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Quasi-metric antipodal spaces and maximal Gromov hyperbolic spaces
Hyperbolic fillings of metric spaces are a well-known tool for proving results on extending quasi-Moebius maps between boundaries of Gromov...
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Maximal Domains of Radial Harmonic Functions
We examine the maximal domain of radial harmonic functions on harmonic spaces in the context of positive, zero, and negative curvature.
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Weak-Type (1,1) Inequality for Discrete Maximal Functions and Pointwise Ergodic Theorems Along Thin Arithmetic Sets
We establish weak-type (1, 1) bounds for the maximal function associated with ergodic averaging operators modeled on a wide class of thin...
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A maximal-clique-based set-covering approach to overlap** community detection
An inherent limitation of many popular community detection methods, such as the walktrap and spin glass algorithms, is that they do not allow...
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On the admissibility of observation operators in the context of maximal regularity
We study admissible observation operators for perturbed evolution equations using the concept of maximal regularity. We first show the invariance of...
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The Dynamics of Pasture–Herbivores–Carnivores with Sigmoidal Density Dependent Harvesting
We investigate biomass–herbivore–carnivore (top predator) interactions in terms of a tritrophic dynamical systems model. The harvesting rates of the...
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Stability Criterion for Maximal Terms of Dirichlet Series
We study the behavior of the maximal term of the Dirichlet series with positive exponents the sum of which is an entire function. For the class of...
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On Boundedness of Maximal Operators Associated with Hypersurfaces
In this paper, we obtain a criterion of boundedness of maximal operators associated with smooth hypersurfaces. Also, we compute the exact value of...
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Function spaces
This chapter presents an in-depth study of several classes of vector-valued function spaces defined by smoothness conditions.
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Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations
We present two criteria for the existence and uniqueness of a maximal strong solution for a general class of stochastic partial differential...
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On Connecting Density Functional Approximations to Theory
Usually, density functional models are considered approximations to density functional theory, However, there is no systematic connection between the...
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Asymptotic normality of error density estimator in stationary and explosive autoregressive models
In this paper, we consider the limit distribution of the error density function estimator in the first-order autoregressive models with negatively...
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Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect
In this paper, we examine a stochastic avian influenza model with a nonlinear incidence rate within avian populations and the psychological effect...
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Maximal Displacement of Branching Symmetric Stable Processes
We determine the limiting distribution and the explicit tail behavior for the maximal displacement of a branching symmetric stable process with...