搜索结果: 1-7 共查到“知识库 数理逻辑与数学基础 Invariant”相关记录7条 . 查询时间(0.176 秒)
Martin-Lof randomness, invariant measures and countable homogeneous structurs
Martin-Lof randomness topological dynamics amenable groups Fraisse limits Ramsey theory
2012/5/24
We use ideas from topological dynamics (amenability), combinatorics (structural Ramsey theory) and model theory (Fra\" {i}ss\' e limits) to study closed amenable subgroups $G$ of the symmetric group $...
Equivariant multiplicities of Coxeter arrangements and invariant bases
Equivariant multiplicities Coxeter arrangements invariant bases
2010/11/8
Let $\A$ be an irreducible Coxeter arrangement and $W$ be its Coxeter group. Then $W$ naturally acts on $\A$. A multiplicity $\bfm : \A\rightarrow \Z$ is said to be equivariant when $\bfm$ is constant...
A System of Third-Order Differential Operators Conformally Invariant under $\mathfrak{so}(8,\mathbb{C})$
Conformally Invariant math
2010/11/9
In earlier work, Barchini, Kable, and Zierau constructed a number of conformally invariant systems of differential operators associated to Heisenberg parabolic subalgebras in simple Lie algebras. The...
Invariant Monotone Coupling Need Not Exist
Invariant Monotone Coupling Need Not Exist math
2010/11/15
We show by example that there is a Cayley graph and two invariant random subgraphs $X$ and $Y$ of it such that there exists a monotone coupling between them in the sense that $X \subset Y$ but no suc...
Intersection of stable and unstable manifolds for invariant Morse functions
unstable manifolds invariant Morse functions
2010/11/19
We study the structure of the smooth manifold which is defined as the intersection of a stable manifold and an unstable manifold for an invariant Morse-Smale function.
On the finite-dimensional marginals of shift-invariant measures
On the finite-dimensional marginals shift-invariant measures
2010/11/17
Let $\Sigma$ be a finite alphabet, $\Omega=\Sigma^{\mathbb{Z}^{d}}$ equipped with the shift action, and $\mathcal{I}$ the simplex of shift-invariant measures on $\Omega$. We study the relation betwee...
Infinitely many shape invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
invariant potentials Jacobi polynomials cubic identities
2010/4/8
We provide analytic proofs for the shape invariance of the recently discovered (Odake and Sasaki, Phys. Lett. B679 (2009) 414-417) two families of infinitely many exactly solvable one-dimensional quan...