Abstract A Synchronous Photometry Data Extraction (SPDE) program, performing indiscriminate monitoring of all stars appearing in the same field view an astronomical image, is developed by integrating several Astropy affiliated packages to make full use time series observed traditional small/medium aperture ground-based telescopes. The complete full-frame stellar photometry data reductions imple...

We determine sufficient conditions on the volatility coefficient of Musiela’s stochastic partial differential equation driven by an infinite dimensional Lévy process so that it admits a unique local mild solution in spaces of functions whose first derivative is square integrable with respect to a weight. 2000 Mathematics Subject Classification: 60G51, 60H15, 91B28.

Most mathematical models contain uncertainties that may be originated from various sources such as initial and boundary conditions, geometry representation of the domain and input parameters. When these sources are expressed as random processes or random fields, partial differential equations describing the underlying models become stochastic partial differential equations (SPDEs). Stochastic m...

Mueller and Tribe [32] have shown that rescaled long-range voter models in onedimension converge to a Wright-Fisher SPDE, also known as a stochastic FisherKolmogorov-Petrovskii-Piscounov (FKPP) wave. Recently Hallatschek and Nelson [20] have described the asymptotic behavior of genealogies in a closely related model. Their answer is expressed in terms of a diffusion in a very singular random en...

Perturbations to Markov chains and Markov processes are considered. The unperturbed problem is assumed to be geometrically ergodic in the sense usually established through the use of Foster–Lyapunov drift conditions. The perturbations are assumed to be uniform, in a weak sense, on bounded time intervals. The long-time behavior of the perturbed chain is studied. Applications are given to numeric...