Green Functions for the Wrong-Sign Quartic

It has been shown that the Schwinger-Dyson equations for non-Hermitian theories implicitly include the Hilbert-space metric. Approximate Green functions for such theories may thus be obtained, without having to evaluate the metric explicitly, by truncation of the equations. Such a calculation has recently been carried out for various $PT$-symmetric theories, in both quantum mechanics and quantum field theory, including the wrong-sign quartic oscillator. For this particular theory the metric is known in closed form, making possible an independent check of these approximate results. We do so by numerically evaluating the ground-state wave-function for the equivalent Hermitian Hamiltonian and using this wave-function, in conjunction with the metric operator, to calculate the one- and two-point Green functions. We find that the Green functions evaluated by lowest-order truncation of the Schwinger-Dyson equations are already accurate at the (6-8)% level. This provides a strong justification for the method and a motivation for its extension to higher order and to higher dimensions, where the calculation of the metric is extremely difficult

Hydrodynamics in a cocurrent gas-liquid trickle bed at elevated pressures

Data on design and operation of trickle beds at elevated pressures are scarce. In this study the influence of the gas density on the liquid holdup, the pressure drop, and the transition between trickle and pulse flow has been investigated in a tricklebed reactor operating up to 7.5 MPa and with nitrogen or helium as the gas phase. Gas-liquid interfacial areas have been determined up to 5.0 MPa by means of CO2 absorption from CO2/N2 gas mixtures into amine solutions. \ud A comparison of the results from nitrogen as the gas phase to those of helium shows that at equal gas densities the hydrodynamic states are the same. The gas-liquid interfacial area increases when operating at higher gas densities. When the determined dimensionless interfacial areas agl/as are all within the range 0.25-0.8, the trickle-bed reactor is suggested to operate in the trickle-flow regime. The gas density has a strong influence on the liquid holdup. Due to the higher pressure gradients at elevated gas densities, the liquid holdup decreases noticeably. Besides, the boundary between the trickle-flow and pulse-flow regime shifts toward higher liquid throughputs: the region for trickle-flow operationg becomes larger. For the liquid holdup and the pressure gradient in the trickle-flow regime, correlations derived based on dimensionless numbers can be applied to high-prssure trickle beds

Option Formulas for Mean-Reverting Power Prices with Spikes

Electricity prices are known to be very volatile and subject tofrequent jumps due to system breakdown, demand shocks, and inelasticsupply. Appropriate pricing, portfolio, and risk management modelsshould incorporate these spikes. We develop a framework to priceEuropean-style options that are consistent with the possibility ofmarket spikes. The pricing framework is based on a regime jump modelthat disentangles mean-reversion from the spikes. In the model thespikes are truly time-specific events and therefore independent fromthe mean-reverting price process. This closely resembles thecharacteristics of electricity prices, as we show with Dutch APX spotprice data in the period January 2001 till June 2002. Thanks to theindependence of the two price processes in the model, we breakderivative prices down in a mean-reverting value and a spike value. Weuse this result to show how the model can be made consistent withforward prices in the market and present closed-form formulas forEuropean-style options.mean reversion;electricity price modelling;energy markets;option pricing;power spikes

Ridge regression revisited

We argue in this paper that general ridge (GR) regression implies no major complication compared with simple ridge regression. We introduce a generalization of an explicit GR estimator derived by Hemmerle and by Teekens and de Boer and show that this estimator, which is more conservative, performs better than the Hoerl and Kennard estimator in terms of a weighted quadratic loss criterion.general ridge estimator;MSE performance

From Skews to a Skewed-t

In this paper we present a new methodology to infer the implied risk-neutral distribution function from European-style options. We introduce a skewed version of the Student-t distribution, whose main advantage is that its shape depends on only four parameters, of which two directly control for the levels of skewness and kurtosis. We can thus easily vary parameters to compare different distributions and use the parameters as inputs to price other options. We explain the method, provide some empirical results and compare them with the results of alternative models. The results indicate that our model provides a better fit to market prices of options than the Shimko or implied tree models, and has a lower computation time than most other models. We conclude that the skewed Student-t method provides a good alternative for European-style options.implied distribution;implied volatility;options;skewness;student-t

Victivallis vadensis gen. nov., sp. nov., a sugar-fermenting anaerobe from human faeces

A novel strictly anaerobic, cellobiose-degrading bacterium, strain Cello, was isolated from a human faecal sample by combining enrichments in liquid and soft-agar basal media. A noteworthy characteristic was its inability to grow on normal agar plates and in roll tubes. The cells were coccus shaped and non-motile, with an extracellular slime layer. Growth of strain Cello T occurred between 20 and 40 degreesC, with optimal growth at 37 degreesC. The pH range for growth was 5-7-5 with an optimum at 6-5. In pure culture, strain Cello T could only grow on a variety of sugars. Glucose was converted to acetate, ethanol and H-2. The doubling time on glucose was 0.5 h. In a syntrophic co-culture with Methanospirillum hungatei strain JF-1(T), strain Cello(T) converted glucose to acetate and H-2. The G+C content was 59.2 mol%. 16S rDNA analysis revealed that the closest relatives of strain Cello(T) were two uncultured bacteria from anaerobic digesters, both with 94% 16S rDNA sequence similarity. The closest cultured representatives belong to genera of the bacterial division 'Verrucomicrobia'. The name Victivallis vadensis gen. nov., sp. nov. is proposed for strain Cello(T) (=DSM 14823(T) =ATCC BAA-548(T))

Flux Compactifications of M-Theory on Twisted Tori

We find the bosonic sector of the gauged supergravities that are obtained from 11-dimensional supergravity by Scherk-Schwarz dimensional reduction with flux to any dimension D. We show that, if certain obstructions are absent, the Scherk-Schwarz ansatz for a finite set of D-dimensional fields can be extended to a full compactification of M-theory, including an infinite tower of Kaluza-Klein fields. The internal space is obtained from a group manifold (which may be non-compact) by a discrete identification. We discuss the symmetry algebra and the symmetry breaking patterns and illustrate these with particular examples. We discuss the action of U-duality on these theories in terms of symmetries of the D-dimensional supergravity, and argue that in general it will take geometric flux compactifications to M-theory on non-geometric backgrounds, such as U-folds with U-duality transition functions.Comment: Latex, 47 page

A New Exponential Gravity

We propose a new exponential f(R) gravity model with f(R)=(R-\lambda c)e^{\lambda(c/R)^n} and n>3, \lambda\geq 1, c>0 to explain late-time acceleration of the universe. At the high curvature region, the model behaves like the \LambdaCDM model. In the asymptotic future, it reaches a stable de-Sitter spacetime. It is a cosmologically viable model and can evade the local gravity constraints easily. This model share many features with other f(R) dark energy models like Hu-Sawicki model and Exponential gravity model. In it the dark energy equation of state is of an oscillating form and can cross phantom divide line \omega_{de}=-1. In particular, in the parameter range 3< n\leq 4, \lambda \sim 1, the model is most distinguishable from other models. For instance, when n=4, \lambda=1, the dark energy equation of state will cross -1 in the earlier future and has a stronger oscillating form than the other models, the dark energy density in asymptotical future is smaller than the one in the high curvature region. This new model can evade the local gravity tests easily when n>3 and \lambda>1.Comment: 12 pages, 8 figure