supported by the National Science Foundation Grant PHY-1818914;a Samsung Advanced Institute of Technology Global Research Partnership。
Classical simulation of quantum many-body systems is a fundamental problem in computational physics.One difficulty is that a generic many-body state cannot even be represented in polynomial space because the dimension...
An adaptive color image filter (ACIF) is proposed in this note. Through analyzing noise corruption of color image, efficient locally adaptive filters are chosen for image enhancement. The proposed adaptive color image...
For discrete time case a characterization of locally risk-minimizing strategies is given. Based on this characterization, it is evident that risk-minimizing strategies must be locally risk-minimizing.
In this note, the following unconstrained nonsmooth optimization problem is considered where f(x):R^n→R is only a locally Lipschitzian function. Many papers appear on the convergence properties of the trust region al...
Project supported by the Natural Science Foundation of Shandong Province.
Many authors have studied the limit hehavior of the sequence of probability measureon a topological group or scmigroup.As to the description of the limit behavior of the sequence by the essential point setof the convo...
In Refs. [1] and [2], the authors gave the solutions of linear systems of a class with ranges in a Banach space. In distributed parameter systems, because many spaces of the functions of solutions are not Banach space...
Project supported by the Natural Science Foundation of Jiangxi Province
1 Introduction Let (M, g) be a compact and connected Riemannian manifold. The Laplace operator △ on functions on M has a discrete spectrum Spec(M, g)= {0=λ0<λ1≤λ2≤…}. We ...
Project supported by the National Natural Science Foundation of China
Suppose that Ω is a domain in complex n-space C^n, n≥2 and f is a locally biholomorphic mapping from Ω to C^n. One of the interesting problems in several complex variables is to determine the conditions under which...
Project supported partly by the National Natural Science Foundation of China
Let S be a locally compact second countable Hausdorff topological semigroup. The set of all regular probability measures defined on S is denoted by P(S). For p∈P(S),