This dissertation proposes a theory that views beats as probabilistic domains that I term “pockets,” taking a vernacular term commonly used by jazz, funk, and popular music performers to describe the state of being in a good groove and making it concrete through empirical methods. Pockets have three key properties:...
A framework is developed that models point defect diffusion and interaction with pre-existing microstructures during irradiation, including defect-defect interactions and defect sinks. This framework uses a modified diffusion potential that includes not only defect concentration, but also intrinsic stresses from the pre-existing microstructure. Various microstructures are studied in {Fe} by...
The ubiquitous role of water in biochemical, electrochemical, and geochemical systems has driven scientific interest in studying the fundamental hydrogen-bonding interactions that water molecules exhibit in the presence of different materials.Specifically, we focus on the interactions characterizing water at the interface between two bulk media, as these are essential to...
The highly flexible nature of 2D materials has led to them becoming fundamental building blocks for achieving novel device physics and potential breakthroughs in practical technologies. 2D layers can be interfaced in a wide array of methods with themselves, other 2D layered materials, or materials of entirely different type or...
Metal halide perovskites have recently emerged as one of the most promising active layers in solar cells for their high power conversion efficiency (>25%) and ease of synthesis and deposition. Spatial heterogeneity is inevitable with current fabrication methods for both monocrystalline and polycrystalline perovskite thin films and crystals. The morphology-dependent...
Molybdenum oxides and sulfides are earth-abundant materials known to catalyze a wide array of reactions, including dehydrogenation, hydrotreating, and higher alcohols synthesis. In particular, alkane and alcohol dehydrogenation are of interest given recent shifts in the energy landscape away from traditional petroleum feedstocks and towards natural gas and renewable energy...
In this thesis, we study the homological mirror symmetry for the Gross-Siebert program of local mirror symmetry. We construct a pair of mirror objects by lifting a tropical curve in the integral tropical manifold of the Gross-Siebert program. Furthermore, we evaluate the central charges of the mirror objects and show...
The leptonic and inclusive hadronic decay branching fractions of the W boson are studied using 35.9 $fb^{-1}$ of proton-proton collision data collected at $\sqrt{s}=13~TeV$ during the 2016 run of the CMS experiment. Events characterized by the production of pairs of W bosons from \ttbar and \tW processes are selected. Multiple...
In this thesis, we aim to develop efficient algorithms with theoretical guarantees for noisy nonlinear optimization problems, with and without constraints, under various different assumptions. Apart from Chapter 1 which provides relevant backgrounds, the remaining of thesis is divided into four chapters. In Chapter 2, we establish the theoretical convergence...
Materials that exist as well-defined individual entities at the nanoscale typically have properties that sets them apart from their bulk form. Consequently, there has been much time and effort invested in developing new well-defined nanoscale entities, but few attempts to assemble them into bulk materials. On the other hand, there...