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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...
LOCALIZATION AND RECOGNITION OF DYNAMIC HAND GESTURES BASED ON HIERARCHY OF MANIFOLD CLASSIFIERS
Dynamic Gesture Skeleton Representation
2015/5/21
Generally, the dynamic hand gestures are captured in continuous video sequences, and a gesture recognition system ought to extract
the robust features automatically. This task involves the highly ch...
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.
The helical phase of chiral nematic liquid crystals as the Bianchi VII(0) group manifold
The helical phase chiral nematic liquid crystals the Bianchi VII(0) group manifold
2011/9/13
We show that the optical structure of the helical phase of a chiral nematic is naturally associated with the Bianchi V II0 group manifold, of which we give a full account. The Joets-Ribotta metric gov...
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 ...
The helical phase of chiral nematic liquid crystals as the Bianchi VII(0) group manifold
chiral nematic liquid crystals the Bianchi VII(0) group manifold Soft Condensed Matter
2011/7/27
Abstract: We show that the optical structure of the helical phase of a chiral nematic is naturally associated with the Bianchi VII(0) group manifold. The Joets-Ribotta metric governing propagation of ...
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...
Transitions in active rotator systems: invariant hyperbolic manifold approach
active rotator systems Normally hyperbolic manifolds Pulsating waves Neuronal models
2011/7/25
Abstract: 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 stochas...