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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability of degree-2 Rossby-Haurwitz waves
2度 罗斯比-豪维茨波 稳定性
2023/5/12
Rossby-Haurwitz waves are an important class of explicit solutions to the incompressible Euler equation on a rotating 2-sphere. We will introduce our recent work on the nonlinear stability of degree-2...
Last year's El Nino waves battered California shore to unprecedented degree
Last year El Nino waves California shore unprecedented degree
2017/2/16
Last winter’s El Niño may have felt weak to residents of Southern California, but it was one of the most powerful weather events of the last 145 years, scientists say.If severe El Niño event...
Last year's El Nino waves battered California shore to unprecedented degree
Last year El Nino waves battered California shore
2017/3/13
Last winter’s El Nino may have felt weak to residents of Southern California, but it was one of the most powerful weather events of the last 145 years, scientists say.If severe El Nino events become m...
Controlling genes using CRISPR shows high degree of specificity
Controlling genes CRISPR high degree of specificity
2015/11/12
Researchers have demonstrated the exceptional specificity of a new way to switch sequences of the human genome on or off without editing the underlying genetic code.Originally discovered as an antivir...
Computing the minimum stability degree of parameter-dependent linear systems
Parameters related to linear system program control system the branch and bound algorithm is calculated
2015/8/12
For linear systems with unspecified parameters that lie between given upper and lower bounds, we present a branch and bound algorithm that computes the minimum stability degree.
Branch-and-bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
Branch and bound algorithm linear systems a robust nonlinear and linear system stability the parameters of linear system
2015/8/12
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
RANDOM GRAPHS WITH A GIVEN DEGREE SEQUENCE。
Degree bounds for polynomial verification of the matrix cube
matrix cube polynomial verification
2015/6/19
In this paper we consider the problem of how to computationally test whether a matrix inequality is positive semidefinite on a semialgebraic set. We propose a family of sufficient conditions using the...
AzTEC half square degree survey of the SHADES fields - I. Maps, catalogues and source counts
hydrodynamical models galaxy formation
2014/12/20
We present the first results from the largest deep extragalactic mm-wavelength survey undertaken to date. These results are derived from maps covering over 0.7 deg2, made at λ= 1.1 mm, using the AzTEC...
The three-state toric homogeneous Markov chain model has Markov degree two
three-state toric Markov chain model Markov degree two Statistics Theory
2012/7/9
We prove that the three-state toric homogenous Markov chain model has Markov degree two. In algebraic terminology, that a certain class of toric ideals are generated by quadratic binomials. This was c...
Combined degree and connectivity conditions for H-linked graphs
Combined degree connectivity conditions H-linked graphs Combinatorics
2012/6/27
For a given multigraph H, a graph G is H-linked, if |G| \geq |H| and for every injective map {\tau}: V (H) \rightarrow V (G), we can find internally disjoint paths in G, such that every edge from uv i...
This note deals with the relationship between the total number of $k$-walks in a graph, and the sum of the $k$-th powers of its vertex degrees. In particular, it is shown that the the number of all $k...
Counting independent sets of a fixed size in graphs with a given minimum degree
graphs given minimum degree independent sets Combinatorics
2012/4/16
Galvin showed that for all fixed $\delta$ and sufficiently large $n$, the $n$-vertex graph with minimum degree $\delta$ that admits the most independent sets is the complete bipartite graph $K_{\delta...
Identifying edge clusters in networks via edge graphlet degree vectors (edge-GDVs) and edge-GDV-similarities
Identifying edge clusters networks edge graphlet degree vectors (edge-GDVs) edge-GDV-similarities
2012/4/28
Inference of new biological knowledge, e.g., prediction of protein function, from protein-protein interaction (PPI) networks has received attention in the post-genomic era. A popular strategy has been...
Stability of tautological bundles on the degree two Hilbert scheme of surfaces
moduli spaces irreducible holomorphic symplectic manifolds K3 surfaces
2012/3/1
Let (X,H) be a polarized smooth projective surface satisfying H^1(X,O_X)=0 and let F be either a rank one torsion-free sheaf or a rank two {\mu}H-stable vector bundle on X. Assume that c_1(F)/=0. In t...