86 research outputs found
A Merton Model of Credit Risk with Jumps
In this note, we consider a Merton model for default risk, where the firm’s value is driven by a Brownian motion and a compound Poisson process
THE SL<sub>3</sub> COLORED JONES POLYNOMIAL OF THE TREFOIL
Rosso and Jones gave a formula for the colored Jones polynomial of a torus
knot, colored by an irreducible representation of a simple Lie algebra. The
Rosso-Jones formula involves a plethysm function, unknown in general. We
provide an explicit formula for the second plethysm of an arbitrary
representation of \fsl_3, which allows us to give an explicit formula for the
colored Jones polynomial of the trefoil, and more generally, for T(2,n) torus
knots. We give two independent proofs of our plethysm formula, one of which
uses the work of Carini-Remmel. Our formula for the \fsl_3 colored Jones
polynomial of T(2,n) torus knots allows us to verify the Degree Conjecture for
those knots, to efficiently the \fsl_3 Witten-Reshetikhin-Turaev invariants
of the Poincare sphere, and to guess a Groebner basis for recursion ideal of
the \fsl_3 colored Jones polynomial of the trefoil
The debates and the long-awaited reform
Trung Tran, Phuong-Thao T. Trinh, Thu-Trang Vuong, Hiep-Hung Pham (2019). Chapter 1. The debates and the long-awaited reform. In Quan-Hoang Vuong, Trung Tran (Eds.), The Vietnamese Social Sciences at a Fork in the Road (pp. 17–32). Warsaw, Poland: De Gruyter / Sciendo. DOI:10.2478/9783110686081-006
Online ISBN: 9783110686081
© 2019 De Gruyter / Sciend
Three essays on liquidity creation
This dissertation investigates comprehensive dimensions surrounding liquidity creation, a vital role of banks in the economy. It offers important strategy recommendations for bank executives on bank liquidity risk management and policy recommendations contributing to the ongoing debate regarding Basel III reforms for liquidity, capital requirements, and deregulation.<br /
The question of quality
Phuong-Thao T. Trinh, Thu-Hien T. Le, Thu-Trang Vuong, Phuong-Hanh Hoang (2019). Chapter 6. The question of quality. In Quan-Hoang Vuong, Trung Tran (Eds.), The Vietnamese Social Sciences at a Fork in the Road (pp. 121–142). Warsaw, Poland: De Gruyter. DOI:10.2478/9783110686081-011.
Online ISBN: 9783110686081
© 2019 Sciendo / De Gruyte
Synthesis and characterization of curcumin-phosphatidylcholine complex via solution enhanced dispersion by supercritical CO2
In order to enhance the bioavailability of poorly water-soluble curcumin, solution enhanced dispersion by supercritical carbon dioxide (CO2) (SEDS) was employed to prepare curcumin-phosphatidyl choline complex. The reaction parameters were varied and investigated. The typical parameters were determined as follow: P = 200 bar, T = 60 °C, gas flow rate 10 mL.min-1, molar ratio of phosphatidylcholine:curcumin 2:1, ratio of dichloromethane/scCO2 15 % (w/w). The characteristics of complexation product were measured such as the water solubility, natural stability, UV-Vis, FTIR and DSC. The FE-SEM image shows that curcumin-phosphatidylcholine complex appeared in two types of spherical shape with the big particle size of  complex approximately 0.9 µm and nano curcumin with particles size of approximately 100 nm. This study revealed that supercritical CO2 technologies had a great potential in fabricating complex and improving the bioavailability of poorly water-soluble drugs. Keywords. Curcumin, water soluble curcumin, phosphatidylcholine, CO2 supercritical fluids
Synthesis of new alkoxy substituted 4-piperidinobenzylidene malononitrile (PDCST) nonlinear optical chromophores
The new alkoxy-substituted 4-piperidinobenzylidene malononitrile (PDCST) nonlinear optical chromophores were synthesized for investigation into substitutional effect on electrooptic properties and response time. The concise four-step procedure afforded PDCST skeleton with various alkoxy-substituted groups such as methoxy, ethoxy and isobutoxy. Structures were confirmed by H, C-NMR and EI-MS spectroscopic analysis. Keywords. Nonlinear optical chromophores, 4-piperidinobenzylidene malononitrile (PDCST), bromination; formylation; Buchwald-Hartwing, Knoevenagel condensation
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