Now showing items 1-3 of 743

    • Point processes of representation theoretic origin 

      Cuenca, Cesar(Cesar A.) (Massachusetts Institute of Technology, 2019)
      There are two parts to this thesis. In the first part we compute the correlation functions of the 4-parameter family of BC type Z-measures. The result is given explicitly in terms of Gauss's hypergeometric function. The ...
    • Hydrodynamic analogues of quantum corrals and Friedel oscillations 

      Cristea-Platon, Tudor. (Massachusetts Institute of Technology, 2019)
      We consider the walking droplet (or 'walker') system discovered in 2005 by Yves Couder and coworkers. We investigate experimentally and theoretically the behaviour of this hydrodynamic pilot-wave system in both closed and ...
    • Totally positive spaces : topology and applications 

      Galashin, Pavel(Pavel A.) (Massachusetts Institute of Technology, 2019)
      This thesis studies topological spaces arising in total positivity. Examples include the totally nonnegative Grassmannian Gr[subscripts >_0](k, n), Lusztig's totally nonnegative part (G/P)[subscripts >_0] of a partial flag ...