Browsing Mathematics - Ph.D. / Sc.D. by Title
Now showing items 279-298 of 746
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The heat kernel for manifolds with conic singularities
(Massachusetts Institute of Technology, 1996) -
A Hecke algebra quotient and properties of commutative elements of a Weyl group
(Massachusetts Institute of Technology, 1995) -
A heuristic program that solves symbolic integration problems in freshman calculus : symbolic automatic integrator (SAINT)
(Massachusetts Institute of Technology, 1961) -
Hidden Markov chains : convergence rates and the complexity of inference
(Massachusetts Institute of Technology, 1993) -
High-performance computing with PetaBricks and Julia
(Massachusetts Institute of Technology, 2011)We present two recent parallel programming languages, PetaBricks and Julia, and demonstrate how we can use these two languages to re-examine classic numerical algorithms in new approaches for high-performance computing. ... -
Higher canonical asymptotics of Kähler-Einstein metrics on quasi-projective manifolds
(Massachusetts Institute of Technology, 2005)In this thesis, we derive the asymptotic expansion of the Kiihler-Einstein metrics on certain quasi-projective varieties, which can be compactified by adding a divisor with simple normal crossings. The weighted Cheng-Yau ... -
Higher limits via subgroup complexes
(Massachusetts Institute of Technology, 2000) -
Hochschild homology / cohomology of preprojective algebras of ADET quivers
(Massachusetts Institute of Technology, 2008)Preprojective algebras [Pi]q of quivers Q were introduced by Gelfand and Ponomarev in 1979 in order to provide a model for quiver representations (in the special case of finite Dynkin quivers). They showed that in the ... -
Hodge cohomology of negatively curved manifolds
(Massachusetts Institute of Technology, 1986) -
Homological mirror symmetry for a Calabi-Yau hypersurface in projective space
(Massachusetts Institute of Technology, 2012)This thesis is concerned with Kontsevich's Homological Mirror Symmetry conjecture. In Chapter 1, which is based on [1], we consider the n-dimensional pair of pants, which is defined to be the complement of n + 2 generic ... -
Homotopy theory and topoi
(Massachusetts Institute of Technology, 1998) -
A homotopy theory for stacks
(Massachusetts Institute of Technology, 2001)We give a homotopy theoretic characterization of stacks on a site C which allows one to think of stacks as the homotopy sheaves of groupoids on C. We use this characterization to construct a model category, that is a formal ... -
The homotopy type of the matroid Grassmannian
(Massachusetts Institute of Technology, 2002)In this thesis, I establish a homotopy equivalence between the matroid Grassmannian [parallel] MacP(k, n) [parallel] and the real Grassmannian G(k, n) of k-planes in [Real set]n. This is accomplished by finding a Schubert ... -
Howe's rank and dual pair correspondence in semistable range
(Massachusetts Institute of Technology, 1998) -
Hydrodynamic analogues of quantum corrals and Friedel oscillations
(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 ... -
The hydrodynamics of water-walking insects and spiders
(Massachusetts Institute of Technology, 2006)We present a combined experimental and theoretical investigation of the numerous hydrodynamic propulsion mechanisms employed by water-walking arthropods (insects and spiders). In our experimental study, high speed ... -
Hyper-Kaehler fibrations and Hilbert schemes
(Massachusetts Institute of Technology, 2006)In this thesis, I consider hyper-Kähler manifolds of complex dimension 4 which are fibrations. It is known that the fibers are abelian varieties and the base is P2. We assume that the general fiber is isomorphic to a product ... -
Hyperbolic-pseudodifferential operators with double characteristics.
(Massachusetts Institute of Technology, 1976) -
I. A pressure Poisson method for the incompressible Navier-Stokes equations : II. Long time behavior of the Klein-Gordon equations
(Massachusetts Institute of Technology, 2011)In this thesis, we address two problems involving partial differential equations. In the first problem, we reformulate the incompressible Navier-Stokes equations into an equivalent pressure Poisson system. The new system ... -
Ideals in triangulated categories : phantoms, ghosts and skeleta
(Massachusetts Institute of Technology, 1997)
