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Browsing Mathematics and Statistics  Faculty Research by Title
Now showing items 1928 of 28

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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 ...