## Search

Now showing items 1-10 of 205

#### 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 ...

#### 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 ...

#### Detection of non-coding RNA with comparative genomics and the sequential closure of smooth graphs in Cartesian currents

(Massachusetts Institute of Technology, 2003)

In the field of genomics, this thesis presents algorithms for identifying non-coding RNA (ncRNA) genes. It describes a rapid and highly reliable comparative statistical method for identification of functionally significant ...

#### Algebraic and combinatorial properties of minimal border strip tableaux

(Massachusetts Institute of Technology, 2003)

Motivated by results and conjectures of Stanley concerning minimal border strip tableaux of partitions, we present three results. First we generalize the rank of a partition [lambda] to the rank of a shifted partition ...

#### Aspects of quantum theory in 1+1 and slightly more dimensions

(Massachusetts Institute of Technology, 2003)

We consider four problems in (1+1)-dimensional physics. Each of these problems had important connections to the physical behavior of (3+ 1 )-dimensional systems. First, we consider problem of fermions interacting with ...

#### Propositional proof systems : efficiency and automatizability

(Massachusetts Institute of Technology, 2003)

The thesis considers two fundamental questions in propositional proof complexity: lower bounds on the size of the shortest proof and automatizability of propositional proof systems. With respect to the first part, we develop ...