arXiv subjects

Yue Ma

Publications and source records attributed to Yue Ma.

204 records · Page 12Linked to original sources

arXiv2012

A certificate for semidefinite relaxations in computing positive dimensional real varieties

For an ideal I with a positive dimensional real variety, based on moment relaxations, we study how to compute a Pommaret basis which is simultaneously a Groebner basis of an ideal J generated by the kernel of a truncated moment matrix and nesting between I and its real radical ideal. We provide a certificate consisting of a condition on coranks of moment matrices for terminating the algorithm. For a generic delta-regular coordinate system, we prove that the condition is satisfiable in a large enough order of moment relaxations.

math.OC↗

arXiv2012

Unexpected Surface Implanted Layer in Static Random Access Memory Devices Observed by Microwave Impedance Microscope

Real-space mapping of doping concentration in semiconductor devices is of great importance for the microelectronic industry. In this work, a scanning microwave impedance microscope (MIM) is employed to resolve the local conductivity distribution of a static random access memory (SRAM) sample. The MIM electronics can also be adjusted to the scanning capacitance microscopy (SCM) mode, allowing both measurements on the same region. Interestingly, while the conventional SCM images match the nominal device structure, the MIM results display certain unexpected features, which originate from a thin layer of the dopant ions penetrating through the protective layers during the heavy implantation steps.

cond-mat.mes-hall↗

arXiv2012

The K1.8BR spectrometer system at J-PARC

A new spectrometer system was designed and constructed at the secondary beam line K1.8BR in the hadron hall of J-PARC to investigate $\bar K N$ interactions and $\bar K$-nuclear bound systems. The spectrometer consists of a high precision beam line spectrometer, a liquid $^3$He/$^4$He/D$_2$ target system, a Cylindrical Detector System that surrounds the target to detect the decay particles from the target region, and a neutron time-of-flight counter array located $\sim$15 m downstream from the target position. Details of the design, construction, and performance of the detector components are described.

physics.ins-det↗

arXiv2011

Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions

In this article one will discuss the system of coupled nonlinear Klein-Gordon equations with different velocities and different masses. The nonlinearity considered is a general quadratic nonlinearity without any restriction. The method is a classical boot-strap argument combined with a serious of techniques including conformal energy estimate, global sobolev's lemma and Hardy type inequalities.

math.AP↗

arXiv2011

The Minimum-Rank Gram Matrix Completion via Modified Fixed Point Continuation Method

The problem of computing a representation for a real polynomial as a sum of minimum number of squares of polynomials can be casted as finding a symmetric positive semidefinite real matrix (Gram matrix) of minimum rank subject to linear equality constraints. In this paper, we propose algorithms for solving the minimum-rank Gram matrix completion problem, and show the convergence of these algorithms. Our methods are based on the modified fixed point continuation (FPC) method. We also use the Barzilai-Borwein (BB) technique and a specific linear combination of two previous iterates to accelerate the convergence of modified FPC algorithms. We demonstrate the effectiveness of our algorithms for computing approximate and exact rational sum of squares (SOS) decompositions of polynomials with rational coefficients.

math.OC↗

arXiv2009

Self-Sustained Collective Oscillation Generated in an Array of Non-Oscillatory Cells

Oscillations represent a ubiquitous phenomenon in biological systems. The conventional models of biological periodic oscillations are usually proposed as interconnecting transcriptional feedback loops. Some specific proteins function as transcription factors, which in turn negatively regulate the expression of the genes that encode those "clock protein". These loops may lead to rhythmic changes in gene expression of a cell. In the case of multi-cellular tissue, the collective oscillation is often obtained from synchronization of these cells, which manifest themselves as autonomous oscillators. In contrast, here, we propose a different scenario for the occurrence of collective oscillation in a multi-cellular system independent of oscillation, neither intrinsically oscillatory cells nor periodic external stimulation. It is a coupling induced oscillation, with the consideration of wave propagation due to the intracellular communication.

nlin.PS↗