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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...
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...
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...
The passage from discrete schemes for surface line defects (steps) to nonlinear macroscopic laws for crystals is studied via formal asymptotics in one space dimension. Our goal is to illustrate by exp...
Estimates of the fractal dimension of hypocentral distributions require evaluating the range of independent variables in which fractal parameters exhibit a power law. Systematic and accidental errors ...
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
Essential dimension is a numerical invariant of an algebraic group G introduced by J. Buhler and the second author to study the complexity of G-torsors over a eld K. It has since been studied by se...
We prove that the essential dimension of the spinor group Spinn grows exponentially with n and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more...
In this paper we consider questions of the following type. Let k be a base eld and K=k be a eld extension. Given a geometric object X over a eld K (e.g. a smooth curve of genus g) what is the le...

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