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Now showing items 11-20 of 677
Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection
(Massachusetts Institute of Technology, 1992)
On unitary representations with regular infinitesimal character
(Massachusetts Institute of Technology, 1986)
Restriction to hypersurfaces of non-isotropic Sobolev spaces
(Massachusetts Institute of Technology, 1993)
Coxeter systems, multiplicity free representations, and twisted Kazhdan-Lusztig Theory
(Massachusetts Institute of Technology, 2013)
This thesis considers three topics related to the representations of Coxeter systems, their Hecke algebras, and related groups. The first topic concerns the construction of generalized involution models, as defined by Bump ...
Bouncing and walking droplets : towards a hydrodynamic pilot-wave theory
(Massachusetts Institute of Technology, 2013)
Coalescence of a liquid drop with a liquid bath can be prevented by vibration of the bath. In a certain parameter regime, a purely vertical bouncing motion may ensue. In another, this bouncing state is destabilized by the ...
On the spectrum of the metaplectic group with applications to Dedekind sums
(Massachusetts Institute of Technology, 1982)
The lebesgue density theorem in abstract measure spaces
(Massachusetts Institute of Technology, 1947)
Some results on principal series for GL(n,R).
(Massachusetts Institute of Technology, 1977)
Linear Algebra, Random Matrices and Lie Theory
(Massachusetts Institute of Technology, 2022-02)
This thesis bridges the gap between pure and applied mathematics. The first part of this thesis focuses on the theory and computation of various Lie groups. The classical Lie groups as well as the automorphism groups of ...
Homotopically nontrivial area contracting maps
(Massachusetts Institute of Technology, 2023-06)
In this thesis, we investigate the existence of area contracting maps in a given ho-motopy class. In particular, we give various generalizations of Guth’s h-principle for k-dilation of maps between spheres to other manifolds. ...