Template-Based Geometric Simulation of Flexible Frameworks
Specialised modelling and simulation methods implementing simplified physical models are valuable generators of insight. Template-based geometric simulation is a specialised method for modelling flexible framework structures made up of rigid units. We review the background, development and implementation of the method, and its applications to the study of framework materials such as zeolites and perovskites. The “flexibility window” property of zeolite frameworks is a particularly significant discovery made using geometric simulation. Software implementing geometric simulation of framework materials, “GASP”, is freely available to researchers.
We prove that a discrete series representations of metaplectic group over a non-archimedean local eld has a generic theta lift on the split odd orthogonal tower if and only if it is generic. Also, we determine the rst occurrence indices of such representations and describe the structure of their theta lifts.