Browsing Department of Mathematics by Title
Now showing items 259278 of 824

Facility location and the analysis of algorithms through factorrevealing programs
(Massachusetts Institute of Technology, 2004)In the metric uncapacitated facility location problem (UFLP), we are given a set of clients, a set of facilities, an opening cost for each facility, and a connection cost between each client and each facility satisfying ... 
Families of p̳adic Galois representations
(Massachusetts Institute of Technology, 2011)In this thesis, I first generalize Kisin's theory of finite slope subspaces to arbitrary padic fields, and then apply it to the generic fibers of Galois deformation spaces. I study the finite slope deformation rings in ... 
Fast and scalable solvers for the Helmholtz equation
(Massachusetts Institute of Technology, 2015)In this thesis we develop a new family of fast and scalable algorithms to solve the 2D highfrequency Helmholtz equation in heterogeneous medium. The algorithms rely on a layered domain decomposition and a coupling between ... 
Fast multipoletype methods in one and two dimensions, with application to parallel Fourier transforms
(Massachusetts Institute of Technology, 1998) 
Faster algorithms for convex and combinatorial optimization
(Massachusetts Institute of Technology, 2016)In this thesis, we revisit three algorithmic techniques: sparsification, cutting and collapsing. We use them to obtain the following results on convex and combinatorial optimization: Linear Programming: We obtain the ... 
A Fatou type theorem for harmonic functions on symmetric spaces
(American Mathematical Society, 1968) 
Faulttolerant sorting networks
(Massachusetts Institute of Technology, 1994) 
Fedosov's quantization of semisimple coadjoint orbits
(Massachusetts Institute of Technology, 1995) 
Fields of division points of elliptic curves related to CoatesWiles
(Massachusetts Institute of Technology, 1983) 
Fields of rationality of cuspidal automorphic representations
(Massachusetts Institute of Technology, 2016)This thesis examines questions related to the growth of fields of rationality of cuspidal automorphic representations in families. Specifically, if F is a family of cuspidal automorphic representations with fixed central ... 
Finance without price dynamics
(Massachusetts Institute of Technology, 2003)Traditional finance theory has addressed portfolio optimization and option pricing problems assuming specific price dynamics for securities. In this thesis we address these problems without assuming specific price dynamics. ... 
Finite amplitude resonant acoustic waves without shocks
(Massachusetts Institute of Technology, 1995) 
Finite dimensional representations of sympletic reflection algebras for wreath products
(Massachusetts Institute of Technology, 2008)Symplectic reflection algebras are attached to any finite group G of automorphisms of a symplectic vector space V , and are a multiparameter deformation of the smash product TV ?G, where TV is the tensor algebra. Their ... 
Finite element techniques for curved boundaries,
(Massachusetts Institute of Technology, 1973) 
Finiteparticle representations and states of the canonical commutation relations.
(Massachusetts Institute of Technology, 1966) 
Floer cohomology in the mirror of the projective plane and a binodal cubic curve
(Massachusetts Institute of Technology, 2011)We construct a family of Lagrangian submanifolds in the LandauGinzburg mirror to the projective plane equipped with a binodal cubic curve as anticanonical divisor. These objects correspond under mirror symmetry to the ... 
Flowinduced oscillation of flexible bodies
(Massachusetts Institute of Technology, 2010)We present a combined theoretical and experimental investigation of two systems in which flexible bodies are induced to oscillate by steady flows. The first system we study consists of multiple thin sheets of paper in a ... 
Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection
(Massachusetts Institute of Technology, 1992) 
Fourier transforms of Nilpotent Orbits, limit formulas for reductive lie groups, and wave front cycles of tempered representations
(Massachusetts Institute of Technology, 2011)In this thesis, the author gives an explicit formula for the Fourier transform of the canonical measure on a nilpotent coadjoint orbit for GL(n, R). If G is a real, reductive algebraic group, and O C g* = Lie(G)* is a ... 
A free boundary problem inspired by a conjecture of De Giorgi
(Massachusetts Institute of Technology, 2012)We study global monotone solutions of the free boundary problem that arises from minimizing the energy functional I(u) = f lVul2 + V(U), where V(u) is the characteristic function of the interval (1, 1). This functional ...