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Browsing Theses  Mathematics by Title

He, Siqian
(Massachusetts Institute of Technology, 1996)

Elizalde, Sergi, 1979
(Massachusetts Institute of Technology, 2004)
This thesis concerns the enumeration of patternavoiding permutations with respect to certain statistics. Our first result is that the joint distribution of the pair of statistics 'number of fixed points' and 'number of ...

Kamrin, Kenneth Norman
(Massachusetts Institute of Technology, 2008)
Granular materials such as sand or gravel surround us everyday and yet remain poorly understood. In this thesis, two models are developed for dense granular flow, each capable of predicting flows with accuracy in multiple ...

Sutton, Brian D. (Brian David)
(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 ...

Vaynblat, Dimitri
(Massachusetts Institute of Technology, 1996)

Evans, Lawrence C., 1949
(Massachusetts Institute of Technology, 2010)
This thesis consists of two results. The first result is a strong maximum principle for certain parabolic systems of equations, which, for illustrative purposes, I consider as reactiondiffusion systems. Using the theory ...

Lieberman, Arthur Larry
(Massachusetts Institute of Technology, 1970)

Suh, Uhi Rinn
(Massachusetts Institute of Technology, 2013)
The first part of the thesis provides three equivalent definitions of a classical finite Walgebra Wfin(g, f) and two equivalent definitions of a classical affine Walgebra W(g, f, k) associated to a Lie algebra g, a ...

D'Andrea, Alessandro, 1972
(Massachusetts Institute of Technology, 1998)

Ma, Yanyuan, 1970
(Massachusetts Institute of Technology, 1999)

Doubilet, Peter Michael
(Massachusetts Institute of Technology, 1973)

Varia, Mayank (Mayank Harshad)
(Massachusetts Institute of Technology, 2010)
Program obfuscation is the software analog to the problem of tamperproofing hardware. The goal of program obfuscation is to construct a compiler, called an "obfuscator," that garbles the code of a computer program while ...

Mainetti, Matteo, 1970
(Massachusetts Institute of Technology, 1998)

Dou, Carl C. Z. (Carl Changzhu)
(Massachusetts Institute of Technology, 1992)

Vadhan, Salil Pravin, 1973
(Massachusetts Institute of Technology, 1999)

Weeks, Dorothy W
(Massachusetts Institute of Technology, 1930)

Friedman, Harvey Martin, 1948
(Massachusetts Institute of Technology, 1967)

Heluani, Reimundo
(Massachusetts Institute of Technology, 2006)
We define and study the structure of SUSY Lie conformal and vertex algebras. This leads to effective rules for computations with superfields. Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct ...

Wen, Tong, 1970
(Massachusetts Institute of Technology, 2002)
Support Vector Machines (SVMs) have attracted recent attention as a learning technique to attack classification problems. The goal of my thesis work is to improve computational algorithms as well as the mathematical ...

Wilson, Michelle Marie Lucy
(Massachusetts Institute of Technology, 1995)