Mathematics and Statistics
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The Department of Mathematics and Statistics in the College of Science offers courses leading to the degrees of Bachelor of Science or Bachelor of Arts with a major in mathematics, Master of Science with a major in mathematics and Master of Arts for the teaching of mathematics. The department offers a complete complement of courses in a broad range of areas within mathematics including: applied mathematics, C*Algebras, discrete mathematics/operations research, game theory, geometry, topology, and statistics.
Mathematics is a language used in conveying the understanding of the physical world. It forms a crucial component in physics and engineering applications, business, economics, life sciences, social sciences and any other area where there is a need for quantification in analysis of phenomena.
Theses and Dissertations for Mathematics and Statistics
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Quantifying the signature of sediment composition on the topologic and dynamic complexity of river delta channel networks and inferences toward delta classification
(Geophysical Research Letters, 2016)Deltas contain complex selforganizing channel networks that nourish the surface with sediment and nutrients. Developing a quantitative understanding of how controlling physical mechanisms of delta formation relate to the ... 
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Genomewide association analysis identifies common variants influencing infant brain volumes
(2017)Genomewide association studies (GWAS) of adolescents and adults are transforming our understanding of how genetic variants impact brain structure and psychiatric risk, but cannot address the reality that psychiatric ... 
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Entropy and optimality in river deltas
(2017)The form and function of river deltas is intricately linked to the evolving structure of their channel networks, which controls how effectively deltas are nourished with sediments and nutrients.Understanding the coevolution ... 
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Balancing an Academic Career in Mathematics with Motherhood and Life's Other Passions
(2018)I became a mother while a postdoctoral fellow, and solved my twobody problem shortly thereafter, becoming a tenuretrack professor in mathematics and statistics. My plan to have a second child came with an unexpected ... 
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Modeling Financial System with Interbank Flows, Borrowing, and Investing
(2018)In our model, private actors with interbank cash flows similar to, but more general than that by Carmona et al. (2013) borrow from the nonbanking financial sector at a certain interest rate, controlled by the central bank, ... 
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Scaledependent erosional patterns in steadystate and transientstate landscapes
(2017)Landscape topography is the expression of the dynamic equilibrium between external forcings (for example, climate and tectonics) and the underlying lithology. The magnitude and spatial arrangement of erosional and depositional ... 
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Network robustness assessed within a dual connectivity framework: joint dynamics of the Active and Idle Networks
(2017)Network robustness against attacks has been widely studied in fields as diverse as the Internet, power grids and human societies. But current definition of robustness is only accounting for half of the story: the connectivity ... 
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Aligning evidence: concerns regarding multiple sequence alignments in estimating the phylogeny of the Nudibranchia suborder Doridina
(2017)Molecular estimates of phylogenetic relationships rely heavily on multiple sequence alignment construction. There has been little consensus, however, on how to properly address issues pertaining to the alignment of variable ... 
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Stochastic shielding and edge importance for Markov chains with timescale separation
(2018)Nerve cells produce electrical impulses ("spikes") through the coordinated opening and closing of ion channels. Markov processes with voltagedependent transition rates capture the stochasticity of spike generation at the ... 
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Stochastic shielding and edge importance for Markov chains with timescale separation
(2018)Nerve cells produce electrical impulses ("spikes") through the coordinated opening and closing of ion channels. Markov processes with voltagedependent transition rates capture the stochasticity of spike generation at the ... 
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Fluid flows of mixed regimes in porous media
(2017)In porous media, there are three known regimes of fluid flows, namely, preDarcy, Darcy, and postDarcy. Because of their different natures, these are usually treated separately in the literature. To study complex flows ... 
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Sleep Apnea and Hypoventilation in Patients with Down Syndrome: Analysis of 144 Polysomnogram Studies
(2017)Patients with Down syndrome (DS) are at risk for both obstructive sleep apnea (OSA) and central sleep apnea (CSA) 
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Certain bivariate distributions and random processes connected with maxima and minima
(2018)The minimum and the maximum of t independent, identically distributed random variables have (F) over bar (t) and Ft for their survival (minimum) and the distribution (maximum) functions, where (F) over bar = 1  F and F ... 
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Certain bivariate distributions and random processes connected with maxima and minima
(2018)The minimum and the maximum of t independent, identically distributed random variables have (F) over bar (t) and Ft for their survival (minimum) and the distribution (maximum) functions, where (F) over bar = 1  F and F ... 
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Behavior Responses to Chemical and Optogenetic Stimuli in Drosophila Larvae
(2018)An animal's ability to navigate an olfactory environment is critically dependent on the activities of its firstorder olfactory receptor neurons (ORNs). While considerable research has focused on ORN responses to odorants, ... 
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Solvability of a multipoint boundary value problem of Neumann type
(1999)Let f:[0,1]×?2?? be a function satisfying Carathéodory's conditions and e(t)?L1[0,1]. Let ?i?(0,1),ai??,i=1,2,…,m?2,0<?1<?2<?<?m?2<1 be given. This paper is concerned with the problem of existence of a solution for the ... 
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Impulse Control in KalmanLike Filtering Problems
(1998)This paper develops the impulse control approach to the observation process in Kalmanlike filtering problems, which is based on impulsive modeling of the transition matrix in an observation equation. The impulse control ... 
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Existence theorems for a second order mpoint boundary value problem at resonance
(1995)Let f:[0,1]×R2?R be function satisfying Caratheodory's conditions and e(t)?L1[0,1]. Let ??(0,1), ?i?(0,1), ai?0, i=1,2,…,m?2, with ?i=1m?2ai=1, 0<?1<?2<…<?m?2<1 be given. This paper is concerned with the problem of existence ... 
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Emergency Control of Unstable Behavior of Nonlinear Systems Induced by Fault
(1998)This paper presents the emergency control approach intended to urgently return to the stability basin the system states affected by abrupt changes in certain system coefficients on a short time interval. Because of its ...