Browsing by FAS Department "Engineering and Applied Sciences - Applied Math"
Now showing items 1-15 of 15
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Complexity Reduction for Near Real-Time High Dimensional Filtering and Estimation Applied to Biological Signals
(2016-05-20)Real-time processing of physiological signals collected from wearable sensors that can be done with low computational power is a requirement for continuous health monitoring. Such processing involves identifying underlying ... -
Discoveries in Phononic Crystals and Acoustic Metamaterials
(2015-10-13)Phononic crystals and acoustic metamaterials are heterogeneous materials that enable manipulation of elastic waves. An important characteristic of these heterogeneous systems is their ability to tailor the propagation of ... -
Distributed Optimization Methods for Monitoring and Operating Electric Power Systems
(2017-05-05)Increasing power demands, aging infrastructure, and growth in renewable energy production necessitate new strategies for grid operations. To achieve reliable operations in this setting, it is important to shift away from ... -
Embracing Compliance and Instabilities to Achieve Function in Mechanical Metamaterials and Devices
(2016-04-26)The use of soft materials has led to the development of soft devices that have the potential to be more robust, adaptable, and safer for human interaction than traditional rigid systems. State-of-the-art developments push ... -
Geophysics From Small to Big Data
(2017-04-18)In this thesis, I focus on the induced seismicity and glaciology topics. The amount of data available to support my models varies from non-existent (chapter 2) to massive (chapter 5). Central United States, a tectonically ... -
High-SNR Capacity of AWGN Channels With Generic Alphabet Constraints
(2017-01-26)We present a generalized notion of entropy taken with respect to a measure in a coordinate-independent manner and prove several novel entropy convergence theorems. A particular focus is entropy of random variables on smooth ... -
Mathematical Models for Guiding Pneumatic Soft Actuator Design
(2018-05-11)Soft actuators are the components responsible for producing motion in soft robots. Although soft actuators have facilitated a variety of innovative applications of soft robots, there is a need for design tools that can ... -
Mechanics of Glacier Hydrology
(2017-08-31)Liquid water exists throughout the glacier system. At the surface of glaciers and ice sheets, liquid water is produced when the seasonal surface energy forcing warms the ice above its melting temperature. This meltwater ... -
A Non-Parametric Perspective on the Analysis of Massive Networks
(2015-05-15)This dissertation develops an inferential framework for a highly non-parametric class of network models called graphons, which are the limit objects of converging sequences in the theory of dense graph limits. The theory, ... -
Past and Future Climate Variability: Extremes, Scaling, and Dynamics
(2015-05-05)Severe impacts result from extreme events such as heat waves, droughts, cold spells, and floods. Characterizing and predicting variations in climate that give rise to these phenomena is important for mitigating their effects ... -
Quantitative Methods for Analyzing Structure in Genomes, Self-Assembly, and Random Matrices
(2016-05-20)This dissertation presents my graduate work analyzing biological structure. My research spans three different areas, which I discuss in turn. First I present my work studying how the genome folds. The three-dimensional ... -
Shining Light on Microtubule Nucleation: FRET Measurements With Bayesian Analysis of FLIM
(2017-05-09)The mitotic spindle is a self-organizing structure that segregates chromosomes during cell division. The spindle is composed of microtubules and accessory proteins, and microtubules are composed of the protein tubulin. ... -
Some New Constructions and Bounds for Locally Generated Quantum Codes
(2018-05-13)The existence of quantum locally generated codes is a long standing open problem in quantum information theory. In this thesis, we consider a bound concerning this conjecture as well as a few constructions with codes that ... -
Stochastic Models of Evolutionary Dynamics
(2018-05-11)Stochasticity is a fundamental component of evolution. Many essential evolutionary phenomena cannot be modeled without it. In developing and analyzing stochastic processes that model the dynamics of evolution, this ... -
Theory, Modeling, and Impact of the Sea Ice Floe Size Distribution
(2017-05-15)This dissertation explores the evolution of floes, the individual pieces that comprise Earth's sea ice cover, from the perspective of the local and regional climatic evolution of Earth's polar areas. Each individual floe ...