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Now showing items 21-30 of 191

#### Double affine Hecke algebras and noncommutative geometry

(Massachusetts Institute of Technology, 2005)

In the first part we study Double Affine Hecke algebra of type An-1 which is important tool in the theory of orthogonal polynomials. We prove that the spherical subalgebra eH(t, 1)e of the Double Affine Hecke algebra H(t, ...

#### Transport-limited aggregation and dense granular flow

(Massachusetts Institute of Technology, 2005)

In this thesis, transport of interacting particles is studied in two different physical systems. In the first part, a model for interfacial growth driven by general transport processes is proposed to generalize Laplacian ...

#### The Severi problem for rational curves on del Pezzo surfaces

(Massachusetts Institute of Technology, 2005)

Let X be a smooth projective surface and choose a curve C on X. Let VC be the set of all irreducible divisors on X linearly equivalent to C whose normalization is a rational curve. The Severi problem for rational curves ...

#### The p-adic local langlands conjecture

(Massachusetts Institute of Technology, 2005)

Let k be a p-adic field. Split reductive groups over k can be described up to k- isomorphism by a based root datum alone, but other groups, called rational forms of the split group, involve an action of the Galois group ...

#### Traveling salesman path problems

(Massachusetts Institute of Technology, 2005)

In the Traveling Salesman Path Problem, we are given a set of cities, traveling costs between city pairs and fixed source and destination cities. The objective is to find a minimum cost path from the source to destination ...

#### 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 ...

#### Relative Hilbert scheme methods in pseudoholomorphic geometry

(Massachusetts Institute of Technology, 2004)

This thesis takes up a program initiated by S. Donaldson and I. Smith aimed at using symplectic Lefschetz fibration techniques to obtain information about pseudoholomorphic curves in symplectic 4-manifolds. Donaldson and ...

#### The bidimensionality theory and its algorithmic applications

(Massachusetts Institute of Technology, 2005)

Our newly developing theory of bidimensional graph problems provides general techniques for designing efficient fixed-parameter algorithms and approximation algorithms for NP- hard graph problems in broad classes of graphs. ...

#### The stochastic operator approach to random matrix theory

(Massachusetts Institute of Technology, 2005)

Classical random matrix models are formed from dense matrices with Gaussian entries. Their eigenvalues have features that have been observed in combinatorics, statistical mechanics, quantum mechanics, and even the zeros ...