4,652 research outputs found
Central Limit Theorems for Supercritical Superprocesses
In this paper, we establish a central limit theorem for a large class of
general supercritical superprocesses with spatially dependent branching
mechanisms satisfying a second moment condition. This central limit theorem
generalizes and unifies all the central limit theorems obtained recently in
Mi{\l}o\'{s} (2012, arXiv:1203:6661) and Ren, Song and Zhang (2013, to appear
in Acta Appl. Math., DOI 10.1007/s10440-013-9837-0) for supercritical super
Ornstein-Uhlenbeck processes. The advantage of this central limit theorem is
that it allows us to characterize the limit Gaussian field. In the case of
supercritical super Ornstein-Uhlenbeck processes with non-spatially dependent
branching mechanisms, our central limit theorem reveals more independent
structures of the limit Gaussian field
Central Limit Theorems for Super-OU Processes
In this paper we study supercritical super-OU processes with general
branching mechanisms satisfying a second moment condition. We establish central
limit theorems for the super-OU processes. In the small and crtical branching
rate cases, our central limit theorems sharpen the corresponding results in the
recent preprint of Milos in that the limit normal random variables in our
central limit theorems are non-degenerate. Our central limit theorems in the
large branching rate case are completely new. The main tool of the paper is the
so called "backbone decomposition" of superprocesses
VNC Service on Bluetooth Wireless Network
With characteristics such as small size, low weight and low power consumption, Bluetooth wireless technology provides efficient communication ability for pocket size devices, for which power consumption is critical. Built-in security features may serve as substitute for application level security. Bluetooth Service Discovery Protocol (SDP) provides information of availability and characteristics of services in the RF proximity. In this work, a VNC service is set up for Bluetooth wireless network and performance tests are made. A VNC server provides virtual consoles for VNC clients across different platforms. VNC has little computing power requirement on client side, fitting the profiles of most Bluetooth devices. Access can be limited to a particular window and its children windows; the function of the particular window can be advertised with SDP. The use of VNC is extended from a remote console only to a platform for services in general
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