On certain constructions of p-adic families of Siegel modular forms of even genus

Suppose that p > 5 is a rational prime. Starting from a well-known p-adic analytic family of ordinary elliptic cusp forms of level p due to Hida, we construct a certain p-adic analytic family of holomorphic Siegel cusp forms of arbitrary even genus and of level p associated with Hida's p-adic analytic family via the Duke-Imamoglu lifting provided by Ikeda. Moreover, we also give a similar results for the Siegel Eisenstein series of even genus with trivial Nebentypus

The Analysis of a Deviation of Investment and Corporate Governance

Investment of firms is affected by not only fundamentals factors, but liquidity constraint, ownership or corporate structure. Information structure between manager and owner is a significant factor to decide the level of investment, and deviation of investment from optimal condition. The reputation model between manager and owner suggest that the separate of ownership and management may induce the deviation of investment, and indicate that governance structure is important to reduce it. In this paper we estimate the deviation of investment using investment function, and investigate the relation of the derivation and ownership structure or corporate finance using data of Japanese listed firms. In empirical test the following results is induced. (i) The concentration of ownership reduces the deviation of investment. (ii) The deviation becomes smaller when main shareholder is government or individual. (iii) On the contrary it becomes larger when main shareholder is bank or foreign institution. These results suggested that the asymmetry of information between owner and manager bring the instability of investment, and bank system is not well functioned to solve the principal-agent problem to reduce the instability.Reputation, Startegic Communication, Investment

Constraint propagation in N+1-dimensional space-time

Higher dimensional space-time models provide us an alternative interpretation of nature, and give us different dynamical aspects than the traditional four-dimensional space-time models. Motivated by such recent interests, especially for future numerical research of higher-dimensional space-time, we study the dimensional dependence of constraint propagation behavior. The $N+1$ Arnowitt-Deser-Misner evolution equation has matter terms which depend on $N$, but the constraints and constraint propagation equations remain the same. This indicates that there would be problems with accuracy and stability when we directly apply the $N+1$ ADM formulation to numerical simulations as we have experienced in four-dimensional cases. However, we also conclude that previous efforts in re-formulating the Einstein equations can be applied if they are based on constraint propagation analysis.Comment: 4 pages, to appear in Gen. Rel. Gra