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Now showing items 31-40 of 191

#### Frobenius transfers and p-local finite groups

(Massachusetts Institute of Technology, 2004)

In this thesis we explore the possibility of defining the p-local finite groups of Broto, Levi and Oliver in terms of their classifying spaces. More precisely, we consider the question posed by Haynes Miller, whether an ...

#### Viscous fluid sheets

(Massachusetts Institute of Technology, 2007)

We present a general theory for the dynamics of thin viscous sheets. Employing concepts from differential geometry and tensor calculus we derive the governing equations in terms of a coordinate system that moves with the ...

#### Stochastic and deterministic models for dense granular flow

(Massachusetts Institute of Technology, 2008)

Granular materials such as sand or gravel surround us everyday and yet remain poorly understood. In this thesis, two models are developed for dense granular flow, each capable of predicting flows with accuracy in multiple ...

#### Geometric and algebraic properties of polyomino tilings

(Massachusetts Institute of Technology, 2004)

In this thesis we study tilings of regions on the square grid by polyominoes. A polyomino is any connected shape formed from a union of grid cells, and a tiling of a region is a collection of polyominoes lying in the region ...

#### Parabolic equations without a minimum principle

(Massachusetts Institute of Technology, 2007)

In this thesis, we consider several parabolic equations for which the minimum principle fails. We first consider a two-point boundary value problem for a one dimensional diffusion equation. We show the uniqueness and ...

#### Expressions for the generating function of the Donaldson invariants for CP²

(Massachusetts Institute of Technology, 2007)

The Donaldson invariants for CP2 were obtained as the u-plane integral from a N = 2 supersymmetric topological U(1)-gauge theory by Moore and Witten. We derive the generating function for the Donaldson invariants of CP2 ...

#### 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 ...

#### On the capacity of the erasure channel and the construction of an [epsilon]-randomizing map

(Massachusetts Institute of Technology, 2008)

The quantum information theory is the counterpart of the classical information theory in quantum computation, and it has raised many questions regarding the transmission and security of the information in quantum computers. ...

#### On the slope filtration of [phi]-modules over the Robba ring

(Massachusetts Institute of Technology, 2008)

Given a p-adic representation of the Galois group of a local field, we show that its Galois cohomology can be computed using the associated étale ([phi], [Gamma])-module over the Robba ring; this is a variant of a result ...

#### Multiscale modeling in granular flow

(Massachusetts Institute of Technology, 2007)

Granular materials are common in everyday experience, but have long-resisted a complete theoretical description. Here, we consider the regime of slow, dense granular flow, for which there is no general model, representing ...