Browsing Department of Mathematics by Title
Now showing items 794813 of 829

Transport methods and universality for [beta]ensembles
(Massachusetts Institute of Technology, 2018)In this thesis, we investigate the local and global properties of the eigenvalues of [beta]ensembles. A lot of attention has been drawn recently on the universal properties of [beta]ensembles, and how their local statistics ... 
Transportlimited 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 ... 
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 ... 
Twisted ManolescuFloer spectra for SeibergWitten monopoles
(Massachusetts Institute of Technology, 2013)In this thesis, we extend Manolescus and KronheimerManolescus construction of Floer homotopy type to general 3manifolds. This Floer homotopy type is a candidate for an object whose suitable homology groups recover Floer ... 
Twisted stable homotopy theory
(Massachusetts Institute of Technology, 2005)There are two natural interpretations of a twist of stable homotopy theory. The first interpretation of a twist is as a nontrivial bundle whose fibre is the stable homotopy category. This kind of radical global twist forms ... 
Two enumeration problems about the Aztec diamonds
(Massachusetts Institute of Technology, 1991) 
Two formulas for the BR multiplicity
(SpringerVerlag, 201607)We prove a projection formula, expressing a relative Buchsbaum–Rim multiplicity in terms of corresponding ones over a modulefinite algebra of pure degree, generalizing an old formula for the ordinary (Samuel) multiplicity. ... 
Two interactions between combinatorics and representation theory : monomial immanants and Hochschild cohomology
(Massachusetts Institute of Technology, 1997) 
Unbalanced allocations
(Massachusetts Institute of Technology, 2010)Recently, there has been much research on processes that are mostly random, but also have a small amount of deterministic choice; e.g., Achlioptas processes on graphs. This thesis builds on the balanced allocation algorithm ... 
Unimodal, logconcave and Pólya frequency sequences in combinatorics
(Massachusetts Institute of Technology, 1988) 
Unique continuation theorems for the Dirac operator and the Laplace operator
(Massachusetts Institute of Technology, 1989) 
Unitarizing highenergy scattering amplitudes in YangMills theory
(Massachusetts Institute of Technology, 1978) 
Unitary representations of rational Cherednik algebras and Hecke algebras
(Massachusetts Institute of Technology, 2010)We begin the study of unitary representations in the lowest weight category of rational Cherednik algebras of complex reflection groups. We provide the complete classification of unitary representations for the symmetric ... 
Unitary representations of U (p,q) and generalized RobinsonSchensted algorithms
(Massachusetts Institute of Technology, 1998) 
Universal polynomials in lambda rings and the Ktheory of the infinite loop space tmf
(Massachusetts Institute of Technology, 2006)The algebraic structure of the Ktheory of a topological space is described by the more general notion of a lambda ring. We show how computations in a lambda ring are facilitated by the use of Adams operations, which are ... 
Unramified elliptic units
(Massachusetts Institute of Technology, 1993) 
The unramified principal series of padic groups : the Bessel function
(Massachusetts Institute of Technology, 2014)Let G be a connected reductive group with a split maximal torus defined over a nonarchimedean local field. I evaluate a matrix coefficient of the unramified principal series of G known as the "Bessel function" at torus ... 
Unstable chromatic homotopy theory
(Massachusetts Institute of Technology, 2015)In this thesis, I study unstable homotopy theory with chromatic methods. Using the v, self maps provided by the HopkinsSmith periodicity theorem, we can decompose the unstable homotopy groups of a space into its periodic ... 
Unstable operations in the BousfieldKan spectral sequence for simplicial commutative FF₂algebras
(Massachusetts Institute of Technology, 2015)In this thesis we study the BousfieldKan spectral sequence (BKSS) in the Quillen model category sCom of simplicial commutative FF₂ algebras. We develop a theory of unstable operations for this BKSS and relate these ... 
Uses of randomness in algorithms and protocols
(Massachusetts Institute of Technology, 1989)