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Now showing items 1-10 of 19

#### 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 ...

#### 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 ...

#### Spectral properties of Kähler quotients

(Massachusetts Institute of Technology, 2008)

The asymptotic behavior for the spectral measure of a Kähler manifold has been studied by many authors in the context of Kähler quantization. It is well known that the spectral measure has an asymptotic expansion, while ...

#### Single-petaled K-types and Weyl group representations for classical groups

(Massachusetts Institute of Technology, 2008)

In this thesis, we show that single-petaled K-types and quasi-single-petaled K-types for reductive Lie groups generalize petite K-types for split groups. First, we prove that a Weyl group algebra element represents the ...

#### A sphere settling in a stratified fluid at small Reynolds number

(Massachusetts Institute of Technology, 2008)

We present a combined theoretical, experimental and numerical investigation of a sphere settling in a linearly stratified fluid at low Reynolds number (0.01 </= Re </= 2.1). We developed the microscale Synthetic Schlieren ...

#### Kac's random walk and coupon collector's process on posets

(Massachusetts Institute of Technology, 2008)

In the first part of this work, we study a long standing open problem on the mixing time of Kac's random walk on SO(n, R) by random rotations. We obtain an upper bound mix = O (n2.5 log n) for the weak convergence which ...

#### 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 multi-parameter deformation of the smash product TV ?G, where TV is the tensor algebra. Their ...

#### A semi-infinite cycle construction of Floer homology

(Massachusetts Institute of Technology, 2008)

This dissertation is concerned with the foundations of a new approach to Floer theory. As opposed to the traditional approach, which can be viewed as a generalization of Morse theory to an infinite dimensional setting, our ...

#### Geometric quantization and dynamical constructions on the space of Kähler metrics

(Massachusetts Institute of Technology, 2008)

This Thesis is concerned with the study of the geometry and structure of the space of Kihler metrics representing a fixed cohomology class on a compact Kähler manifold. The first part of the Thesis is concerned with a ...