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Fundamental domain of invariant sets and applications
Fundamental domain partial hyperbolicity cocycle transitivity accessibility essential saturation
2012/4/18
Let $X$ be a compact metric space and $f:X\to X$ a homeomorphism on $X$. We construct a fundamental domain for the set with finite peaks for each cocycle induced by $\phi\in C(X,R)$. In particular we ...
Applications of Classical Scaling Symmetry
Classical Scaling Symmetry second-order differential equation conservation laws central field dynamics
2011/7/7
Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, but symmetr...
Applications of Differential Chains to Complex Analysis and Dynamics
Differential Chains Complex Analysis Dynamics
2011/2/28
First and foremost, I would like to thank my advisor Sarah Koch for being so generous with her time and energy.
On tensor products of weak mixing vector sequences and their applications to C*-dynamical systems
Uniform weak mixing weak mixing ergodicity
2010/11/29
We prove that, under certain conditions, uniform weak mixing (to zero)of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of ...