Flag structure for operators in the Cowen-Douglas class

The explicit description of homogeneous operators and localization of a Hilbert module naturally leads to the definition of a class of Cowen-Douglas operators possessing a flag structure. These operators are irreducible. We show that the flag structure is rigid in the sense that the unitary equivalence class of the operator and the flag structure determine each other. We obtain a complete set of unitary invariants which are somewhat more tractable than those of an arbitrary operator in the Cowen-Douglas class.Comment: Announcement, 6 page

Clustering algorithm in initialization of multi-hop wireless sensor networks

In most application scenarios of wireless sensor networks (WSN), sensor nodes are usually deployed randomly and do not have any knowledge about the network environment or even their ID's at the initial stage of their operations. In this paper, we address the clustering problems with a newly deployed multi-hop WSN where most existing clustering algorithms can hardly be used due to the absence of MAC link connections among the nodes. We propose an effective clustering algorithm based on a random contention model without the prior knowledge of the network and the ID's of nodes. Computer simulations have been used to show the effectiveness of the algorithm with a relatively low complexity if compared with existing schemes

An Empirical Study on Listed Companies Merger Synergies

AbstractM&A is not only playing an important role in optimizing the allocation of resources and promoting the economic development, but also is important component of enterprise external growth. Synergy is not only the significant reason of M&A; at the same time, it is an essential measure standard of success or failure. This paper argues that the internal measurement model and abnormal returns methodology to measure are all not adapted to our special economic environment; therefore, this paper sets up the measurement model of synergistic effect based on financial index of accounting methods, and the M&A events from 2004 to 2006 in China was listed for the inspection analysis of the synergistic effect. Finally, based on the empirical results relevant suggestions were put forward