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Comparison Theorems for Stochastic Chemical Reaction Networks
Continuous-time Markov chains are frequently used as stochastic models for chemical reaction networks, especially in the growing field of systems...
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Differential Equations for Probabilities and Means
The analysis of diffusion processes with state-dependent drift or variance terms is complex and will often require recourse to numerical techniques....
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Discrete Random Walks
We consider and analyze processes moving in discrete time steps through a discrete state space. For simple random walks with and without a drift...
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A MAP/PH/1 Queue with Setup Time, Bernoulli Schedule Vacation, Balking and Bernoulli Feedback
A classical model with the unique server, phase-type service distribution, inter-arrival times following the Markovian arrival process and other...
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Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Step**
In this work we study various continuous finite element discretization for two dimensional hyperbolic partial differential equations, varying the...
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Time delays
People who have been stuck in traffic are familiar with the negative impact that slow human reaction times have on performance [659, 813]. Thus, it...
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Pointwise Fixation along the Edge of a Kirchhoff Plate
We address the Sobolev–Neumann problem for the bi-harmonic equation describing the bending of the Kirchhoff plate with a traction-free edge but fixed...
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Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process
In this paper, considering the inevitable effects of environmental perturbations on disease transmission, we mainly study a stochastic SVEIR epidemic...
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Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation
First-passage percolation is the study of the metric space $$(\mathbb...
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Transition Years, 1935–39—A Time of Uncertainty
In this chapter, we follow Kurt Gödel’s life and work through the years 1935–1939. By early 1933, he had completed his education, obtaining the...
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The Impact of Prof. C. R. Rao’s Research Used in Solving Problems in Applied Probability
The author has, over his career, made a number of contributions to the analysis of a range of problems involving the application of generalized...
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Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks
We study the exit time of two-dimensional dynamical systems perturbed by a small noise that exhibits two peculiar behaviors: (1) The maximum of the...
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p-Adic Markov Process and the Problem of First Return Over Balls
We consider a pseudodifferential operator defined as follows: H α φ = ℱ −1 [(〈 ξ 〉 α − p rα )ℱ φ ], where 〈 ξ 〉 α = (max{| ξ | p , p r }) α , and study the Markov process...
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On the compressible micropolar fluids in a time-dependent domain
We investigate compressible micropolar fluids on a time-dependent domain with slip boundary conditions. Our contribution in this paper is threefold....