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Statistical Physics and Network Theory as an Interdisciplinary Approach to Legislative Forecasting
The current field of American politics, particularly within the legislative branch, is considered highly polarized and signicantly inscrutable. In the face of this shifting political landscape, attempts to rigorously ...
Modeling Molecular Traffic: Theory, Simulations, and Potential Applications (thesis)
I present a traffic model inspired by the motion of molecular motors along microtubules, represented by particles moving along a one-dimensional track of variable length. As the particles move unidirectionally along the ...
An Introduction to Stochastic Self-Assembly: Theory, Simulation and Experimental Applications (thesis)
We introduce three stochastic cooperative models for particle deposition and evaporation relevant to ionic self-assembly of nanoparticles with applications in surface fabrication and nanomedicine. We present a method for ...
Analytical and Computational Study of Multi-temperature Kinetic Ising Models on Various Graphs (thesis)
We analyze a class of multi-temperature kinetic Ising models with Glauber dynamics on both one-dimensional lattices and Cayley Trees, focusing on the overall and sublattice magnetizations. Expectation values for one-dimensional ...
Directed Self-Assembly: A Study of the Effect of Electric Fields on Silica Monolayers (thesis)
In this thesis, we describe, analyze, and extend ionic self-assembly of monolayers (ISAM), a bottom-up nanostructure production technique designed to coat surfaces in uniform layers of charged nanoparticles. Using mean ...
Square Wave Optimization in Vertical-Cavity Surface-Emitting Lasers Subjected to Polarization-Rotated Optical Feedback (thesis)
I experimentally study the dynamics of vertical-cavity surface-emitting lasers (VCSELs) with polarization-rotated optical feedback. This type of semiconductor laser naturally emits linearly-polarized light and can elicit ...
Stochastic Models for mRNA Transcription (thesis)
Gene regulation is essential for the diversity and maintenance of life. The first step in protein production, and therefore the first step in gene regulation activities, is transcription. This thesis will outline and analyze ...
Is Detection of Colon Motility Waves Possible?: An Investigation of Two Spatial Filtering Techniques with Electrocolonography (EcolG) (thesis)
Electrocolonography (EcolG) is the study of colon motor activity via non-invasive, body surface electrical recordings, analogous to electrocardiography (ECG) for study of cardiac motor activity. EcolG was very recently ...
The Fabrication of Antireflective Coatings by the Self-Assembly of Silica Nanopartical and Polycation Bilayers (thesis)
This study examines several factors that affect the quality of antireflective coatings
created by the self-assembly of alternating layers of silica (SiOz) nanoparticles an poly(allylamine hydrochloride) or poly(diallyld ...
A Study of Simple Non-Equilibrium Statistical Physics Models: Molecular Motors and Traffic Jams (thesis)
Traditionally, the objective of science has been to understand the fundamental simplicity and
elegance of the laws of nature. The advancement of the human race has for a long time been
predicated on the scientific discovery ...