Abstract
Any symmetric affinity function w: V × V → ℝ+ defined on a discrete set V induces Euclidean space structure on V. In particular, an undirected graph specified by an affinity (or adjacency) matrix can be considered as a metric topological space. We have calculated the visual representations of the probabilistic locus for a chain, a polyhedron and a finite 2D lattice.
Original language | English |
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Pages (from-to) | 259-268 |
Number of pages | 10 |
Journal | Stochastics |
Volume | 81 |
Issue number | 3-4 |
DOIs | |
State | Published - 2009 |
Keywords
- Euclidean space
- Probabilistic analogue
- Random walk