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Browsing Mathematics and Statistics  Faculty Research by Title
Now showing items 1028 of 28

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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 ... 
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Probability of ruin in discrete insurance risk model with dependent Pareto claims
(2019)We present basic properties and discuss potential insurance applications of a new class of probability distributions on positive integers with power law tails. The distributions in this class are zeroinflated discrete ... 
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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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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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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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Solvability for a Nonlinear ThreePoint Boundary Value Problem with PLaplacianLike Operator at Resonance
(2001)The purpose of this paper is to study the following threepoint boundary value problem which contains the nonlinear operator (φ(u )) , φ(u ) = f (t, u, u ), u (a) = 0, u(η) = u(b), (1.1) where η ∈ (a, b) is ... 
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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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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 ...