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Full-Text Articles in Physical Sciences and Mathematics
Stability And Application Of The K-Core Dynamical Model To Biological Networks, Francesca Beatrice Arese Lucini
Stability And Application Of The K-Core Dynamical Model To Biological Networks, Francesca Beatrice Arese Lucini
Dissertations, Theses, and Capstone Projects
The objective of the dissertation is to illustrate the importance of the k-core dynamical model, by first presenting the stability analysis of the nonlinear k-core model and compare its solution to the most widely used linear model. Second, I show a real world application of the k-core model to describe properties of neural networks, specifically, the transition from conscious to subliminal perception.
Pseudo Power Law Statistics In A Jammed, Amorphous Solid, Jacob Brian Hass
Pseudo Power Law Statistics In A Jammed, Amorphous Solid, Jacob Brian Hass
Physics
Simulations have shown that in many solid materials, rearrangements within the solid obey power-law statistics. A connection has been proposed between these statistics and the ability of a system to reach a limit cycle under cyclic driving. We study experimentally a 2D jammed solid that reaches such a limit cycle. Our solid consists of microscopic plastic beads adsorbed at an oil-water interface and cyclically sheared by a magnetically driven needle. We track each particles trajectory in the solid to identify rearrangements. By associating particles both spatially and temporally, we can measure the extent of each rearrangement. We study specifically the …
Probability Density Functions For Snir In Ds-Cdma, David W. Matolak
Probability Density Functions For Snir In Ds-Cdma, David W. Matolak
Faculty Publications
Analytical expressions for the probability density function of block-wise signal-to-noise-plus-interference ratio for both synchronous and asynchronous direct-sequence spread spectrum code-division multiple access systems are developed, for equal average energy signals on the Gaussian and Rayleigh flat fading channels. Using the standard Gaussian approximation for multi-user interference, accurate density approximations are obtained, which agree very well with computer simulation results.