Physical Sciences and Mathematics Commons^™

Nuclear Structure Aspects Of Neutrinoless Double Beta Decay, B. Alex Brown, Mihai Horoi, Roman A. Sen′Kov

Publications and Research

We decompose the neutrinoless double-beta decay matrix elements into sums of products over the intermediate nucleus with two less nucleons. We find that the sum is dominated by the J^pi=0^+ ground state of this intermediate nucleus for both the light and heavy neutrino decay processes. This provides a new theoretical tool for comparing and improving nuclear structure models. It also provides the connection to two-nucleon transfer experiments.

Dynamics Of Propagation Of Premature Impulses In Structurally Remodeled Infarcted Myocardium: A Computational Analysis, Candido Cabo

Publications and Research

Initiation of cardiac arrhythmias typically follows one or more premature impulses either occurring spontaneously or applied externally. In this study, we characterize the dynamics of propagation of single (S2) and double premature impulses (S3), and the mechanisms of block of premature impulses at structural heterogeneities caused by remodeling of gap junctional conductance (Gj) in infarcted myocardium. Using a sub-cellular computer model of infarcted tissue, we found that |INa,max|, prematurity (coupling interval with the previous impulse), and conduction velocity (CV) of premature impulses change dynamically as they propagate away from the site of initiation. There are fundamental differences between the dynamics …

C-Metrics In Gauged Stu Supergravity And Beyond, H. Lu, Justin F. Vázquez-Poritz

Publications and Research

We construct charged generalizations of the dilaton C-metric in various fourdimensional theories, including STU gauged supergravity as well as a one-parameter family of Einstein-Maxwell-dilaton theories whose scalar potential can be expressed in terms of a superpotential. In addition, we present time-dependent generalizations of the dilaton C-metric and dilaton Ernst solutions, for which the time evolution is driven by the dilaton. These C-metric solutions provide holographic descriptions of a strongly-coupled three-dimensional field theory on the background of a black hole, a gravitational soliton, and a black hole undergoing time evolution.

A Partner-Matching Framework For Social Activity Communities, Chunyu Ai, Wei Zhong, Mingyuan Yan, Feng Gu

Publications and Research

A lot of daily activities require more than one person to participate and collaborate with each other; however, for many people, it is not easy to find good partners to engage in activities with one another. With the rapid growth of social network applications, more and more people get used to creating connections with people on the social network. Therefore, designing social network framework for partner-matching is significant in helping people to easily find good partners. In this paper, we proposed a framework which can match partners for an active community. In order to improve the matching performance, all users …

Performance Analysis Of A Hybrid Raman Optical Parametric Amplifier In The O- And E-Bands For Cwdm Pons, Sasanthi Peiris, Nicolas Madamopoulos, Neophytos A. Antoniades, Dwight Richards, Roger Dorsinville

Publications and Research

We describe a hybrid Raman-optical parametric amplifier (HROPA) operating at the O- and E-bands and designed for coarse wavelength division multiplexed (CWDM) passive optical networks (PONs). We present the mathematical model and simulation results for the optimization of this HROPA design. Our analysis shows that separating the two amplification processes allows for optimization of each one separately, e.g., proper selection of pump optical powers and wavelengths to achieve maximum gain bandwidth and low gain ripple. Furthermore, we show that the proper design of optical filters incorporated in the HROPA architecture can suppress idlers generated during the OPA process, as well …

Nnlo Hard Functions In Massless Qcd, Alessandro Broggio, Andrea Ferroglia, Ben D. Pecjak, Zhibai Zhang

Publications and Research

We derive the hard functions for all 2 → 2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain analytic expressions for the ultraviolet and infrared finite, minimally subtracted hard functions, which are matrices in color space. These hard functions will be useful in carrying out higher-order resummations in processes such as dijet and highly energetic top-quark pair production by means of soft-collinear effective theory methods.

Postmodern Fuzzy System Theory: A Deconstruction Approach Based On Kabbalah, Gabriel Burstein, Constantin Virgil Negoita, Menachem Kranz

Publications and Research

Modern general system theory proposed a holistic integrative approach based on input-state-output dynamics as opposed to the traditional reductionist detail based approach. Information complexity and uncertainty required a fuzzy system theory, based on fuzzy sets and fuzzy logic. While successful in dealing with analysis, synthesis and control of technical engineering systems, general system theory and fuzzy system theory could not fully deal with humanistic and human-like intelligent systems which combine technical engineering components with human or human-like components characterized by their cognitive, emotional/motivational and behavioral/action levels of operation. Such humanistic systems are essential in artificial intelligence, cognitive and behavioral science …

Reduction Of The Long-Term Inaccuracy From The Avhrr–Based Ndvi Data, Md Zahidur Rahman, Leonid Roytman, M. Nazrul Islam

Publications and Research

This paper investigated the normalized difference vegetation index (NDVI) stability in the NOAA/NESDIS Global Vegetation Index (GVI) data during 1982-2003, which was collected from five NOAA series satellites. An empirical distribution function (EDF) was developed to eliminate the long-term inaccuracy of the NDVI data derived from the AVHRR sensor on NOAA polar orbiting satellite. The instability of data results from orbit degradation as well as from the circuit drifts over the life of a satellite. Degradation of NDVI over time and shifts of NDVI between the satellites were estimated using the China data set, because it includes a wide variety …

Remote Sensing And Ground-Based Weather Forcing Data Analysis For Streamflow Simulation, José Alberto Infante Corona, Tarendra Lakhankar, Soni M. Pradhanang, Reza Khanbilvardi

Publications and Research

Hydrological simulation, based on weather inputs and the physical characterization of the watershed, is a suitable approach to predict the corresponding streamflow. This work, carried out on four different watersheds, analyzed the impacts of using three different meteorological data inputs in the same model to compare the model’s accuracy when simulated and observed streamflow are compared. Meteorological data from the Daily Global Historical Climatology Network (GHCN-D), National Land Data Assimilation Systems (NLDAS) and the National Operation Hydrological Remote Sensing Center’s Interactive Snow Information (NOHRSC-ISI) were used as an input into the Soil and Water Assessment Tool (SWAT) hydrological model and …

Near Horizon Geometry Of Strings Ending On Intersecting D8/D4-Branes, J. Estes, D. Krym, B. Van Pol

Publications and Research

We consider solutions of massive IIA supergravity corresponding to the half- BPS intersection of D8/D4-branes with fundamental strings. The 1 + 1-dimensional intersection preserves the symmetry D(2, 1; ; 1) × SO(4). We give a reduction and partial integration of the BPS equations for this symmetry group. We then specialize to the cases of enhanced supersymmetry corresponding to = −1/2,−2 or = 1. In the first case, we show that the only solution with enhanced symmetry is given by the AdS6 geometry describing the near horizon geometry of D8/D4-branes in the presence of an O8-plane. In the second case, we …

Sedimentology Of The Upper Scotland Formation (Eocene), Barbados, Krishna Mahabir, Nazrul I. Khandaker, Jay P. Persaud, Stanley Schleifer

Publications and Research

Representative samples collected from the Lower Scotland Formation (Eocene) outcropping in northeastern Barbados were investigated in conjunction with overall facies distribution and stratigraphic and sedimentological characteristics to interpret depositional environment and provenance of the fine-grained clastics. The Lower Scotland Formation is, for the most part, a fine-grained clastic-dominated sequence with occasional thin intercalations of gypsum, ironstone, and kaolinite. Distinctive deep-water-facies have been well-documented in dark gray shale units containing load cast, flutes, grooves and prods. In addition, turbiditic brown sandstone with a sharp erosive base and pelagic caps also characterize the base of the formation. Notable marine fauna observed include …

End Of The Cosmic Neutrino Energy Spectrum, Luis A. Anchordoqui, V. Barger, H. Goldberg, J.G. Learned, D. Marfatia, S. Pakvasa, T. C. Paul, T. J. Weiler

Publications and Research

There may be a high-energy cutoff of neutrino events in IceCube data. In particular, IceCube does not observe either continuum events above 2PeV, or the Standard Model Glashow-resonance events expected at 6.3PeV. There are also no higher energy neutrino signatures in the ANITA and Auger experiments. This absence of high-energy neutrino events motivates a fundamental restriction on neutrino energies above a few PeV. We postulate a simple scenario to terminate the neutrino spectrum that is Lorentz-invariance violating, but with a limiting neutrino velocity that is always smaller than the speed of light. If the limiting velocity of the neutrino applies …

Semi-Fredholm Solvability In The Framework Of Singular Solutions For The (3+1)-D Protter-Morawetz Problem, Nedyu Popivanov, Todor Popov, Allen Tesdall

Publications and Research

For the four-dimensional nonhomogeneous wave equation boundary value problems that are multidimensional analogues of Darboux problems in the plane are studied. It is known that for smooth right-hand side functions the unique generalized solution may have a strong power-type singularity at only one point. This singularity is isolated at the vertex �� of the boundary light characteristic cone and does not propagate along the bicharacteristics.The present paper describes asymptotic expansions of the generalized solutions in negative powers of the distance to ��. Some necessary and sufficient conditions for existence of bounded solutions are proven and additionally a priori estimates for …

Effects Of Extreme Climate Events On Tea (Camellia Sinensis) Functional Quality Validate Indigenous Farmer Knowledge And Sensory Preferences In Tropical China, Selena Ahmed, John Richard Stepp, Colin M. Orians, Timothy S. Griffin, Corene Matyas, Albert Robbat, Sean Cash, Dayuan Xue, Chunlin Long, Uchenna Unachukwu, Sarabeth Buckley, Edward J. Kennelly

Publications and Research

Climate change is impacting agro-ecosystems, crops, and farmer livelihoods in communities worldwide. While it is well understood that more frequent and intense climate events in many areas are resulting in a decline in crop yields, the impact on crop quality is less acknowledged, yet it is critical for food systems that benefit both farmers and consumers through high-quality products. This study examines tea (Camellia sinensis; Theaceae), the world’s most widely consumed beverage after water, as a study system to measure effects of seasonal precipitation variability on crop functional quality and associated farmer knowledge, preferences, and livelihoods. Sampling was conducted in …

Financial Literacy: An Essential Component Of Mathematics Literacy And Numeracy, Marla A. Sole

Publications and Research

With rising personal and public debt, public and private employers increasingly shifting financial responsibility to individuals, and an increase in both the number of financial investment options and predatory lending practices, today’s students need to be financially literate. This paper defines financial literacy and justifies its place in the mathematics curriculum. After describing the gaps in young people’s understanding of financial literacy, which is more pronounced among women and minorities, this paper provides examples of financial literacy exercises. College students’ solutions demonstrated that the level of financial literacy is low. The majority of students were unfamiliar with financial principles and …

The Computational Complexity Of Some Games And Puzzles With Theoretical Applications, Vasiliki Despoina Mitsou

Dissertations, Theses, and Capstone Projects

The subject of this thesis is the algorithmic properties of one- and two-player

games people enjoy playing, such as Sudoku or Chess. Questions asked about puzzles

and games in this context are of the following type: can we design efficient computer

programs that play optimally given any opponent (for a two-player game), or solve

any instance of the puzzle in question?

We examine four games and puzzles and show algorithmic as well as intractability

results. First, we study the wolf-goat-cabbage puzzle, where a man wants to transport

a wolf, a goat, and a cabbage across a river by using a …

The Effect Of Income On Health After Hurricane Katrina, Jang Wook Lee

Dissertations, Theses, and Capstone Projects

There is a large literature that documents a positive correlation between income and a variety of measures of good health. This correlation may reflect causality in both directions and may also reflect omitted "third variables" that are positively related to income and health. In my dissertation, I employ an exogenous negative shock to income due to a natural disaster to estimate the true causal impact of income on health. The shock I will use is Hurricane Katrina, which severely damaged counties in Alabama, Mississippi, and Louisiana in August 2005. I use these treatment counties and a variety of alternative sets …

Transport And Optical Properties Of Low-Dimensional Complex Systems, Andrii Iurov

Dissertations, Theses, and Capstone Projects

Over the last five years of my research work, I, my research was mainly concerned with certain crucial tunneling, transport and optical properties of novel low-dimensional graphitic and carbon-based materials as well as topological insulators. Both single-electron and many-body problems were addressed. We investigated the Dirac electrons transmission through a potential barrier in the presence of circularly polarized light. An anomalous photon-assisted enhanced transmission is predicted and explained in a comparison with the well-known Klein paradox. It is demonstrated that the perfect transmission for nearly-head-on collision in an infinite graphene is suppressed in gapped dressed states of electrons, which is …

The Interaction Between Arsenic And Struvite During Coprecipitation And Adsorption Processes, Ning Ma

Dissertations, Theses, and Capstone Projects

The formation of struvite, MgNH4PO4*6H2O (MAP), from wastes is one of the methods that can be used to recover P from wastes efficiently. However, since there are usually toxic components in the wastes, like arsenic (As), the possibility of having toxic contaminants in MAP is a big concern. So, the interaction between As and MAP during coprecipitation (CPT) and adsorption (ADS) processes were studied at pH 8-11. MAP precipitated without As at pH 8-11 was also characterized.

During CPT process, the MAP was precipitated from a MgCl2-(NH4)2HPO4-NaCl-H2O system spiked with As at an initial pH (pHi) of 8-11. The batch …

Control Of Light-Matter Interaction Via Dispersion Engineering, Harish Natarajan Swaha Krishnamoorthy

Dissertations, Theses, and Capstone Projects

This thesis describes the design, fabrication and characterization of certain nanostructures to engineer light-matter interaction. These materials have peculiar dispersion properties owing to their structural design, which is exploited to control spontaneous emission properties of emitters such as quantum dots and dye molecules. We will discuss two classes of materials based on the size of their unit cell compared to the wavelength of the electromagnetic radiation they interact with. The first class are hyperbolic metamaterials (HMM) composed of alternate layers of a metal and a dielectric of thicknesses much smaller than the wave- length. Using a HMM composed of silver …

Systematic Comparison Of Cross-Lingual Projection Techniques For Low-Density Nlp Under Strict Resource Constraints, Joshua Waxman

Dissertations, Theses, and Capstone Projects

The field of low-density NLP is often approached from an engineering perspective, and evaluations are typically haphazard - considering different architectures, given different languages, and different available resources - without a systematic comparison. The resulting architectures are then tested on the unique corpus and language for which this approach has been designed. This makes it difficult to truly evaluate which approach is truly the "best," or which approaches are best for a given language.

In this dissertation, several state-of-the-art architectures and approaches to low-density language Part-Of-Speech Tagging are reimplemented; all of these techniques exploit a relationship between a high-density (HD) …

Second Quantum State Transition In Gaas/Algaas Resonant Bragg Structure Probed By Modulation Reflectance Spectroscopy, Yuechao Chen

Dissertations, Theses, and Capstone Projects

Modulation spectroscopy, ever since its introduction by B.O. Seraphin in 1964, has been considered and widely used as a sensitive experiment technique for studying and characterizing the properties of varieties of semiconductor materials. Compared to general optical reflectance spectrum which measures the absolute reflection, the modulation spectroscopy evaluates the interpretation of the changes in the optical response from the sample caused by a periodic physical perturbation applied to the sample, such as temperature, electric fields, hydrostatic pressure, uniaxial stress, etc.Those modulation spectroscopies with an external electric field perturbation are known as electroreflectance spectroscopy, which provides sharp and derivative-like spectral features …

Martingales For Uniformly Quasisymmetric Circle Endomorphisms, Yunchun Hu

Dissertations, Theses, and Capstone Projects

The main subject studied in this thesis is the space of all uniformly quasisymmetric circle endomorphisms preserving the Lebesgue measure. Although many of our arguments work for any degree d≥2, our proof will be mainly written for degree 2 maps.

We will introduce a sequence of Markov partitions of the unit circle by using preimages of the fixed point of such circle endomorphism f. The uniform quasisymmetry condition is equivalent to the bounded nearby geometry condition of the Markov partitions. In Chapter 2 of this thesis, for each f, we use the Lebesgue invariant condition and the …

Spontaneous Time-Reversal Symmetry Breaking In Two Dimensional Electronic Systems, Wei Liu

Dissertations, Theses, and Capstone Projects

The discovery of high temperature superconductivity inspired a number of novel proposals, one of which, put forward by C.M.Varma, involves the breaking of time-reversal symmetry to explain the physics of the underdoped pseudogap phase. It was proposed that time-reversal symmetry is spontaneously broken as a result of strong repulsion between the Cu-O electrons to form loop-currents in the system.

In this work, we developed a general theory to study the quantum phase transitions in the 2 dimensional strongly interacting electronic systems in which time-reversal symmetry is spontaneously broken in the ground state. We first applied the theory of magnetic groups …

Science Identity Transformations Through Place-Based Teaching And Learning In The Natural World, Amy Defelice

Dissertations, Theses, and Capstone Projects

This dissertation includes three main components related through a sociocultural lens of identity transformation. The first component describes the Field Studies program for ninth grade students at Brooklyn Academy of Science and the Environment (BASE High School), and explores how outdoor settings and place-based pedagogies can be used to enhance urban students' science identities. Student researchers took digital photographs of their Field Studies experiences and met in cogenerative dialogues with me, their teacher, where we shared our reflections. The second component explains students' experiences and reactions to a week-long place-based geoscience program held over spring break at Prospect Park. This …

Quantum Crystallography Of Hydronium Cations, Sonjae Sycoria Wallace

Dissertations, Theses, and Capstone Projects

Cationic hydronium clusters of the form [HaOb]^c,(c>0), have been investigated. After investigating over 2000 crystal structures containing hydronium cations found in the Cambridge Structural Database. The hydronium cationic compounds that were most unusual, mischaracterized, or those of apparent aggregates, were investigated further by geometry optimization and in some cases with the Quantum Theory of Atoms in Molecules (QTAIM). The results of our investigations yielded the first reports of stable conformations of cyclic dihydronium cationic clusters. In a second investigation we reported the first theoretically confirmed transition state of a H7O3+conformer captured within a crystal. A third product from our …

Randomized Search Of Graphs In Log Space And Probabilistic Computation, Wen-Ju Cheng

Dissertations, Theses, and Capstone Projects

Reingold has shown that L = SL, that s-t connectivity in a poly-mixing digraph is complete for promise-RL, and that s-t connectivity for a poly-mixing out-regular digraph with known stationary distribution is in L. Several properties that bound the mixing times of random walks on digraphs have been identified, including the digraph conductance and the digraph spectral expansion. However, rapidly mixing digraphs can still have exponential cover time, thus it is important to specifically identify structural properties of digraphs that effect cover times. We examine the complexity of random walks on a basic parameterized family of unbalanced digraphs called Strong …

Carbon And Nitrogen Dynamics From Slow Pools Of Soil Organic Matter In A Temperate Forest: Pyrogenic Organic Matter And And Root Litter, Fernanda Dos Santos

Dissertations, Theses, and Capstone Projects

Soil organic matter (SOM) is the dominant reservoir of organic carbon (OC) in terrestrial ecosystems, storing approximately three times the size of the C pool in the atmosphere. In temperate forests, a major fraction of the SOM consists of slowly decaying soil organic C (SOC) pools. While slowly cycling C pools constitute a large reservoir of stable C in soils, the dominant environmental factors controlling this C pool remain unresolved. This research investigates two significant, but poorly characterized slowly decaying C pools: fine root litter (< 2mm) and thermally altered plant biomass (pyrogenic organic matter, PyOM). Specifically, I used compound-specific stable isotope analysis (¹³C and ¹⁵N) as my main methodological approach to examine the (1) …

Development And Applications Of Mass Spectrometric Methods For Phosphorylation Analysis, Hsin-Pin Ho

Dissertations, Theses, and Capstone Projects

Protein phosphorylation modification regulates numerous cellular functions by a reversible and selective control of kinases and phosphatases. To understand the entire dynamic network of phosphorylation requires sensitive and reliable quantification of phosphorylation, measurements that can be achieved by mass spectrometry. In this research, we established efficient MALDI-mass spectrometric methods as strategies for single- or multi-site phosphorylation quantification without the use of isotopes, chromatography and calibration curves. The methods were assessed by analyzing peptide standards with different single-multiple phosphorylation sites, showing a wide dynamic range, good accuracy and reproducibility. This is the first label-free MALDI method without using a calibration methodology …

Canvas: A Fast And Accurate Geometric Sentence Alignment System Using Lexical Cues Within Complex Misalignment Settings, Hussein M. Ghaly

Dissertations, Theses, and Capstone Projects

In this paper, we present a new sentence alignment system (Canvas), which is a Python implementation of a geometric approach to sentence alignment, based on lexical cues. Canvas system is designed mainly to handle parallel texts exhibiting complex misalignment patterns, namely within English-Arabic pairs for United Nations documents. The system relies heavily on pre-indexing words/tokens in the source and target texts, and it creates correspondences between the token indexes. From this point onward, the alignment problem is reduced to a geometric problem of finding the path that runs through the True Correspondence Points (TCPs). The likelihood of a point being …