In large but finite populations, weak demographic stochasticity due to random birth and death events can lead to population extinction. The process is analogues to the escaping problem of trapped particles under random forces. Methods widely used in studying such physical systems, for instance, Wentzel-Kramers-Brillouin (WKB) and Fokker-Planck methods, can be applied to solve similar biological...

This work investigates structural wave propagation in waveguides with randomly varying properties along the axis of propagation, specifically when the properties vary slowly enough such that there is negligible backscattering. Wave-based methods are typically applied to homogeneous waveguides but the WKB (after Wentzel, Kramers and Brillouin) approximation can be used to find a suitable general...

Radio and near-infared observations towards the steep spectrum Galactic plane radio source WKB 0314+57.8 are presented, in order to clarify the nature of this source. The radio observations include archival and survey data, together with new Giant Metrewave Radio Telescope observations at 617 MHz. The near-infrared observations are in the J and K bands, from the Gemini instrument on the Shane 3...

The semiclassical method of torus quantization is just the first term of a certain h̄-expansion, usually called the WKB expansion. The method goes back to the early days of quantum mechanics and was developed by Bohr and Sommerfeld for onefreedom systems and separable systems, it was then generalized for integrable (but not necessarily separable) systems by Einstein [1], which is called EBK or t...