Browsing Office of the Vice President for Research and Innovation by Author "Young, Benjamin"

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  • Combinatorics of the Double-Dimer Model 
    Jenne, Helen (University of Oregon, 2020-09-24)
    We prove that the partition function for tripartite double-dimer configurations of a planar bipartite graph satisfies a recurrence related to the Desnanot-Jacobi identity from linear algebra. A similar identity for the ...
  • Fixed-Point-Free Involution Word Diagrams 
    Potter, Jake (University of Oregon, 2022-10-04)
    We define a useful diagram for studying fixed-point-free involution words. Following the example of Little, we define a specific and a general bumping algorithm on these diagrams. These algorithms serve as the basis for ...
  • The Combinatorial PT-DT Correspondence 
    Webb, Gautam (University of Oregon, 2021-11-23)
    We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau topological vertices in Donaldson-Thomas ...

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