We consider asset allocation strategies for the case where an investor can allocate his wealth dynamically between a risky stock, whose price evolves according to a geometric Brownian motion, and a risky bond, whose price is subject to negative jumps due to its credit risk and therefore has discontinuous sample paths+We derive optimal policies for a number of objectives related to growth+ In pa...

When a chemical bond is broken in a direct dissociation reaction, the process is so rapid that it has generally been considered instantaneous and thus unmeasurable. However, the bond does persist for times on the order of 10(-13) seconds after the photon has been absorbed. Femtosecond (10(-15) second) laser techniques can be used to directly clock this process, which describes the dynamics of t...

Surface physical changes (disorder and/or damage) due to femtosecond pulsed laser irradiation are observed in a new regime of extremely low laser fluence (,1023 of the single shot damage fluence) and large number of laser shots (.1010). No bulk damage was detected. The surface disorder is reversible by thermal annealing at 580 ±C. We propose a new mechanism for femtosecond laser-induced surface...

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. Using a simple approximation, we develop an electronic structure theory that combines a new local correlation energy (based on Monte Carlo calculations applied to the homogeneous electron gas) and a ...

Complexes [Ce(NR(2))(3)] (1) or [Ce(NR''(2))(3)] (2) were cerium(III) precursors to the X-ray characterised crystalline oligomeric oxygen-containing amidocerium(IV) compounds [{Ce(NR(2))(2)(mu-O)}(n)] (3, n = 2; 4, n = 3), [{Ce(NR''(2))(2)(mu-O)}(4)] (5), [{(R(2)N)(3)Ce}(2)(mu-[upper bond 1 start]OMOM[upper bond 1 end])] (6, M = Na; 7, M = K), [{(R(2)N)(3)CeOCe(NR(2))(2)}(2)(mu-[upper bond 1 st...

Transition state theory (TST) provides a simple interpretation of many thermally activated processes. It applies successfully on timescales and length scales that differ several orders of magnitude: to chemical reactions, breaking of chemical bonds, unfolding of proteins and RNA structures and polymers crossing entropic barriers. Here we apply TST to out-of-equilibrium transport through confine...

s From The 2012 Meeting Of The Association Of Surgeons In Training

Electrical interactions between molecular vibrations can be non-linear and thereby produce intermolecular coupling even in the absence of a chemical bond. We use this fact to detect the formation of an intermolecular complex using electron-vibration-vibration two-dimensional infrared spectroscopy (EVV 2DIR) and also to determine the distance and angle between the two molecular species.

bonding brackets to the enamel surface has gained much popularity today. new adhesive systems have been introduced and marketed and a considerable increase in research regarding bond strength has been published. a considerable amount of these studies deal with shear bond strength of adhesives designed for orthodontic purpose. previous studies have used variety of test designs. this diversity in...

We explore the rating system used by credit agencies with a focus on problems that justify the use of fuzzy set theory. We prove that a fuzzy market is viable if and only if an equivalent martingale measure exists, from which we construct the forward probability measure and under which the discounted price of a default-free bond is a martingale. We model the evolution of credit migration of a d...