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Now showing items 1-10 of 744

#### Closed quasigeodesics, escaping from polygons, and conflict-free graph coloring

(Massachusetts Institute of Technology, 2018)

Closed quasigeodesics. A closed quasigeodesic on the surface of a polyhedron is a loop which can everywhere locally be unfolded to a straight line: thus, it's straight on faces, uniquely determined on edges, and has as ...

#### Abelian algebras and adjoint orbits

(Massachusetts Institute of Technology, 1981)

#### Local-rules based topological modeling of tetrahedral ceramic network structures

(Massachusetts Institute of Technology, 1998)

#### The Gowers norm in the testing of Boolean functions

(Massachusetts Institute of Technology, 2009)

A property tester is a fast, randomized algorithm that reads only a few entries of the input, and based on the values of these entries, it distinguishes whether the input has a certain property or is "different" from any ...

#### Approximate inference : decomposition methods with applications to networks

(Massachusetts Institute of Technology, 2009)

Markov random field (MRF) model provides an elegant probabilistic framework to formulate inter-dependency between a large number of random variables. In this thesis, we present a new approximation algorithm for computing ...

#### Quillen cohomology of pi-algebras and application to their realization by Martin Frankland.

(Massachusetts Institute of Technology, 2010)

We use the obstruction theory of Blanc-Dwyer-Goerss to study the realization space of certain - algebras with 2 non-trivial groups. The main technical tool is a result on the Quillen cohomology of truncated -algebras, which ...

#### Conformal and asymptotic properties of embedded genus-g minimal surfaces with one end

(Massachusetts Institute of Technology, 2009)

Using the tools developed by Colding and Minicozzi in their study of the structure of embedded minimal surfaces in R3 [12, 19-22], we investigate the conformal and asymptotic properties of complete, embedded minimal surfaces ...

#### On bubble dynamics and gas dynamics in open tubes

(Massachusetts Institute of Technology, 1997)

#### Pattern-avoidance in binary fillings of grid shapes

(Massachusetts Institute of Technology, 2009)

A grid shape is a set of boxes chosen from a square grid; any Young diagram is an example. We consider a notion of pattern-avoidance for 0-1 fillings of grid shapes, which generalizes permutation pattern-avoidance. A filling ...

#### The overconvergent de Rham-Witt complex

(Massachusetts Institute of Technology, 2009)

We define the overconvergent de Rham-Witt complex ... for a smooth affine variety over a perfect field in characteristic p. We show that, after tensoring with Q, its cohomology agrees with Monsky-Washnitzer cohomology. If ...