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Abstract: Motivated by positivity-, monotonicity-, and convexity preserving differential equations, we introduce a definition of shape preserving operator semigroups and analyze their fundamental prop...
Quasi-shape theory of locally finite and paracompact spaces
Shape quasi-shape locally finite spaces weak homotopy type
2011/2/28
Shape theory works nice for (Hausdorff) paracompact spaces, but for spaces with no separation axioms, it seems to be quite poor. However, for finite and locally finite spaces their weak homotopy type ...
Properties of the limit shape for some last passage growth models in random environments
corner growth model random environment limit shape last passage percolation
2010/12/13
We study directed last passage percolation on the first quadrant of the planar square lattice whose weights have general distributions, or equivalently, · /G/1 queues in series.The service time distri...
This paper extends parts of the results from [14] for plane curves to the case of surfaces in Rn. Let M be a compact connected oriented manifold of dimension less than n without boundary. Then shape s...