Inverse Demand Systems for Composite Liquid Assets: Evidence from China

This paper applies the concept of inverse demands and its related scale and substitution effects to model the demand for liquid assets in China. We also propose a new model, termed the Modified Almost Ideal Inverse Demand System (MAIIDS), which nests the Almost Ideal Inverse Demand System (AIIDS) as a special case. We estimate this new model and its special case by using Chinese panel data and find it statistically superior to the AIIDS. Results also reveal the improved regularity features of the MAIIDS, and show that demand patterns of liquid assets across different income groups in China are distinctive.AIIDS; MAIIDS; Regularity; Liquid assets.

Non-existence of multiple-black-hole solutions close to Kerr-Newman

We show that a stationary asymptotically flat electro-vacuum solution of Einstein's equations that is everywhere locally "almost isometric" to a Kerr-Newman solution cannot admit more than one event horizon. Axial symmetry is not assumed. In particular this implies that the assumption of a single event horizon in Alexakis-Ionescu-Klainerman's proof of perturbative uniqueness of Kerr black holes is in fact unnecessary.Comment: Version 2: improved presentation; no changes to the result. Version 3: corrected an oversight in the historical review. Version 4: version accepted for publicatio

Heterogeneous aggregation in binary colloidal alloys

Molecular dynamics (MD) simulation has been employed to study the nonequilibrium structure formation of two types of particles in a colloidal suspension, driven by type-dependent forces. We examined the time evolution of structure formation as well as the structural properties of the resulting aggregation by studying the radial distribution function (RDF). The resulting aggregation is well described by a binary colloidal gelation. We compared the structural properties to those for one type of particles. From the MD results, it is evident that there are significant differences between the RDF's of the two cases. Moreover, we found that the average coordination number is generally larger in the monodisperse case for all area fractions considered. Thus, by means of heterogeneous aggregation, it is possible to obtain a wide variety of structures while more close-packed structures are formed for monodisperse colloidal aggregation.Comment: 15 pages, 5 eps figures; preliminary results have been reported at the APS March Meeting 2002; accepted by Physica