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In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
In this talk we consider the maximum absolute value in the autocorrelation spectrum (not considering the zero point) of balanced Boolean function. The long-standing open question in this area is to ob...
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
We report a recent paper of Witt Nystrom, where he proved the differentiability of volume functions using deformation to the normal cone.
In this talk, we will study the residual Monge-Ampère mass of a plurisubharmonic function with isolated singularity at the origin in C2. We proved that the residual mass is zero if its Lelong number i...
In this talk, we present the pointwise convergence of one-point large deviations rate functions (LDRFs) of the spatial finite difference method and further the fully discrete method based on the tempo...
D-finite functions are solutions of homogeneous linear differential equations with rational function coefficients. This is an important class of special functions since it appears ubiquitously in alge...
Deep neural networks, as a powerful system to represent high dimensional complex functions, play a key role in deep learning. Convergence of deep neural networks is a fundamental issue in building the...
In this talk, we consider nontrivial solutions of a quasilinear elliptic system with the weight functions h(x) and f_i (x) (i = 1, 2) by applying the Nehari manifold method along with the fibrering ma...
Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillat...
Submodularity is a fundamental phenomenon in combinatorial optimization. Submodular functions occur in a variety of combinatorial settings such as coverage problems, cut problems, welfare maximization...
New research from Cornell scientists is exploring how human genetics impacts functions of the gut microbiome, and is expanding awareness of the role human genetics plays in shaping the microbiome.
生长素在植物的正常生长发育中起着至关重要的作用。TAA/YUCCA基因家族编码色氨酸氨基转移酶(tryptophan aminotransferase),是生长素合成的关键酶。然而,棉花中YUCCA(YUC)基因家族尚未见报道。为了揭示YUC基因在棉花中的功能,我们系统地鉴定了五个棉种中的YUC基因家族,包括成员分析、特征描述、基因组内复制和共线关系。转录组学分析表明,GhYUCs参与了棉花的非生...

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