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Mathematics and Statistics

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Mathematics and Statistics

Recent Submissions

  • Optimal market thickness and market design 
    Muir, Ellen Victoria (2017)
    In this thesis we primarily focus on developing tractable dynamic market models, together with applications of these models. We also address several open questions concerning the statistical properties of static market ...
  • On hyperbolic monopoles 
    Chan, Joseph Yew Choe (2017)
    Magnetic monopoles are solutions to first order non-linear partial differential equations called the Bogolmonyi equations. Magnetic monopoles in three dimensional hyperbolic space can be treated as instantons invariant ...
  • Analysis of networks: privacy in Bayesian networks and problems in lattice models 
    Zhang, Zuhe (2017)
    This thesis deals with differential privacy in Bayesian inference, probabilistic graphical models and information-theoretic settings. It also studies the expansion property and enumeration problems of certain subgraphs of ...