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A Centre-Stable Manifold For The Energy-Critical Wave Equation In R^3 In The Symmetric Setting, Marius Beceanu
A Centre-Stable Manifold For The Energy-Critical Wave Equation In R^3 In The Symmetric Setting, Marius Beceanu
Mathematics and Statistics Faculty Scholarship
Consider the focusing semilinear wave equation in R^3 with energy-critical nonlinearity \partial_t^2 \psi - \Delta \psi - \psi^5 = 0, \psi(0) = \psi_0, \partial_t \psi(0) = \psi_1. This equation admits stationary solutions of the form \phi(x, a) := (3a)^{1/4} (1+a|x|^2)^{-1/2}, called solitons, which solve the elliptic equation -\Delta \phi - \phi^5 = 0. Restricting ourselves to the space of symmetric solutions \psi for which \psi(x) = \psi(-x), we find a local centre-stable manifold, in a neighborhood of \phi(x, 1), for this wave equation in the weighted Sobolev space ^{-1} \dot H^1 \times< x>^{-1} L^2. Solutions with initial data on the …
Strichartz Estimates And Maximal Operators For The Wave Equation In R^3, Marius Beceanu, Michael Goldberg
Strichartz Estimates And Maximal Operators For The Wave Equation In R^3, Marius Beceanu, Michael Goldberg
Mathematics and Statistics Faculty Scholarship
We prove sharp Strichartz-type estimates in three dimensions, including some which hold in reverse spacetime norms, for the wave equation with potential. These results are also tied to maximal operator estimates studied by Rogers--Villaroya, of which we prove a sharper version. As a sample application, we use these results to prove the local well-posedness and the global well-posedness for small initial data of semilinear wave equations in R^3 with quintic or higher monomial nonlinearities.
Foundations Of Inference, Kevin H. Knuth, John Skilling
Foundations Of Inference, Kevin H. Knuth, John Skilling
Physics Faculty Scholarship
We present a simple and clear foundation for finite inference that unites and significantly extends the approaches of Kolmogorov and Cox. Our approach is based on quantifying lattices of logical statements in a way that satisfies general lattice symmetries. With other applications such as measure theory in mind, our derivations assume minimal symmetries, relying on neither negation nor continuity nor differentiability. Each relevant symmetry corresponds to an axiom of quantification, and these axioms are used to derive a unique set of quantifying rules that form the familiar probability calculus. We also derive a unique quantification of divergence, entropy and information.
The Rapid Intensification Of Hurricane Gustav (2008), Jason H. Keefer
The Rapid Intensification Of Hurricane Gustav (2008), Jason H. Keefer
Atmospheric & Environmental Sciences
Hurricane Gustav was one of two major hurricanes that occurred in the Atlantic basin during the 2008 hurricane season. The storm caused more than $6 billion U. S. dollars of damage in Haiti, Jamaica, Cuba, and along the coast of the Gulf of Mexico from 25 August 2008 to 5 September 2008. The greatest amount of damage and highest number of casualties produced by the storm can be attributed to the rapid intensification of the hurricane. Rapid intensification (RI) of a tropical cyclone is defined as an increase in maximum sustained winds by 15.4 m s⁻¹ (30 kts) in a …
An Evaluation Of Cape Tendency In Tornado Outbreaks, Timothy W. Humphrey, Lance F. Bosart
An Evaluation Of Cape Tendency In Tornado Outbreaks, Timothy W. Humphrey, Lance F. Bosart
Atmospheric & Environmental Sciences
Previous studies (e.g., Rasmussen, 2003; Thompson et al., 2003) have examined the impact that instability has on the occurrence of tornadic supercells. However, few studies (e.g., Calas et al., 2000) have examined the impact that the rate of destabilization has on the development of severe convection. Utilizing a CAPE tendency equation derived by Emanuel (1994), this study examines the impact of the rate of atmospheric destabilization on the severity of convection. Comparing six hour analyses of CAPE tendency with observed tornado tracks from the 4-6 May 2007, 5-6 February 2008, and 17 June 2010 tornado outbreaks reveals a potential correlation …
Largescale Precursors To Major Lake Effect Snowstorms Lee Of Lake Erie, Hannah E. Attard, Ross A. Lazear
Largescale Precursors To Major Lake Effect Snowstorms Lee Of Lake Erie, Hannah E. Attard, Ross A. Lazear
Atmospheric & Environmental Sciences
Lake‐effect snowstorms are primarily a mesoscale feature; however, major lakeeffect snowstorms are linked closely to their synoptic environment. Thus, a lakeeffect system which lasts for more than 24 h cannot only be explained by the boundary layer; it is also associated with the upper tropospheric flow. This research will address whether major lake‐effect snow events off of Lake Erie can also be associated with large‐scale planetary features several days prior to event onset. The goal is to aid in the forecast process by increasing the accuracy and leadtime of lake‐effect snow forecasts. This study includes 31 cases recorded from the …
Robust And Economical Autonomous Navigation Via Advanced Bayesian Methods, Ali H. Chaudry
Robust And Economical Autonomous Navigation Via Advanced Bayesian Methods, Ali H. Chaudry
Physics
A 2009 NASA SBIR grant awarded to Autonomous Exploration, Inc., was partially used to fund students at the University at Albany to help research whether autonomous navigation systems can be prepared at a much lower cost than is currently being done. Expensive and bulky sensors (the basis of current-generation navigation systems) can be avoided by using commercially available low-cost sensors; the disadvantages of these low-cost sensors can be eluded by using novel data-processing techniques such as Bayesian analysis. Integration of these methods can lead to low-cost navigation systems, and hence, rovers. Potential applications include extra-planetary surface exploration as well as …
Techniques For Improving Parameter Estimation In Esr, Troy R. Broderick
Techniques For Improving Parameter Estimation In Esr, Troy R. Broderick
Physics
This paper is to address the need for better estimates of the ESR spectral parameters of biological systems. In this paper I focus on models of spectral lineshapes and will be applying these techniques to more complicated lineshapes. Multifrequency ESR is a powerful technique for identifying and characterizing dynamic modes in natively unfolded biopolymers in general and loop regions in particular. I will introduce the reader to properties of ESR, formalisms and common techniques in the field. A common result for a simple ESR line is a Lorentzian distribution that is characterized by a mode and width. Information about the …
Dispersive Estimates In R^3 With Threshold Resonances, Marius Beceanu
Dispersive Estimates In R^3 With Threshold Resonances, Marius Beceanu
Mathematics and Statistics Faculty Scholarship
We prove dispersive estimates in R^3 for the Schroedinger evolution generated by the Hamiltonian H = -\Delta+V, under optimal decay conditions on V, in the presence of zero energy eigenfunctions and resonances.
Review Of International Dictionary Of Data Communications, By Dan Freeman., Michael Knee
Review Of International Dictionary Of Data Communications, By Dan Freeman., Michael Knee
University Libraries Faculty Scholarship
No abstract provided.
Ualbany Goes Local, Mary Ellen Mallia
Ualbany Goes Local, Mary Ellen Mallia
Presentations
Presented at the State of NY Sustainability Conference.
Hybrid Buses In The Real World, Mary Ellen Mallia
Hybrid Buses In The Real World, Mary Ellen Mallia
Presentations
Presented at the Northeast Campus Sustainability Consortium Conference
Modeling Of Megavoltage And Low Energy Focused X-Ray Beams Using Mcnp5, Hassan Abbas
Modeling Of Megavoltage And Low Energy Focused X-Ray Beams Using Mcnp5, Hassan Abbas
Legacy Theses & Dissertations (2009 - 2024)
In this thesis 6 and 18 MV photon beams for a Varian linear accelerator were simulated using a general purpose Monte Carlo code MCNP5 (Monte Carlo N-Particle Transport Code). The potential of MCNP5 is explored to calculate the dose in high dose gradient regions. In addition, MCNP5 was used to model another geometry, low energy focused x ray beams created with polycapillary optics, to explore their potential to provide a different skin-sparing technique for radiation therapy.
On Combinatorial Models For Representations Of Classical Lie Algebras, William Louis Adamczak
On Combinatorial Models For Representations Of Classical Lie Algebras, William Louis Adamczak
Legacy Theses & Dissertations (2009 - 2024)
Lenart and Postnikov have constructed a simple combinatorial model for the characters
Random Processes Of The Form X(N+1) = Anxn + Bn (Mod P) In Two Dimensions, Scott Christopher Bianco
Random Processes Of The Form X(N+1) = Anxn + Bn (Mod P) In Two Dimensions, Scott Christopher Bianco
Legacy Theses & Dissertations (2009 - 2024)
A common way for computers to generate pseudo random number sequences is by using recurrences such as Xn+1=aXn+b (mod p) where a, b, and p are fixed integers. Even though this process generates pseudo random numbers it is completely determined by X0,a,b,p. Chung, Diaconis, and Graham, found bounds as p → infinity for the random process Xn+1=aXn+bn (mod p) where a is a fixed integer, and bn is either -1,0, or 1.
A Novel Fabrication Technique For Three-Dimensional Nanostructures, Ravi Kiran Bonam
A Novel Fabrication Technique For Three-Dimensional Nanostructures, Ravi Kiran Bonam
Legacy Theses & Dissertations (2009 - 2024)
Three dimensional micro- and nano-structures are commonly used in the field of Photonics, Optoelectronics, Sensors and Biological applications. Although numerous physical models are developed, a major challenge has been in their fabrication which is commonly limited to conventional layer-by-layer techniques. In this dissertation, a novel method for fabricating three dimensional structures using Electron Beam Lithography (EBL) will be presented.
Optimal Recovery Of Holomorphic Functions From Inaccurate Information About Integration Type Operators, Arthur James Degraw
Optimal Recovery Of Holomorphic Functions From Inaccurate Information About Integration Type Operators, Arthur James Degraw
Legacy Theses & Dissertations (2009 - 2024)
This paper addresses the optimal estimation of functions from Hilbert spaces of functions on the unit disc. The estimation, or recovery, is performed from inaccurate information given by a linear information operator. The information operators considered are of integration type, along radial and secant paths. The results are applied to the Hardy-Sobolev and Bergman-Sobolev classes.
Assessing The Reproducibility Of Coral Oxygen And Carbon Isotope Time Series From Fiji And Tonga And Their Application To The Reconstruction Of South Pacific Convergence Zone Movements Since The Mid-1800s, Emilie Pauline Dassie
Assessing The Reproducibility Of Coral Oxygen And Carbon Isotope Time Series From Fiji And Tonga And Their Application To The Reconstruction Of South Pacific Convergence Zone Movements Since The Mid-1800s, Emilie Pauline Dassie
Legacy Theses & Dissertations (2009 - 2024)
A major feature affecting the hydrology of the southern hemisphere is the South Pacific Convergence Zone (SPCZ); a band of high rainfall extending southeastward from the Western Pacific Warm Pool (WPWP). It is a key source of atmospheric water vapor and latent heating. While it is clear that the SPCZ plays a fundamental role in Earth's climate, little is known about the patterns and mechanisms responsible for interannual to century-scale changes in its position and how it may respond to global climate change.
Unification Modulo Theories Of Blind Signatures, Serdar Erbatur
Unification Modulo Theories Of Blind Signatures, Serdar Erbatur
Legacy Theses & Dissertations (2009 - 2024)
This thesis is concerned with equational unification problems that are relevant in formal verification of cryptographic protocols which deploy blind signature schemes. Blind signatures are signature schemes that keep the content confidential and have applications in modern cryptography for electronic voting and digital cash schemes. Equational unification problems studied here originate from blind RSA signatures and El Gamal encryption.
The Application Of Raman Spectroscopy As A Confirmatory Blood Test In The Presence Of Sodium Hypochlorite Cleaners In In Comparison With Presumptive Blood Tests, Aliea Anoshaa Afnan
The Application Of Raman Spectroscopy As A Confirmatory Blood Test In The Presence Of Sodium Hypochlorite Cleaners In In Comparison With Presumptive Blood Tests, Aliea Anoshaa Afnan
Legacy Theses & Dissertations (2009 - 2024)
Popular presumptive tests for blood include: Luminol, tetramethylbenzidine (TMB), leucomalachite green (LMG), phenolphthalein, and Hemastix® [3]. These presumptive tests have been reviewed with respect to their sensitivity, specificity, and DNA degradation. In this study, the aforementioned presumptive tests were subjected to bloodstains deposited on cotton contaminated with all-purpose bleach and compared with Raman spectroscopy as an application of a confirmatory blood test. Samples were tested for interference with the all-purpose bleach to determine the selectivity of the presumptive tests. Tetramethylbenzidine, leucomalachite green, and phenolphthalein all yielded inconclusive results when applied to a contaminated sample. Luminol and Hemastix® yielded a positive …
Synoptic And Mesoscale Aspects Of Ice Storms In The Northeastern U.S, Christopher Castellano
Synoptic And Mesoscale Aspects Of Ice Storms In The Northeastern U.S, Christopher Castellano
Legacy Theses & Dissertations (2009 - 2024)
Ice storms are among the most hazardous, disruptive, and costly meteorological phenomena in the northeastern United States. The accretion of freezing rain during ice storms endangers human safety, compromises public infrastructure, and causes economic losses on local and regional scales. Furthermore, ice storms present a major operational forecast challenge due to the combined influence of synoptic, mesoscale, and microphysical processes on precipitation type. In consideration of these socioeconomic impacts and forecast issues, we have identified three primary objectives for this thesis: 1) create long-term climatologies of freezing rain and ice storms in the northeastern U.S., 2) identify antecedent environments conducive …
Analysis Of Intraseasonal Convective Variability Modes Over West Africa During The Monsoon Season, Jeffrey Ceratto
Analysis Of Intraseasonal Convective Variability Modes Over West Africa During The Monsoon Season, Jeffrey Ceratto
Legacy Theses & Dissertations (2009 - 2024)
Intraseasonal variability of rainfall within the West African Monsoon has been shown to be an important factor in the weather of this region. Multiple factors have been found to contribute to variability at this timescale. Mounier, et al (2008) use EOF analysis to uncover and describe a quasi-stationary dipole of precipitation between the West African Monsoon system and the West Atlantic/Caribbean Sea. This mode, termed the Quasi Biweekly Zonal Dipole mode, operates on timescales of roughly 13 days. The stationary nature of this dipole is focused upon in their work, while the role of Kelvin waves in the mode are …
Fractional Comparison Of Arson Accelerants Using Advanced Distillation, Sarah Clickner
Fractional Comparison Of Arson Accelerants Using Advanced Distillation, Sarah Clickner
Legacy Theses & Dissertations (2009 - 2024)
Detection of accelerants is often critical in proving a fire was intentional. Establishing a fire was intentionally set is not an easy task and hinges on the preservation of accelerant present in fire debris. Various accelerants have previously been studied using the advanced distillation method to get fractional composition information. The resulting fractions from advanced distillations were compared to evaporation and burn samples to determine if there were any similarities.
An Analysis Of The Formation And Evolution Of The 1989 Western North Pacific Subtropical Gyre, Brian Andrew Crandall
An Analysis Of The Formation And Evolution Of The 1989 Western North Pacific Subtropical Gyre, Brian Andrew Crandall
Legacy Theses & Dissertations (2009 - 2024)
This thesis conducts an observational study of a large cyclonic gyre that developed in the Western North Pacific (WNP) in late July 1989. For a period of six days, azimuthally-averaged winds at 850 hPa remained cyclonic out from the center of circulation to the 2000 km radius, with azimuthally-averaged tangential wind speeds at or greater than 10 m s-1. The gyre exhibited an asymmetric convection pattern, with the center, north and west flanks devoid of large convective areas, but the southern and eastern flanks maintained large-scale convective regions, extending as much as 4000 km in longitude.
The Association Of Summer Temperatures With Hospital Admissions For Renal Diseases In New York State : A Case-Crossover Study, Barbara A. Fletcher
The Association Of Summer Temperatures With Hospital Admissions For Renal Diseases In New York State : A Case-Crossover Study, Barbara A. Fletcher
Legacy Theses & Dissertations (2009 - 2024)
This study assessed the association between high temperatures and increased odds of hospitalization for renal diseases which, to date, has been examined in only a small number of studies. A case-crossover design was used to study 147,885 hospital admissions with renal diagnoses during July and August, 1991-2004 in New York State. Regional temperature, humidity and barometric pressure data from automated monitors were used as exposure indicators. Using time-stratified referent selection and conditional logistic regression analysis, an overall 9% increase in odds of hospitalization for acute renal failure per 5°F (2.78°C) was found for mean temperature at a one day lag …
Statistical Analysis Of Gasoline As An Accelerant Using Principal Component Analysis, Carolyn Frantz
Statistical Analysis Of Gasoline As An Accelerant Using Principal Component Analysis, Carolyn Frantz
Legacy Theses & Dissertations (2009 - 2024)
Arson is one of the most difficult crimes to investigate, as much of the physical evidence is destroyed by the fire. Evidence of an accelerant at a scene is often vital in determining whether a fire was intentional or accidental. Gasoline is one of the most commonly used accelerants, due to its wide availability and low cost. Neat gasoline samples were analyzed by gas chromatography/mass spectrometry (GC/MS) to identify the components present in each gasoline and differentiate between gasoline samples based on their seasonal blend and grade. Advanced distillations were executed to compare regular and premium grade gasolines and determine …
Structural And Thermodynamic Anaylsis Of Self-Assembled Dna Cross-Tiles, Lauren Hakker
Structural And Thermodynamic Anaylsis Of Self-Assembled Dna Cross-Tiles, Lauren Hakker
Legacy Theses & Dissertations (2009 - 2024)
A thermodynamic and structural analysis of DNA nanostructures was performed, following the replacement of the unpaired thymine bases within a central loop to determine their effect on the self-assembly process. Specifically this study focused on DNA cross-tile nanostructures. Self-assembly of DNA cross-tiles occurs by means of Watson-crick base-pairing interactions between designed single-stranded DNAs from which lattice structures assemble through sticky-end cohesion. These cross-tile structures were constructed from nine single-stranded DNAs and consisted of a central loop containing 16 unpaired thymine bases, four shell strands, and four arms. Modifications were introduced to replace the central unpaired thymine base loop. The modifications …
Ultraviolet Resonance Raman Spectroscopy For Characterization Of Rna Structure And Thermodynamics, Joseph Dustin Handen
Ultraviolet Resonance Raman Spectroscopy For Characterization Of Rna Structure And Thermodynamics, Joseph Dustin Handen
Legacy Theses & Dissertations (2009 - 2024)
Raman spectroscopy is a technique well suited for the study of biological molecules such as proteins, peptides, or RNAs. By utilizing an ultraviolet resonance Raman (UVRR) instrument, we are afforded a tremendous increase in sensitivity because of resonance enhancement. Additionally, this technique does not require any labeling. Moreover, this technique is better suited for studying biological systems than infrared absorption due to reduced interference from water. In this study, we apply techniques we have developed for the study of protein and peptide fibrillation to a model RNA homodimer. We demonstrate that UVRR spectroscopy is uniquely suited to monitoring the free …
Inhibition Of Glutamate Receptors By Constructing Bipartite Rna Aptamers, Jeffrey Hebert
Inhibition Of Glutamate Receptors By Constructing Bipartite Rna Aptamers, Jeffrey Hebert
Legacy Theses & Dissertations (2009 - 2024)
The relationship of excessive activity of AMPA-type glutamate receptors, and cell death, has long provided researchers a means of investigating neurodegenerative disorders, such as Parkinson's Disease (PD) and amyotrophic lateral sclerosis (ALS). Inhibitors of AMPA receptor channels, including chemical and nucleic acid molecules such as RNA aptamers, have served as potential therapeutic agents and treatment of neurodegenerative disorders. In this study, building bipartite aptamers to enhance inhibitory potency, as compared with a monomeric aptamer of AMPA receptor, is described. An enhanced potency is due, at least in part; to the proximity effect in bipartite structures or binding of a monomeric …
Ecological Literacy, Nutrition Knowledge, And Dietary Practices Among Students At University At Albany, Elaine Hills
Ecological Literacy, Nutrition Knowledge, And Dietary Practices Among Students At University At Albany, Elaine Hills
Legacy Theses & Dissertations (2009 - 2024)
University students (N=1,924) at a large public university were surveyed to measure their nutrition knowledge, dietary practices, and ecological literacy. A quantitative measure of ecological literacy was developed for this purpose, reflecting familiarity with nature, awareness of one's personal impact on local and global ecologies, and personal lifestyle choices that demonstrate civic responsibility for the natural environment. The association between nutrition knowledge and dietary practices was compared to the association between ecological literacy and dietary practices. The results showed that: (1) many students were not familiar with public health eating recommendations and did not eat recommended amounts of foods, particularly …