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Now showing items 161-170 of 175

#### Unstable operations in the Bousfield-Kan spectral sequence for simplicial commutative FF₂-algebras

(Massachusetts Institute of Technology, 2015)

In this thesis we study the Bousfield-Kan 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 ...

#### Integral geometry, Hamiltonian dynamics, and Markov Chain Monte Carlo

(Massachusetts Institute of Technology, 2016)

This thesis presents applications of differential geometry and graph theory to the design and analysis of Markov chain Monte Carlo (MCMC) algorithms. MCMC algorithms are used to generate samples from an arbitrary probability ...

#### The Morse index of mean curvature flow self-shrinkers

(Massachusetts Institute of Technology, 2016)

In this thesis, we will introduce a notion of index of shrinkers of the mean curvature flow. We will then prove a gap theorem for the index of rotationally symmetric immersed shrinkers in R3, namely, that such shrinkers ...

#### Parabolic Springer resolution

(Massachusetts Institute of Technology, 2016)

Let G be a reductive group over a field k = k. Let P be a parabolic subgroup. We construct a functor Groupoid ... is a connected space, which induces an action of generalizing a classical result. It is also a part of a ...

#### Fields of rationality of cuspidal automorphic representations

(Massachusetts Institute of Technology, 2016)

This thesis examines questions related to the growth of fields of rationality of cuspidal automorphic representations in families. Specifically, if F is a family of cuspidal automorphic representations with fixed central ...

#### The topology of Baues complexes and flip graphs

(Massachusetts Institute of Technology, 2017)

This thesis contains several results on the connectedness of Baues complexes and flip graphs, which are topological spaces modeling certain sets coming from geometric combinatorics. These sets include the triangulations ...

#### Equivariant cohomology and smooth p-toral actions

(Massachusetts Institute of Technology, 1980)

#### Triangulation of stratified sets,

(Massachusetts Institute of Technology, 1973)

#### Formation of Taylor vortices in spherical Couette flow

(Massachusetts Institute of Technology, 1984)

#### Natural language input for a computer problem solving system

(Massachusetts Institute of Technology, 1964)