Absolutely Continuous Spectrum for the Anderson Model on Some Tree-like Graphs

We prove persistence of absolutely continuous spectrum for the Anderson model on a general class of tree-like graphs.Comment: Some clarifications were added in the introduction and an extra appendix was adde

A comment on "What catch data can tell us about the status of global fisheries"

There is considerable interest in the state of the world’s natural fishery resources. The paper by Froese et al. (2012) is a recent example of applying a set of ad hoc decision rules to a time series of catch data in order to assign the world’s fisheries to categories of exploitation and hence make generalisations about their current status. They conclude that the percentage of stocks that are over-exploited is worse than previously reported in FAO (2010). The approach used by Froese et al. is based on an algorithm proposed by Froese and Kesner-Reyes (2002) which has been heavily criticised both on theoretical grounds and from simulation studies (Branch et al. 2011; Daan et al. 2011; Wilberg and Miller 2007). In their recent paper, Froese et al. (2012) produce additional analyses to support their method which assumes that maximum sustainable yield (MSY) lies in the interval (0.5Cmax, Cmax), where Cmax is the maximum observed catch in the time series. Unfortunately, these analyses do not support their contention that MSY for a particular stock is related to maximum catch in a predictable way and renders their conclusions unsaf

Multiconfiguration Dirac-Hartree-Fock energy levels and transition probabilities for 3d^5 in Fe IV

Multiconfiguration Dirac-Hartree-Fock electric quadrupole (E2) and magnetic dipole (M1) transition probabilities are reported for transitions between levels of 3d^5 in [Fe IV]. The accuracy of the ab initio energy levels and the agreement in the length and velocity forms of the line strength for the E2 transitions are used as indicators of accuracy. The present E2 and M1 transition probabilities are compared with earlier Breit-Pauli results and other theories. An extensive set of transition probabilites with indicators of accuracy are reported in Appendices A and B. Recommended values of A(E2) + A(M1) are listed in Appendix C.Comment: 16 pages, three appendices containing accuracy indicators and recommended values for E2 and M1 transition rate

A cryogenic electrostatic ion trap and first experiments on delayed emission of aluminium anion clusters and self-bunching

The Cryogenic electrostatic Trap for Fast ion beams (CTF) has been successfully built, fulfilling the Cryogenic Storage Ring (CSR) project goals of developing and testing the technologies and concepts to build this instrumentally challenging device, and demonstrating rest-gas-densities on the order of 2000 particles/cm^3 (or a room-temperature equivalent pressure of 8x10^{-14} mbar) with mean storage lifetimes of over 5 min for 7.1 keV N_2^+ ions. Since this is the first cryogenic electrostatic ion beam trap (EIBT), the resulting environment of greatly reduced blackbody radiation was exploited by investigating the time dependence of delayed electron emission from aluminum cluster anions at different temperatures. Dramatic deviations from the commonly observed 1/t decay of hot clusters were observed, demonstrating this decay's dependence on the temperature of the storage environment. Delayed emission following the excitation of the aluminum clusters with a pulsed laser was also observed. The results indicate a considerable reduction in the cluster temperature than seen so far and raises questions about the validity of the present model. The very low rest gas densities achieved also enabled the exploration of many properties of self-bunching and RF bunching with unprecedented sensitivity. An in-situ mass-selection technique exploiting the resonant transverse excitation of the stored ions was also demonstrated inside an EIBT for the first time