Horoballs in simplices and Minkowski spaces
We obtain precise descriptions of all horoballs for Hilbert's geometry on simplices and for normed finite-dimensional vector spaces with norm given by some polyhedron. Certain geometrical consequences are deduced and several other applications are pointed out, which concern the dynamics of impo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/23656 |
| Summary: | We obtain precise descriptions of all horoballs for Hilbert's
geometry on simplices and for normed finite-dimensional
vector spaces with norm given by some polyhedron. Certain
geometrical consequences are deduced and several other
applications are pointed out, which concern the dynamics of
important classes of nonlinear self-maps of convex cones. |
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| ISSN: | 0161-1712 1687-0425 |