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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable commutator length and linear programming
换向器长度 线性规划 曲面 拓扑优化
2023/4/18
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
Linear topologies on $\Z$ are not Mackey topologies
Mackey-topology linear topology locally quasi-convex group p-adic topology compatible group topology
2011/9/6
Abstract: In this article it is shown that to every non-discrete Hausdorff linear topology on $\Z$ other metrizable locally quasi-convex group topologies can be associated which are strictly finer tha...
Galois and universal universal coverings of linear categories and fibre products
fibre product section Galois covering universal covering
2011/2/21
Let k be a commutative ring. We study the behaviour of coverings of k-categories through fibre products and find a criterion for a covering to be Galois or universal.
Topological term in the non-linear $\sigma$ model of the SO(5) spin chains
Non-linear sigma model topological terms spin chains
2010/12/16
We show that there is a topological (Berry phase) term in the non-linear model description of the SO(5) spin chain. It distinguishes the linear and projective repre-sentations of the SO(5) symmetry ...
A local stochastic Lipschitz condition with application to Lasso for high dimensional generalized linear models
Lasso sparsity measure concentration generalized linear models
2010/11/30
For regularized estimation, the upper tail behavior of the random Lipschitz coefficient asso-
ciated with empirical loss functions is known to play an important role in the error bound of
Lasso for ...
We discuss some stability problems when each agent of a linear flock on the line interacts with its two nearest neighbors (one on either side).
On Linear the Homeomorphism Between Function Spaces Cp(X) and Cp,A(X) \times Cp (A)
Function Spaces linear homeomorphism pointwise topology
2010/2/26
In this paper, we investigate a linear homeomorphism between function spaces Cp(X) and Cp,A(X) \times Cp(A) , where X is a normal space and A is a neighborhood retraction of X.
Non-linear connections on phase space and the Lorentz force law
Non-linear connections phase space the Lorentz force law
2010/11/2
The equations of parallel transport for a non-linear connection on phase space are examined. It is shown that, for a free-particle Lagrangian, the connection term first-order in momentum reproduces th...
An Application of Linear Topological Invariants
Linear Topological Invariants infinite type
2010/3/5
We consider a possible isomorphism of cartesian product of two Dragilev spaces of infinite type, and by making use of Zahariuta invariants and some structural properties, we show that if there is such...