The varying-coefficient model is an important nonparametric statistical model that allows us to examine how the effects of covariates vary with expos…

Heterogeneity is often natural in many contemporary applications involving massive data. While posing new challenges to effective learning, it can pl…

A general framework is developed to investigate the properties of useful choices of stationary spacelike slicings of stationary spacetimes whose cong…

We study locking of the modulation frequency of a relative periodic orbit in a general $S^1$-equivariant system of ordinary differential equations un…

In this paper, a new approach based on convex analysis is introduced to solve the $H_\infty$ problem for discrete-time nonlinear stochastic systems. …

This paper is concerned with inverse scattering of plane waves by a locally perturbed infinite plane (which is called a locally rough surface) with t…

A classical problem in matrix computations is the efficient and reliable approximation of a given matrix by a matrix of lower rank. The truncated sin…

The traditional difficulty about stochastic singular control is to characterize the regularities of the value function and the optimal control policy…

In this paper we illustrate the simplifications produced by FDR in NNLO computations. We show with an explicit example that - due to its four-dimensi…

The history of modern condensed matter physics may be regarded as the competition and reconciliation between Stoner's and Anderson's physical picture…

The rules to write out any one of the linearly independent functions belonging to the infinite set of those in polynomial form that satisfy the sourc…

Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariant…

Jet quenching has become an essential signal for the characterization of the medium formed in experiments of heavy-ion collisions. After a brief intr…

We consider the nonlinear, inverse problem of identifying the stored energy function of a hyperelastic material from full knowledge of the displaceme…

In this paper, we study the stabilization problem for the Ito systems with both multiplicative noise and multiple delays which exist widely in applic…

In this paper we explore how concepts of high-dimensional data compression via random projections onto lower-dimensional spaces can be applied for tr…

We consider the flow of a Newtonian fluid in a three-dimensional domain, rotating about a vertical axis and driven by a vertically invariant horizont…

This section is devoted to proving Theorems 3.2 and 3.3. Firstly, we show a technical result.

This paper is the first part of our series work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this par…

We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by general, quasilinear, first-order hyperbol…

The translation of a bubble under the action of an acoustic forcing finds applications in fields ranging from drug delivery to sonoluminesce. This ph…

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