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Rates of asymptotic regularity for the alternating Halpern–Mann iteration
In this paper we extend to UCW -hyperbolic spaces the quantitative asymptotic regularity results for the alternating Halpern–Mann iteration obtained...
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On Some Asymptotic Expansions of Skew Diffusions
Relying on a perturbation technique of Markov semigroup, also known as the parametrix method, we establish some asymptotic expansion for the Markov...
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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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Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain
We consider an initial boundary value problem of the multi-dimensional Boussinesq equations in the absence of thermal diffusion with velocity dam**...
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Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme
In this paper, we introduce and analyze an asymptotic-preserving scheme for Lotka–Volterra parabolic equations. It is a class of nonlinear and...
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Asymptotic Behavior for Multi-scale SDEs with Monotonicity Coefficients Driven by Lévy Processes
In this paper, we study the asymptotic behavior for multi-scale stochastic differential equations driven by Lévy processes. The optimal strong...
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On asymptotic stability of the 3D Boussinesq equations without heat conduction
We investigate the asymptotic stability of the solutions to Boussinesq equations without heat conduction with the initial data near a specific...
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Edge ideals of Erdős–Rényi random graphs: linear resolution, unmixedness and regularity
We study the homological algebra of edge ideals of Erdős–Rényi random graphs. These random graphs are generated by deleting edges of a complete...
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On Asymptotic Stability of Boussinesq Equations Without Heat Conduction
This is a survey paper on our recent results concerning the asymptotic stability of certain stationary solution to Boussinesq equations without heat...
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Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation
This survey hinges on the interplay between regularity and approximation for linear and quasilinear fractional elliptic problems on Lipschitz...
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Asymptotic Stability of Equilibrium States with Variable Temperature Gradient to the Boussinesq System Without Thermal Conduction
We study the asymptotic stability of equilibrium states with positive (and variable) temperature gradient to the Boussinesq system without thermal...
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Regularity Estimates and Open Problems in Kinetic Equations
We survey some new results regarding a priori regularity estimates for the Boltzmann and Landau equations conditional to the boundedness of the...
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Removable singularities and unbounded asymptotic profiles of multi-dimensional Burgers equations
This paper is concerned with the unbounded radially symmetric profiles and their asymptotic stability of the multi-dimensional Burgers equations on...
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Optimal Matching of Random Samples and Rates of Convergence of Empirical Measures
This note surveys some recent developments of current research, and challenging open questions, on the Euclidean random optimal matching problem and...
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A Semiparametric Additive-multiplicative Rates Model for the Weighted Composite Endpoint of Recurrent and Terminal Events
Recurrent event data are commonly encountered in many scientific fields, including biomedical studies, clinical trials and epidemiological surveys,...
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Effects of dispersal rates in a two-stage reaction-diffusion system
It is well known that in reaction-diffusion models for a single unstructured population in a bounded, static, heterogeneous environment, slower...
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Sample average approximation with heavier tails I: non-asymptotic bounds with weak assumptions and stochastic constraints
We derive new and improved non-asymptotic deviation inequalities for the sample average approximation (SAA) of an optimization problem. Our results...
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On the consistency and asymptotic normality of multiparameter persistent Betti numbers
The persistent Betti numbers are used in topological data analysis (TDA) to infer the scales at which topological features appear and disappear in...
