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Browsing Theses - Dept. of Mathematics by Title
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(Massachusetts Institute of Technology, 2016)introduce a subset K2,A of the symplectic mapping class group, and an invariant ... that associates a characteristic class in Hochschild cohomology to every symplectomorphism ... K2,A. These are analogues to the familiar ...
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(Massachusetts Institute of Technology, 2009)Quantum complexity theory is important from the point of view of not only theory of computation but also quantum information theory. In particular, quantum multi-prover interactive proof systems are defined based on ...
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(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 ...
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(Massachusetts Institute of Technology, 1980)
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(Massachusetts Institute of Technology, 2010)The radiation field introduced by Friedlander provides a direct approach to the asymptotic expansion of solutions to the wave equation near null infinity. We use this concept to study the asymptotic behavior of solutions ...
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 2016)Stanley's Cauchy identity for Jack symmetric functions defines a Jack measure, a model random partitions for every analytic real function v(w) on the unit circle and parameters E2 < 0 < E1. Jacks are eigenfunctions of the ...
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(Massachusetts Institute of Technology, 2017)In the thesis we explore and develop two different approaches to the study of random tiling models. First, we consider tilings of a hexagon by rombi, viewed as 3D random stepped surfaces with a measure proportional to ...
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(Massachusetts Institute of Technology, 1984)
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(Massachusetts Institute of Technology, 2002)We find and describe the irreducible components of the space of rational curves on moduli spaces M of rank 2 stable vector bundles with odd determinant on curves C of genus g [greater than or equal to] 2. We prove that the ...
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(Massachusetts Institute of Technology, 2017)A key feature of integrability for systems of evolution PDEs ut = F(u), where F lies in a differential algebra of functionals V and u = (U1, ... , ul) depends on one space variable x and time t, is to be part of an infinite ...
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(Massachusetts Institute of Technology, 1993)
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(Massachusetts Institute of Technology, 1971)
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(Massachusetts Institute of Technology, 1969)
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(Massachusetts Institute of Technology, 1976)
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(Massachusetts Institute of Technology, 1966)
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 2017)In this thesis, we analyze the regularity method pioneered by Szemerédi, and also discuss one of its prevalent applications, the removal lemma. First, we prove a new lower bound on the number of parts required in a version ...
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(Massachusetts Institute of Technology, 1970)
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(Massachusetts Institute of Technology, 2003)We examine the regularity properties of solutions to an elliptic free boundary problem, near a Neumann fixed boundary. Consider a nonnegative function u which minimizes the functional ... on a bounded, convex domain ... ...
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