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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the dimension of limit sets on the real projective plane via stationary measures
实射影平面 极限集 维数 平稳测度
2023/11/29
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the dimension of limit sets on the real projective plane via stationary measures
实射 影平面 极限集 维数 平稳测度
2023/11/15
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hausdorff dimension, singular vectors and divergent trajectories
豪斯多夫维数 奇异向量 发散轨迹
2023/5/12
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Coupling by change of measures for dimension-free Harnack inequality
无维 哈纳克不等式 测度 耦合
2023/5/12
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。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
Landau–Lifshitz–Gilbert 二维 有限时间 奇点形成
2023/4/19
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} ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Critical Allard regularity in dimension two and its application
二维中临界 阿拉德规律性 欧几里得空间
2023/5/5
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...
中国地质大学科学技术发展院夏宇轩(博士研究生), 蔡建超*等, 地空学院 Journal of Hydrology, 2019, Fractal dimension, lacunarity and succolarity analyses on CT images of reservoir rocks for permeability prediction
储层岩石；复杂；微观结构；定量；表征；渗透率；建模领域
2021/10/20
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...
Extended Affine and CCZ Equivalence up to Dimension 4
boolean functions extended affine equivalence CCZ equivalence
2019/4/1
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 ...
A National Security Enterprise Response - Digital Dimension Disruption
Security Enterprise Response Digital Dimension Disruption The Informatized Era
2019/10/22
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...
2017国际华人交互大会工作坊十一：《交互新维度—动态交互链》（Workshop 11: The New Dimension of Interaction: Motion Interaction System）
2017 国际 华人 交互大会 工作坊 十一 交互新维度 动态交互链
2017/5/23
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 4DILAN PROJECT (4TH DIMENSION IN LANDSCAPE AND ARTIFACTS ANALYSES)
3D modelling UAV photogrammetry GPR (Ground Penetrating Radar) TLS (Terrestrial laser scanning) archive documents knowledge for conservation project
2017/6/20
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...
APPLICATION PERSPECTIVE OF 2D+SCALE DIMENSION
Scale dimension current scale application potential scale application data structure 3D vario-scale model
2016/10/14
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...
3D GEOMARKETING SEGMENTATION: A HIGHER SPATIAL DIMENSION PLANNING PERSPECTIVE
Geomarketing Market Segmentation Geo-Clustering 3D Spatial Database 3D GIS Information Retrieval
2016/10/14
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...