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math.AT2013
Reconstructing Functions from Random Samples
Steve Ferry, Konstantin Mischaikow, Vidit Nanda
From a sufficiently large point sample lying on a compact Riemannian submanifold of Euclidean space, one can construct a simplicial complex which is homotopy-equivalent to that man…
math.DS2013
Lattice Structures for Attractors I
William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst
We describe the basic lattice structures of attractors and repellers in dynamical systems. The structure of distributive lattices allows for an algebraic treatment of gradient-like…