Browsing Rice University Graduate Electronic Theses and Dissertations by Subject "Geometric Measure Theory"

Now showing items 1-2 of 2

    • A Mass Minimizing Flow for Real-Valued Flat Chains with Applications to Transport Networks 

      Downes, Carol Ann (2017-04-21)
      An oriented transportation network can be modeled by a 1-dimensional chain whose boundary is the difference between the demand and supply distributions, represented by weighted sums of point masses. To accommodate efficiencies ...

    • Two Variants on the Plateau Problem 

      Funk, Quentin A (2016-03-11)
      The Plateau problem in $\mbb{R}^3$ begins with a given simple, closed curve $\gamma$, and asks to find a surface $M$ with $\partial M= \gamma$ that minimizes area among all surfaces with $\gamma$ as their boundary. In ...