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Description
Nonlinear dispersive equations model nonlinear waves in a wide range of physical and mathematics contexts. They reinforce or dissipate effects of linear dispersion and nonlinear interactions, and thus, may be of a focusing or defocusing nature. The nonlinear Schrödinger equation or NLS is an example of such equations. It appears

Nonlinear dispersive equations model nonlinear waves in a wide range of physical and mathematics contexts. They reinforce or dissipate effects of linear dispersion and nonlinear interactions, and thus, may be of a focusing or defocusing nature. The nonlinear Schrödinger equation or NLS is an example of such equations. It appears as a model in hydrodynamics, nonlinear optics, quantum condensates, heat pulses in solids and various other nonlinear instability phenomena. In mathematics, one of the interests is to look at the wave interaction: waves propagation with different speeds and/or different directions produces either small perturbations comparable with linear behavior, or creates solitary waves, or even leads to singular solutions. This dissertation studies the global behavior of finite energy solutions to the $d$-dimensional focusing NLS equation, $i partial _t u+Delta u+ |u|^{p-1}u=0, $ with initial data $u_0in H^1,; x in Rn$; the nonlinearity power $p$ and the dimension $d$ are chosen so that the scaling index $s=frac{d}{2}-frac{2}{p-1}$ is between 0 and 1, thus, the NLS is mass-supercritical $(s>0)$ and energy-subcritical $(s<1).$ For solutions with $ME[u_0]<1$ ($ME[u_0]$ stands for an invariant and conserved quantity in terms of the mass and energy of $u_0$), a sharp threshold for scattering and blowup is given. Namely, if the renormalized gradient $g_u$ of a solution $u$ to NLS is initially less than 1, i.e., $g_u(0)<1,$ then the solution exists globally in time and scatters in $H^1$ (approaches some linear Schr"odinger evolution as $ttopminfty$); if the renormalized gradient $g_u(0)>1,$ then the solution exhibits a blowup behavior, that is, either a finite time blowup occurs, or there is a divergence of $H^1$ norm in infinite time. This work generalizes the results for the 3d cubic NLS obtained in a series of papers by Holmer-Roudenko and Duyckaerts-Holmer-Roudenko with the key ingredients, the concentration compactness and localized variance, developed in the context of the energy-critical NLS and Nonlinear Wave equations by Kenig and Merle. One of the difficulties is fractional powers of nonlinearities which are overcome by considering Besov-Strichartz estimates and various fractional differentiation rules.
ContributorsGuevara, Cristi Darley (Author) / Roudenko, Svetlana (Thesis advisor) / Castillo_Chavez, Carlos (Committee member) / Jones, Donald (Committee member) / Mahalov, Alex (Committee member) / Suslov, Sergei (Committee member) / Arizona State University (Publisher)
Created2011
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Description
This thesis outlines the development of a vector retrieval technique, based on data assimilation, for a coherent Doppler LIDAR (Light Detection and Ranging). A detailed analysis of the Optimal Interpolation (OI) technique for vector retrieval is presented. Through several modifications to the OI technique, it is shown that the modified

This thesis outlines the development of a vector retrieval technique, based on data assimilation, for a coherent Doppler LIDAR (Light Detection and Ranging). A detailed analysis of the Optimal Interpolation (OI) technique for vector retrieval is presented. Through several modifications to the OI technique, it is shown that the modified technique results in significant improvement in velocity retrieval accuracy. These modifications include changes to innovation covariance portioning, covariance binning, and analysis increment calculation. It is observed that the modified technique is able to make retrievals with better accuracy, preserves local information better, and compares well with tower measurements. In order to study the error of representativeness and vector retrieval error, a lidar simulator was constructed. Using the lidar simulator a thorough sensitivity analysis of the lidar measurement process and vector retrieval is carried out. The error of representativeness as a function of scales of motion and sensitivity of vector retrieval to look angle is quantified. Using the modified OI technique, study of nocturnal flow in Owens' Valley, CA was carried out to identify and understand uncharacteristic events on the night of March 27th 2006. Observations from 1030 UTC to 1230 UTC (0230 hr local time to 0430 hr local time) on March 27 2006 are presented. Lidar observations show complex and uncharacteristic flows such as sudden bursts of westerly cross-valley wind mixing with the dominant up-valley wind. Model results from Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS®) and other in-situ instrumentations are used to corroborate and complement these observations. The modified OI technique is used to identify uncharacteristic and extreme flow events at a wind development site. Estimates of turbulence and shear from this technique are compared to tower measurements. A formulation for equivalent wind speed in the presence of variations in wind speed and direction, combined with shear is developed and used to determine wind energy content in presence of turbulence.
ContributorsChoukulkar, Aditya (Author) / Calhoun, Ronald (Thesis advisor) / Mahalov, Alex (Committee member) / Kostelich, Eric (Committee member) / Huang, Huei-Ping (Committee member) / Phelan, Patrick (Committee member) / Arizona State University (Publisher)
Created2013
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Description

This study looked at the accuracy in sexual orientation judgment in college-age students from Arizona State University’s West Campus while viewing female actors. One actor was straight and the other bisexual. Participants viewed a 3-minute-long video with audio and visual of a mock forensic interview between Taylor Addams (played by

This study looked at the accuracy in sexual orientation judgment in college-age students from Arizona State University’s West Campus while viewing female actors. One actor was straight and the other bisexual. Participants viewed a 3-minute-long video with audio and visual of a mock forensic interview between Taylor Addams (played by one of the actors) and Officer Carter (played by Kiersten Carter), and were not told this was a test of their gaydar. It was found that though each group was biased toward straight responses, the straight actor group scored significantly higher on the straightness measure than the bisexual actor group. There was also no significant difference between the two groups in their confidence in their answers.

ContributorsCarter, Kiersten M (Author) / Holloway, Steven (Thesis director) / Walker, Michael (Committee member) / School of Social and Behavioral Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
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Description

Critical flicker fusion thresholds (CFFTs) describe when quick amplitude modulations of a light source become undetectable as the frequency of the modulation increases and are thought to underlie a number of visual processing skills, including reading. Here, we compare the impact of two vision-training approaches, one involving contrast sensitivity training

Critical flicker fusion thresholds (CFFTs) describe when quick amplitude modulations of a light source become undetectable as the frequency of the modulation increases and are thought to underlie a number of visual processing skills, including reading. Here, we compare the impact of two vision-training approaches, one involving contrast sensitivity training and the other directional dot-motion training, compared to an active control group trained on Sudoku. The three training paradigms were compared on their effectiveness for altering CFFT. Directional dot-motion and contrast sensitivity training resulted in significant improvement in CFFT, while the Sudoku group did not yield significant improvement. This finding indicates that dot-motion and contrast sensitivity training similarly transfer to effect changes in CFFT. The results, combined with prior research linking CFFT to high-order cognitive processes such as reading ability, and studies showing positive impact of both dot-motion and contrast sensitivity training in reading, provide a possible mechanistic link of how these different training approaches impact reading abilities.

ContributorsZhou, Tianyou (Author) / Nanez, Jose (Author) / Zimmerman, Daniel (Author) / Holloway, Steven (Author) / Seitz, Aaron (Author) / New College of Interdisciplinary Arts and Sciences (Contributor)
Created2016-10-26
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Although autism spectrum disorder (ASD) is a serious lifelong condition, its underlying neural mechanism remains unclear. Recently, neuroimaging-based classifiers for ASD and typically developed (TD) individuals were developed to identify the abnormality of functional connections (FCs). Due to over-fitting and interferential effects of varying measurement conditions and demographic distributions, no

Although autism spectrum disorder (ASD) is a serious lifelong condition, its underlying neural mechanism remains unclear. Recently, neuroimaging-based classifiers for ASD and typically developed (TD) individuals were developed to identify the abnormality of functional connections (FCs). Due to over-fitting and interferential effects of varying measurement conditions and demographic distributions, no classifiers have been strictly validated for independent cohorts. Here we overcome these difficulties by developing a novel machine-learning algorithm that identifies a small number of FCs that separates ASD versus TD. The classifier achieves high accuracy for a Japanese discovery cohort and demonstrates a remarkable degree of generalization for two independent validation cohorts in the USA and Japan. The developed ASD classifier does not distinguish individuals with major depressive disorder and attention-deficit hyperactivity disorder from their controls but moderately distinguishes patients with schizophrenia from their controls. The results leave open the viable possibility of exploring neuroimaging-based dimensions quantifying the multiple-disorder spectrum.

ContributorsYahata, Noriaki (Author) / Morimoto, Jun (Author) / Hashimoto, Ryuichiro (Author) / Lisi, Giuseppe (Author) / Shibata, Kazuhisa (Author) / Kawakubo, Yuki (Author) / Kuwabara, Hitoshi (Author) / Kuroda, Miho (Author) / Yamada, Takashi (Author) / Megumi, Fukuda (Author) / Imamizu, Hiroshi (Author) / Nanez, Jose (Author) / Takahashi, Hidehiko (Author) / Okamoto, Yasumasa (Author) / Kasai, Kiyoto (Author) / Kato, Nobumasa (Author) / Sasaki, Yuka (Author) / Watanabe, Takeo (Author) / Kawato, Mitsuo (Author) / New College of Interdisciplinary Arts and Sciences (Contributor)
Created2016-04-14
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Description

Fetal androgen exposure and childhood experiences are believed to contribute to the development and organization of the hypothalamic-pituitary-adrenal (HPA) and hypothalamic-pituitary-gonadal (HPG) axes, which are responsible for the regulation and release of stress and sex hormones, respectively. Evidence suggests the HPA and HPG axes can couple in response to childhood

Fetal androgen exposure and childhood experiences are believed to contribute to the development and organization of the hypothalamic-pituitary-adrenal (HPA) and hypothalamic-pituitary-gonadal (HPG) axes, which are responsible for the regulation and release of stress and sex hormones, respectively. Evidence suggests the HPA and HPG axes can couple in response to childhood adversity, and that hormonal dysregulation contributes to psychopathological disorders such as anxiety and depression. Recent research also suggests self-compassion interventions could reduce PTSD symptoms, and that the experience of childhood trauma is related to increased empathy. Still, little is known regarding the impact of fetal androgen exposure on PTSD susceptibility and the relationships between self-compassion, compassion for others, and empathy. The current study aims to determine whether fetal androgen exposure mitigates PTSD susceptibility, and to clarify the relationships between empathy, compassion for others, self-compassion, and PTSD symptoms. A sample of 208 adults completed an online survey designed to measure fetal androgen exposure, childhood maltreatment, self-compassion, compassion for others, empathy, and PTSD symptoms. Findings show a significant difference in PTSD symptoms between individuals in high and low fetal androgen exposure groups, and significant correlations were discovered between empathy and compassion for others, empathy and self-compassion, but not compassion for others and self-compassion. Future studies could explore the extent to which fetal androgen exposure influences PTSD symptom susceptibility and the clinical implications therein.

ContributorsMoore, Robin Ann (Author) / Holloway, Steven (Thesis director) / Lewis, Stephen (Committee member) / Nanez, Jose (Committee member) / School of Public Affairs (Contributor) / School of Social and Behavioral Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
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Description
This study evaluated the differences in male and female representation in six different United States law magazines issued from 2005-2017. The initial prediction was that women would appear less often than men in these journals. Four periodicals came from Republican-dominated states, including the Arizona Attorney, Duke Law (NC), S.J.

This study evaluated the differences in male and female representation in six different United States law magazines issued from 2005-2017. The initial prediction was that women would appear less often than men in these journals. Four periodicals came from Republican-dominated states, including the Arizona Attorney, Duke Law (NC), S.J. Quinney’s Res Gestae (UT), and the Notre Dame Lawyer (IN) (no issues published in 2014 through 2016). Two of these magazines were from Democratic regions: Berkeley’s Boalt Hall Transcript (now known as Transcript) (CA) and Richmond Law (VA). Photographic depictions of people within the magazines were recorded, only if text directly referenced the individual(s) as being a lawyer (i.e., attorney, public defender, counselor, associate, and lawyer). The number of male and female depictions in each journal were totaled, and means were compared. The data showed that women were underrepresented in all six of the journals, with effect sizes varying from medium to large. It was also found that although the unequal representation was evident in both red and blue states, the inequity gap was much larger in the red states. Overall, this data supports the notion that depictions of women are underrepresented in law magazines in a profession where they make up half of law school graduates as well as students preparing to enter the legal workforce. However, the gender percentages of those who pass the Bar exam would need to be examined to know more. This lack of parity in gender representations is likely due to society’s stereotypical views of women’s and men’s roles in the context of male-dominated professions, but it also seems to be exacerbated, in part, by a state’s political affiliation. This potential equality issue may have gone unnoticed if it weren’t for research that looks into gender differences, such as this study, which should be taken further by others to gather more data on possible discrimination and produce necessary solutions.
ContributorsReissen, Emily Brook (Author) / Holloway, Steven (Thesis director) / Van Etten, Kathryn (Committee member) / School of Social and Behavioral Sciences (Contributor, Contributor) / Barrett, The Honors College (Contributor)
Created2020-05
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Lutein and zeaxanthin are two important carotenoid vitamins related to ocular health and human visual processing. These vitamins can be ingested through supplementation and in regular diet. They concentrate in the central retina where they form a filter of macular pigment and protect the eye from high energy blue and

Lutein and zeaxanthin are two important carotenoid vitamins related to ocular health and human visual processing. These vitamins can be ingested through supplementation and in regular diet. They concentrate in the central retina where they form a filter of macular pigment and protect the eye from high energy blue and yellow light. We examined participants who had a natural diet of high vs low lutein and zeaxanthin intake on tests of contrast sensitivity and glare disability. We also examined participant performance while wearing blue light blocking glasses in order to determine whether these glasses serve a similar protective function as macular pigment in benefiting participants on contrast sensitivity and glare disability tasks. Most of our data did not show statistically significant differences between the high and low lutein and zeaxanthin groups. An unexpected result that the blue blocker glasses hindered the ability of low lutein participants on their glare disability test was observed. We hypothesize that this is due to light scatter produced by the by glasses resulting in an impoverish retinal image reaching the primary visual cortex. Further research is required to examine this new finding.
ContributorsHormann, Breanna Susanne (Author) / Holloway, Steven (Thesis director) / Náñez Sr., José E (Committee member) / School of Mathematical and Natural Sciences (Contributor) / School of Social and Behavioral Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
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Androgen has been shown to affect functioning of the central nervous system by modulating neural circuitry during in-utero development subsequently affecting parts of the brain implicated in the evaluation of socially relevant stimuli. This can suggest an examination of underlying neurobiological mechanisms that may influence androgen in the brain and

Androgen has been shown to affect functioning of the central nervous system by modulating neural circuitry during in-utero development subsequently affecting parts of the brain implicated in the evaluation of socially relevant stimuli. This can suggest an examination of underlying neurobiological mechanisms that may influence androgen in the brain and likewise human cognition and behavior. Since the index and ring finger ratio is associated with androgen related outcomes, this study sought to identify a relationship between a participant's implicit race association test score and left-handed ring (4D) and index (2D) finger ratio. Specifically, we found that higher androgen exposure in our female subjects equated to a stronger bias for European American faces over African American faces.
ContributorsSaari, Sydney (Author) / Holloway, Steven (Thesis director) / Kim, Linda (Committee member) / Nanez, Jose (Committee member) / Barrett, The Honors College (Contributor)
Created2018-05
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Factors affecting juror decision-making have been studied extensively to determine what drives juror's decisions (Skorinko, Laurent, Bountress, Nyein, and Kuckuck, 2014). In utero androgen exposure measured using the 4D:2D ratio has been studied to understand how the amount of in utero androgen individuals are exposed to affects their personality and

Factors affecting juror decision-making have been studied extensively to determine what drives juror's decisions (Skorinko, Laurent, Bountress, Nyein, and Kuckuck, 2014). In utero androgen exposure measured using the 4D:2D ratio has been studied to understand how the amount of in utero androgen individuals are exposed to affects their personality and emotional development (Manning et. al., 2010; Kempe and Heffernan, 2011; Hampson, Ellis and Tenk, 2008; Fink, Manning and Neave, 2004; Knickmeyer, Baron-Cohen, Raggatt, Taylor and Hackett, 2006; Knickmeyer and Baron-Cohen, 2006; Wakabayashi and Nakazawa, 2010). Using 106 undergraduate students, the current study sought to understand how the 4D:2D ratio affects juror decision-making in civil cases by having participants assign a proportion of liability to a defendant. Participants reviewed jury instructions, as well as three case vignettes. One of these case vignettes was removed due to a description error that led almost all of the participants to find the plaintiff at fault. This study had three different experimental groups where age of the plaintiff was counterbalanced to control age as a factor in the amount of liability assigned. It was hypothesized that a higher 4D:2D ratio would result in lower defendant liability. Here we show that there was a significantly lower proportion of defendant liability assigned by the high 4D:2D ratio group as compared to the low 4D:2D ratio group; t(210) = 2.89, p < 0.01, d = 0.36. Interestingly, despite the difference between the group means, variability was such that the 4D:2D ratio was not predictive of the proportion of defendant liability assigned for experimental conditions.
ContributorsAnderson, Kayla Jo (Author) / Holloway, Steven (Thesis director) / Salerno, Jessica (Committee member) / Van Etten, Kathy (Committee member) / School of Social and Behavioral Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2017-12