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Browsing Mathematics and Statistics  Faculty Research by Title
Now showing items 120 of 28

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A 3D Numerical Study of Interface Effects Influencing Viscous Gravity Currents in a Parabolic Fissure, with Implications for Modeling with 1D Nonlinear Diffusion Equations
(2019)Although onedimensional nonlinear diffusion equations are commonly used to model flow dynamics in aquifers and fissures, they disregard multiple effects of reallife flows. Similarity analysis may allow further analytical ... 
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A note on transportation cost inequalities for diffusions with reflections
(2019)We prove that reflected Brownian motion with normal reflections in a convex domain satisfies a dimension free Talagrand type transportation costinformation inequality. The result is generalized to other reflected diffusion ... 
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A SingleSubject Method to Detect Pathways Enriched With Alternatively Spliced Genes
(2019)Participants in White et al.’s (1) study performed a semantic categorization task while viewing pairs of words presented simultaneously to the right and left of fixation. On each trial, participants viewed two briefly ... 
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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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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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Bayesian panel smooth transition model with spatial correlation
(2019)In this paper, we propose a spatial lag panel smoothing transition regression (SLPSTR) model ty considering spatial correlation of dependent variable in panel smooth transition regression model. This model combines advantages ... 
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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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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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Delta channel networks: 1. A graphtheoretic approach for studying connectivity and steady state transport on deltaic surfaces
(Water Resources Research, 2015)River deltas are intricate landscapes with complex channel networks that selforganize to deliver water, sediment, and nutrients from the apex to the delta top and eventually to the coastal zone. The natural balance of ... 
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Delta channel networks: 2. Metrics of topologic and dynamic complexity for delta comparison, physical inference, and vulnerability assessment
(Water Resources Research, 2015)Deltas are landforms that deliver water, sediment and nutrient fluxes from upstream rivers to the deltaic surface and eventually to oceans or inland water bodies via multiple pathways. Despite their importance, quantitative ... 
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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 ... 
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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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Existence theorems for a second order mpoint boundary value problem at resonance
(1995)Let f [0, I] R R be function satisfying Caratheodory’s conditions and e(t) L[0, 1]. Let r/( (0,1), ’, (0,1), a, >_ 0, 1,2, ,m 2, with ,,2 ai 1, 0 < f < f2 < < ,2 < be given. This paper is concerned with the problem ... 
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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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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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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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InSphere Property and Reverse Inequalities for Matrix Means
(2019)The insphere property for matrix means is studied. It is proved that the matrix power mean satisfies insphere property with respect to the HilbertSchmidt norm. A new characterization of the matrix arithmetic mean is ... 
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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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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 ...