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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear Programming on the Stiefel Manifold
Stiefel流形 线性规划 线性函数
2023/12/11
我们研究Stiefel流形上线性规划(LPS)：其目标是线性函数，变量是p个n维空间正交向量（即Stiefel流形约束,p<=n），额外再满足k个线性约束。据我们所知，该模型首次被研究。k=0的(LPS)是一个经典的多项式可解问题。
The Ptolemy coordinates for boundary-unipotent SL(n; C)-representations of a
3-manifold group were introduced in [7] inspired by the A-coordinates on higher Teichmuller
space due to Fock and Goncha...
EVERY COMPACT MANIFOLD CARRIES A COMPLETELY HYPERBOLIC DIFFEOMORPHISM
MANIFOLD CARRIES HYPERBOLIC DIFFEOMORPHISM
2015/9/29
We show that a smooth compact Riemannian manifold of dimension 2 admits
a Bernoulli di eomorphism with nonzero Lyapunov exponents.
Multiscale Representations for Manifold-Valued Data
Symmetric Space Lie Group Two-Scale Refi nement Scheme
2015/8/21
We describe multiscale representations for data observed on equispaced grids and taking
values in manifolds such as: the sphere S2, the special orthogonal group SO(3), the positive
definite ma...
A Simple Manifold-Based Construction of Surfaces of Arbitrary Smoothness
Geometric modeling manifolds
2015/7/14
We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are h...
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system
Shilnikov Lemma normally hyperbolic critical manifold Hamiltonian system
2015/3/18
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system.
A Critical Exponent of Fujita Type for a Nonlinear Reaction-Di usion System on Riemannian Manifold
critical exponent reaction-di usion system Riemannian manifold.
2018/4/19
In this paper, we study the global existence and nonexistence of positive solutions to the
following nonlinear reaction-di usion system
8>>>>>>>>>>>><
>>>>>>>>>>>>:
ut u = W(x)vp + S(x...
We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.
Context-free manifold calculus and the Fulton-MacPherson Operad
Embedding calculus Fulton-MacPherson operad Algebraic Topology
2012/4/18
The paper gives an explicit description of the Weiss embedding tower in terms of spaces of maps of truncated modules over the framed Fulton-MacPherson operad.
Supremum of Perelman's entropy and Kahler-Ricci flow on a Fano manifold
Kahler-Ricci flow Kahler-Ricci solitons Perelman entropy
2011/9/15
Abstract: In this paper, we extend the method in [TZhu5] to study the energy level $L(\cdot)$ of Perelman's entropy $\lambda(\cdot)$ for K\"ahler-Ricci flow on a Fano manifold. Consequently, we first ...
Transitions in active rotator systems: invariant hyperbolic manifold approach
Active rotator model Coupled excitable systems Interacting diffusions FokkerPlanck PDE Normally hyperbolic manifolds Pulsating waves
2011/7/7
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynami...
A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups
Bi-orderable group twisted Alexander polynomial
2011/1/17
We observe that Clay-Rolfsen’s obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened by using the twisted Alexander polynomials for finite representations ...
A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
Asymptotically hyperbolic manifold Constraint equations Conformal method
2011/3/2
We construct solutions of the constraint equation with non constant mean curvature on an
asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...
Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold
Counting Essential Surfaces Closed Hyperbolic 3-Manifold
2011/1/21
Let M3 be a closed hyperbolic three manifold. We show that the number of genus g surface subgroups of 1(M3) grows like g 2g.
On the manifold structure of the set of unparameterized embeddings with low regularity
manifold structure unparameterized embeddings
2010/11/24
Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\mathcal C^\infty$, quotiented by the group o...