Stochastic geometry with applications to river networks Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rn301435g

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  • Empirical observations have established connections between river network geometry and various hydrophysical quantities of interest. Since rivers can be decomposed into basic components known as links, one would like to understand the physical processes at work in link formation and maintenance. The author develops a natural stochastic geometric model for this problem, for the particular type of link known as exterior links. In the model, the distribution of distance from a uniformly distributed point to a fixed graph is computed. This model yields an approximate expression for the distribution of length of exterior links that incorporates junction angles and drainage density, and compares favorably with observed length distributions. The author goes on to investigate related mathematical questions of independent interest, such as the case where the previously mentioned graph is itself a realization of a random process, and in so doing derives a formula for the first contact distribution of a general random Voronoi tesselation (also associated with the names of Dirichlet and Thiessen). Since this random tesselation is a natural starting point for modelling spatial processes in a wide variety of fields, these results should find immediate applications. It is also shown how these results can be interpreted as a generalization of a classical problem considered by Buffon.
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  • File scanned at 300 ppi (Monochrome, 8-bit Grayscale) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-08-07T19:29:31Z (GMT) No. of bitstreams: 1 PeckhamScottDale1991.pdf: 1943830 bytes, checksum: 6896b2ef55c8ad32bb6b2435dd97b0e2 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-08-07T19:26:47Z (GMT) No. of bitstreams: 1 PeckhamScottDale1991.pdf: 1943830 bytes, checksum: 6896b2ef55c8ad32bb6b2435dd97b0e2 (MD5)
  • description.provenance : Made available in DSpace on 2012-08-07T19:29:31Z (GMT). No. of bitstreams: 1 PeckhamScottDale1991.pdf: 1943830 bytes, checksum: 6896b2ef55c8ad32bb6b2435dd97b0e2 (MD5) Previous issue date: 1990-02-14
  • description.provenance : Submitted by Kaylee Patterson (kdpscanner@gmail.com) on 2012-08-07T16:15:53Z No. of bitstreams: 1 PeckhamScottDale1991.pdf: 1943830 bytes, checksum: 6896b2ef55c8ad32bb6b2435dd97b0e2 (MD5)

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