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To what extent does the spectrum of the Laplacian operator on a domain D with prescribed boundary conditions determine its shape? This paper first retraces the history of this problem, then Kac’s approach in terms of a diffusion process with absorbing boundary conditions. It is shown how the restriction to a polygonal boundary for D in this method, which required taking the limit of an infinite number...
The tactical edge network emulation tool (TENET) hardware integration system (THIS) is designed to characterize higher layer responses to the dynamic physical layer topology of a tactical network utilizing directional communication links. THIS emulates the mobile, tactical, network environment using the hardware in a static infrastructure. MATLAB-based tools implement the TENET emulation to simulate...
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