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Asymptotic Analysis of Regular Sequences [PDF]

open access: yesAlgorithmica, 2019
Abstract In this article, q-regular sequences in the sense of Allouche and Shallit are analysed asymptotically. It is shown that the summatory function of a regular sequence can asymptotically be decomposed as a finite sum of periodic fluctuations multiplied by a scaling factor. Each of these terms corresponds to an eigenvalue of the sum of matrices of
Clemens Heuberger, Daniel Krenn
openaire   +5 more sources

A Model for Reinfections and the Transition of Epidemics

open access: yesViruses, 2023
Reinfections of infected individuals during a viral epidemic contribute to the continuation of the infection for longer periods of time. In an epidemic, contagion starts with an infection wave, initially growing exponentially fast until it reaches a ...
Yannis C. Yortsos, Jincai Chang
doaj   +1 more source

Sequential Interval Reliability for Discrete-Time Homogeneous Semi-Markov Repairable Systems

open access: yesMathematics, 2021
In this paper, a new reliability measure, named sequential interval reliability, is introduced for homogeneous semi-Markov repairable systems in discrete time.
Vlad Stefan Barbu   +2 more
doaj   +1 more source

Asymptotic analysis of the steady advection-diffusion problem in axial domains [PDF]

open access: yesOpuscula Mathematica, 2023
We present the asymptotic analysis of the steady advection-diffusion equation in a thin tube. The problem is modeled in a mixed-type variational formulation, in order to separate the phenomenon in the axial direction and a transverse one.
Fernando A. Morales
doaj   +1 more source

Cruising speed of a cylindrical wing performing small translational-rotational oscillations

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2022
This work considers the propulsive motion of a flapping wing of a circular cross section. The problem of harmonic translational-rotational oscillations of the wing with an arbitrary phase shift in a viscous incompressible fluid, the motion of which is ...
A.N. Nuriev
doaj   +1 more source

A note on the MHD flow in a porous channel [PDF]

open access: yesTheoretical and Applied Mechanics, 2022
In this paper we study the flow of a viscous incompressible conducting fluid through a corrugated channel filled with a porous medium. The fluid flow in the channel is under the action of the transverse magnetic field and driven by the pressure drop ...
Marušić-Paloka Eduard, Pažanin Igor
doaj   +1 more source

Scaling Limits of a Tandem Queue with Two Infinite Orbits

open access: yesMathematics, 2023
This paper considers a tandem queueing network with a Poisson arrival process of incoming calls, two servers, and two infinite orbits by the method of asymptotic analysis.
Anatoly Nazarov   +3 more
doaj   +1 more source

Asymptotic Analysis of Hoppe Trees [PDF]

open access: yesJournal of Applied Probability, 2013
We introduce and analyze a random tree model associated to Hoppe's urn. The tree is built successively by adding nodes to the existing tree when starting with the single root node. In each step a node is added to the tree as a child of an existing node, where these parent nodes are chosen randomly with probabilities proportional to their weights.
Leckey, Kevin, Neininger, Ralph
openaire   +5 more sources

Performance Analysis of Regularized Convex Relaxation for Complex-Valued Data Detection

open access: yesMathematics, 2022
In this work, we study complex-valued data detection performance in massive multiple-input multiple-output (MIMO) systems. We focus on the problem of recovering an n-dimensional signal whose entries are drawn from an arbitrary constellation K⊂C from m ...
Ayed M. Alrashdi, Houssem Sifaou
doaj   +1 more source

Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting

open access: yesComputation, 2021
Chemotaxis describes the movement of an organism, such as single or multi-cellular organisms and bacteria, in response to a chemical stimulus. Two widely used models to describe the phenomenon are the celebrated Keller–Segel equation and a chemotaxis ...
Kathrin Hellmuth   +3 more
doaj   +1 more source

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