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I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
In this talk, I will give a survey of results related to the problem of computing Hausdorff dimension of various dynamically defined sets, such as singular vectors. The aim is to try to describe the l...
简要介绍概率论中的耦合方法及其在基础数学中的应用。引入新的变测度耦合,以简单的随机微分方程为例,将其应用于建立无穷维Harnack不等式、Bisnut导数公式和分布积分公式。
Landau-Lifshitz-Gilbert equation (LLG) describes magnetization of ferromagnets. In this paper, we consider the singularity formation of LLG from R^2 to S^2. For any prescribed N distinct points q^{j} ...
The classical Allard regularity says, a rectifiable varifold in the unit ball of the Euclidean space passing through the original point with volume density close to 1 and generalized mean curvature sm...
In Euclidean Uniform Facility Location, the input is a set of clients in R^d and the goal is to place facilities to serve them, so as to minimize the total cost of opening facilities plus connecting t...
近日,中国地质大学地空学院蔡建超教授团队在国际著名地学期刊Journal of Hydrology上发表了储层岩石复杂微观结构定量表征及渗透率建模领域的研究成果:“Fractal dimension, lacunarity and succolarity analyses on CT images of reservoir rocks for permeability prediction”。该文...
For all vectorial boolean functions up to dimension 4, we present canonical representatives for all extended affine (EA) and CCZ equivalence classes. We include the size of each class, as well as its ...
The digital dimension is simultaneously enhancing and disrupting the fabric of life in every society where modern, informatized technology is present.1 The slow-motion collapse of parts of the 20th ce...
Side-channel techniques have well progressed over the last few years, leading to the creation of a variety of statistical tools for extracting the secrets used in cryptographic algorithms. Such techni...
传统交互设计采用二维平面的设计原型、设计控件和逻辑关系,已经良好的运作了10年之久。随着软硬件技术进步,更高维度的动效设计开始展露其不容忽视的优势。一时间各种动态效果,绚丽方案层出不穷,纷繁复杂。我们也经历了如此的阶段,却发现我们只是将一种更高维度的技术拿到低维度来使用,而不是站在更高维度的视角去重构和优化整个系统。动效设计不单纯是视觉效果的进化,更应该是串行整个用户体验的承载,在系统中打造一种“...
The project is part of the wider application and subsequent spread of innovative digital technologies involving robotic systems. Modern society needs knowledge and investigation of the environment and...
Different applications or users need different abstraction of spatial models, dimensionalities and specification of their datasets due to variations of required analysis and output. Various approaches...
Geomarketing is a discipline which uses geographic information in the process of planning and implementation of marketing activities. It can be used in any aspect of the marketing such as price, promo...

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