Discontinuity, Nonlinearity, and Complexity
Markov Chain Scaffolding of Real World Data
Discontinuity, Nonlinearity, and Complexity 2(3) (2013) 289299  DOI:10.5890/DNC.2013.08.005
D. Volchenkov
Center of Excellence Cognitive Interaction Technology (CITEC), Mathematical Physics Research Group, Bielefeld University, Universitaetsstr. 25, 33615 Bielefeld, Germany
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Abstract
Discrete time scale dependent random walks on a graph model of a relational database can be generated by a variety of equivalence relations imposed between walks (i.e.composite functions, inheritance, property relations, ancestordescendant relations, data queries, address allocation and assignment polices). The Green function of diffusion process induce by the random walks allows to define scale dependent geometry. Geometric relations on databases can guide the datainterpretation. In particular, first passage times in a urban spatial network help to evaluate the tax assessment value of land.
Acknowledgments
Financial support by the project MatheMACS (“Mathematics of Multilevel Anticipatory Complex Systems”), grant agreement no. 318723, funded by the EC Seventh Framework Programme FP7ICT20118 is gratefully acknowledged.
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