild-steel cathode. The fluorine produced has a wide range of uses, most notably in the nuclear industry wher ..."

Abstract
- Add to MetaCart

is to construct

*a*model that can accurately predict the physical processes involved in the production of fluorine gas. The results of the simulation will be compared to experimental results from*tests*done on*a*lab-scale reactor.*A*good correlation