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In this talk, we introduce occupation fields for vertices and oriented edges and compute their distributions. More precisely, under the Markov loop measure, the expected number for crossings of an ori...
In recent work with Will Johnson, we have shown that given a curve C over the rational number field Q with genus at least 2 and C(Q) is empty, the class of fields K of characteristic 0 such that C(K) ...
In this talk, we define a new class of differential fields called separably differentially closed fields and show their several characterizations by comparing them with differentially closed fields of...
The theory of fields expanded by a unary function symbol for a multiplicative endomorphism admits a model-companion, we denote it ACFH. It is a new example of an NSOP1 theory which is not simple. I wi...
In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
本报告首先回顾传统低频涡流场的两种计算格式,指出有限元编程实现过程中的基函数选择以及需要注意的难点问题。第二部分针对静磁场问题,通过引入规范条件提出了一种基于矢量磁位和磁场强度的新型的对偶格式,该方法通过巧妙构造基于矢量磁位和磁场强度的计算格式,整体矩阵完全一致并且可以给出系统电感参数的上下界,在实际参数提取中有很好的应用前景。在第三部分,由于传统低频涡流场近似不能有效考虑分布电容效应,而传统高频...
Wan and Zhang have recently obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a problem whether their bound can be improved. ...
A difference field is a field with a distinguished automorphism. Automorphisms of a finite field are powers of the Frobenius map. In this talk, I will discuss how to estimate the number of rational po...
For each central charge c\in (0,1], we construct a conformally invariant field which is a measurable function of the local time field \mathcal{L} of the Brownian loop soup with intensity c and i.i.d. ...
Multiphase gas structure is ubiquitous in our universe. Recent observations suggest that large quantities of cool (10^4 K) gas are detected in the circumgalactic medium (CGM) of galaxy halos, which ex...
This talk concerns trajectory planning problems of an autonomous vehicle for field exploration, where the vehicle needs to accumulate sufficient information on a spatio-temporal field and to reach a d...
Physicists in the MIT-Harvard Center for Ultracold Atoms (CUA) have developed a new approach to control the outcome of chemical reactions. This is traditionally done using temperature and chemical cat...
Event Horizon Telescope scientists, who produced the first image of a black hole, have revealed a new view of the massive object at the center of the M87 galaxy, showing how it looks in polarized...
A team of Brown University physicists has developed a new type of compact, ultra-sensitive magnetometer. The new device could be useful in applications involving weak magnetic fields, the re...
Vast rings of electrically charged particles encircle the Earth and other planets. Now, a team of scientists has conducted research into waves that travel through this magnetic, electrically charged e...

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