## Search

Now showing items 1-10 of 22

#### Improving a bounding result for weakly-scattered theories

(Massachusetts Institute of Technology, 2006)

In this thesis, we effectively construct a predecessor function for the type definitions in the raw hierarchy for any weakly-scattered theory. Using this predecessor function, we improve a recent bounding result by Sacks ...

#### Simulation of axisymmetric stepped surfaces with a facet

(Massachusetts Institute of Technology, 2006)

A crystal lattice with a small miscut from the plane of symmetry has a surface which consists of a series of atomic height steps separated by terraces. If the surface of this crystal is not in equilibrium with the surrounding ...

#### Models of high rank for weakly scattered theories

(Massachusetts Institute of Technology, 2006)

The Scott rank of a countable structure A, denoted sr(A), was observed by Nadel to be at most wA + 1, where wA4 is the least ordinal not recursive in A. Let T be weakly scattered and L(a,T) be E2-admissible. We give a ...

#### Rocking and rolling down an incline : the dynamics of nested cylinders on a ramp

(Massachusetts Institute of Technology, 2006)

In this thesis, I report the results of a combined experimental and theoretical investigation of a journal bearing, specifically, a cylinder suspended in a viscous fluid housed within a cylindrical shell, rolling down an ...

#### Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions

(Massachusetts Institute of Technology, 2006)

We define a new family of open Gromov-Witten type invariants based on intersection theory on the moduli space of pseudoholomorphic curves of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian ...

#### Topological Hochschild homology of twisted group algebras

(Massachusetts Institute of Technology, 2006)

Let G be a group and A be a ring. There is a stable equivalence of orthogonal spectra ... between the topological Hochschild homology of the group algebra A[G] and the smash product of the topological Hochschild homology ...

#### The combinatorics of reduced decompositions

(Massachusetts Institute of Technology, 2006)

This thesis examines several aspects of reduced decompositions in finite Coxeter groups. Effort is primarily concentrated on the symmetric group, although some discussions are subsequently expanded to finite Coxeter groups ...

#### Asymptotic behavior of complete Ricci-flat metrics on open manifolds

(Massachusetts Institute of Technology, 2006)

In this thesis, we describe the asymptotic behavior of complete Ricci-flat Kihler metrics on open manifolds that can be compactified by adding a smooth, ample divisor. This result provides an answer to a question addressed ...

#### 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 ...

#### 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 ...