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In this paper we study the algebraic ranks of foliations on Q-factorial normal projective varieties. We start by establishing a Kobayashi-Ochiai's theorem for Fano foliations in terms of algebraic ran...
This article presents graph theoretic conditions for the controllability and accessibility of bilinear systems over the special orthogonal group, the special linear group and the general linear group,...
高效的导航行为需要实时加工当前位置与目的地之间的距离,以便选择最优路线到达目的地。想象一下地铁换乘情景:您不仅需要跟踪线路信息(比如到目的地之前需要换乘几次),而且需要知道一些具体的细节(比如换乘前需要经过多少站)。导航过程需要对当前位置与目的地之间的距离进行多尺度(粗粒度-细粒度)表征,然而其背后的神经机制尚不清楚。 大量研究表明神经振荡与学习记忆之间存在密切关联。中国科学院心理健康重点实验室...
高增辉,男,教授,生于1979年,中共党员,研究生学历,理学博士学位。2013年7月至2015年8月在南京大学数学系做博士后。四川省第十二批学术和技术带头人后备人选。
The Morse boundary of a proper geodesic metric space is a generalization of the Gromov boundary of a hyperbolic space. It is a quasi-isometry invariant to study "hyperbolic directions" in the space. T...
因子设计可分为正规设计和非正规设计,其中正规设计结构简单,试验次数被限制在2的幂次上。非正规设计结构复杂,但具有较为灵活的试验次数,并可用于估计更多的因子效应。作为一类特殊的非正规设计,平行平面设计受到了越来越多的关注。正规设计也被称为单平面设计,由来自同一家族的几个单平面行并置得到的设计被称为平行平面设计。由三个平行平面构成的平行平面设计是最常用的非正规设计。将其推广到具有f个平面的平行平面设计...
In this talk, I will give some of the context and a sketch of the proof of the following result which I proved a while ago: It is consistent (relative to a Mahlo catrdinal) that there is a projective ...
We report the work “Duality between the pseudoeffective and the movable cone of a projective manifold” of Witt Nystrom, where he proved the transcendental Morse inequality for projective manifolds.
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 this series of work, we aim at improving the bootstrapping paradigm for fully homomorphic encryption (FHE). Our main goal is to show that the amortized cost of bootstrapping within a polynomial mod...
近日,以理学院数学系刘兴桂老师为第一作者、学校为第一标注单位的最新研究成果“Fixed-Time Control for a Class of Nonlinear PH-DAE Systems”在国际顶级学术期刊《IEEE Transactions on Systems, Man, and Cybernetics: Systems》上发表。这是刘兴桂老师继2019年在学术期刊《IEEE Trans...
Sample paths of a random walk on a hyperbolic group are known to converge to the Gromov boundary. The distribution of the exit point is called the harmonic measure. I will discuss the following invers...
We'll start with reviewing Quillen and Lurie's theory of non-abelian derived categories (also known as the "animation" theory). Following that, we will apply this theory to generalize the classical Sc...
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. ...

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