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High-order interaction occurs in various complex network, such as social network, bionetwork and network medicine. Comparing with that there are a lot of well-developed math tools (from graph theory) ...
Consider a finite set of segments on a plane with endpoints in the general position. In [1] Sylvester posted a problem of finding the measure of the set of lines intersecting all of this segments. In ...
Sparsity is a naturally occurring characteristic in many real-world applications including signal denoising, outlier detection, and finance. On one hand, sparsity assumption allows people to tackle in...
In this talk, we give an example to illustrate how to use the hypergraph regularity lemmas. The absorbing method due to R?dl, Schacht and Szemerédi is a powerful tool in proving hypergraph Hamilton cy...
In this talk, we first introduce the definitions of equitable partitions and state the hypergraph regularity lemma due to R?dl and Schacht. Then, we give the conception of reduced hypergraphs and its ...
Hypergraph regularity lemmas are generalizations of Szemerédi's regularity lemma for graphs, which has been proved to be a powerful tool with many subsequent. In this talk, we first give a brief intro...
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...
We will talk about the Hirota direct method and its applications to soliton solutions in (1+1)-dimensions. Both known and new examples of soliton equations will be discussed, and generalized bilinear ...
The constant rank theorem was initially developed by Caffarelli-Friedman in 1985 in two-dimensions for convex solutions of semilinear equations. Later, Korevaar-Lewis extended the result to higher dim...
We will introduce the polynomial partitioning method which has wide applications in incidence geometry, geometric measure theory, and harmonic analysis. In the first course, we will present some basic...
We will introduce the polynomial partitioning method which has wide applications in incidence geometry, geometric measure theory, and harmonic analysis. In the first course, we will present some basic...
The International Conference on Harmonic Analysis and Its Applications (HAA) will take place from June 15 (arrival) to June 19 (departure) of 2018 at beautiful Yanqi Lake Campus of University of Chin...
These areas are strongly related to each other and have been very active in recent years. They occupy a central place in modern probability theory and analysis. The primary goal of the conference is t...
ICAA-2017 provides an ideal academic platform for researchers to present the latest research findings in mathematics and engineering. The conference aims to bring together leading academic scientists,...
Spline functions are polynomials that are cut into pieces with care. Although spline functions date back to work of Euler and Bernoulli, it was Iso Schoenberg who began to study them in earnest. In la...

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