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Self-intersections in combinatorial topology: statistical structure
closed curves surfaces self-intersection central limit theorem Markov chain
2011/1/17
Oriented closed curves on an orientable surface with boundary are described up to continuous deformation by reduced cyclic words in the generators of the fundamental group and their inverses.
The new $\nu$-metric induces the classical gap topology
-metric robust control Banach algebras.
2011/1/17
Let A+ denote the set of Laplace transforms of complex Borel measures μ on [0,+1) such that μ does not have a singular non-atomic part. In [1], an extension of the classical -metric of Vinnicombe was...
The Cleavage Operad and String Topology of Higher Dimension
Cleavage Operad String Topology of Higher Dimension
2011/2/24
In [Vor05], Voronov gave life to the Cacti operad: An operad whose homology acts on the shifted homology of the free loop space over a compact, smooth orientable manifold M – HpMS1q– giving it the st...