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…

This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th…

Let (fλ)λ∈Λ be a holomorphic family of rational maps of degree d≥2 on P1 with dim(Λ)=m. Let ωΛ be a Kähler form on Λ. Assume that c1,…,ck are marked critical points and let T1,…,Tk be their respective bifurcation currents (see Section 2.1).

In the moduli space of degree d polynomials, we prove the equidistribution of postcritically finite polynomials toward the bifurcation measure. More …

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…

Rational large Reynolds number matched asymptotic analyses of three-dimensional magneto-hydrodynamic dynamo states are concerned. The dynamos, here a…

We present full accounts of a method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpter amplitude in lattice QCD. The method is applie…

Procedures in assessing the impact of serial dependency on performance analysis are usually built on parametrically specified models. In this paper, …

For unconstrained control problems, a local convergence rate is established for an $hp$-method based on collocation at the Radau quadrature points in…

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…

Recently, deep learning approaches with various network architectures have achieved significant performance improvement over existing iterative recon…

We design an asymptotic-preserving scheme for the semiconductor Boltzmann equation which leads to an energy-transport system for electron mass and in…

Elastic-scattering phase shifts for four-nucleon systems are studied in an $ab$-$initio$ type cluster model in order to clarify the role of the tenso…

We present a mathematical theory of time-harmonic wave propagation and reflection in a two-dimensional random acoustic waveguide with sound soft boun…

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

We have developed a generic scheme for reformulating any linear system as a stochastic problem, which has several seemingly different but nevertheless equivalent interpretations: stochastic optimization problem, stochastic linear system, stochastic …

We develop a family of reformulations of an arbitrary consistent linear system into a stochastic problem. The reformulations are governed by two user…

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…

This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging meth…

We present an extension of the Standard Model inspired by the E_8 x E_8 Heterotic String. In order that a reasonable effective Lagrangian is presente…

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