The notion of polytopal map between two polytopal complexes is defined. Surprisingly, this definition is quite simple and extends naturally those of simplicial and cubical maps. It...
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Current communications tools and libraries for high performance computing are designed for platforms and applications that exhibit relatively stable computational and communicatio...
In this study we rethought efficient market hypothesis from a viewpoint of complexity of market participants’ prediction methods and market price’s dynamics, and examined the ...
The flow complex is a geometric structure, similar to the Delaunay tessellation, to organize a set of (weighted) points in Rk. Flow shapes are topological spaces corresponding to ...
Kevin Buchin, Tamal K. Dey, Joachim Giesen, Matthi...