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We introduce an (r, /?)-net (0 < 2r < R) of a metric space M as a maximal graph whose vertices are elements in M of pairwise distance at least r such that any two vertices of distance at most R areâ€¦ (More)

We show that Brownian motion on any unbounded submanifold P in an ambient manifold N with a pole p is transient if the following conditions are satisfied: The p-radial mean curvatures of P areâ€¦ (More)

- Steen Markvorsen
- 2009

In its most general form, the recognition problem in riemannian geometry asks for the identification of an unknown riemannian manifold via measurements of metric invariants on the manifold. Optimallyâ€¦ (More)

- J Bohr, Steen Markvorsen
- PloS one
- 2013

A repetitive crystal-like pattern is spontaneously formed upon the twisting of straight ribbons. The pattern is akin to a tessellation with isosceles triangles, and it can easily be demonstrated withâ€¦ (More)

- Steen Markvorsen
- 2010

In [3], Cheng, Li and Yau proved comparison theorems (upper bounds) for the heat kernels on minimal submanifolds of space forms. In the present note we show that these comparison theorems togetherâ€¦ (More)

- Steen Markvorsen, Karsten Schmidt
- CSEDU
- 2012

We consider the technology enhanced learning of first year engineering mathematics and in particular the application of E-learning objects and principles in the course Mathematics 1 which has aâ€¦ (More)

We prove explicit upper and lower bounds for the torsional rigidity of extrinsic domains of submanifolds P with controlled radial mean curvature in ambient Riemannian manifolds N with a pole p andâ€¦ (More)

- Claus Philipsen, Steen Markvorsen, Wolfhard Kliem
- SIAM Review
- 1996

It is an interesting problem to quantify the stem curve of a Mexican Fan palm in a strong, steady wind. Donald F. Winter took up this challenge in [1 ]. Unfortunately, there are several erroneousâ€¦ (More)

- Marek Krzysztof Misztal, Jakob Andreas BÃ¦rentzen, FranÃ§ois Anton, Steen Markvorsen
- 2011 Eighth International Symposium on Voronoiâ€¦
- 2011

In this paper we present a method for appproximating cut loci for a given point p on Riemannian 2D manifolds, closely related to the notion of Voronoi diagrams. Our method finds the cut locus byâ€¦ (More)

- Michael May, Peter Munkebo Hussmann, +5 authors SÃ¸ren Enemark
- CSEDU
- 2010

It is the aim of this paper to discuss some didactic constraints on the use and reuse of digital modular learning objects. Engineering education is used as the specific context of use with examplesâ€¦ (More)