Browsing Department of Mathematics by Title
Now showing items 210229 of 825

Erecursively enumerable degrees
(Massachusetts Institute of Technology, 1980) 
Economic behavior from an evolutionary perspective
(Massachusetts Institute of Technology, 2015)The conflict between rational models of economic behavior and their systematic deviations, often referred to as behavioral economics, is one of the most hotly debated issues in social sciences. This thesis reconciles the ... 
An economic history of five midwestern railroads.
(Massachusetts Institute of Technology, 1977) 
Edge labellings of partially ordered sets
(Massachusetts Institute of Technology, 2003)It is well known that if a finite graded lattice of rank n is supersolvable, then it has an ELlabelling where the labels along any maximal chain form a permutation of [1, 2,..., n]. We call such a labelling an Sn ELlabelling ... 
Effective Chabauty for symmetric powers of curves
(Massachusetts Institute of Technology, 2014)Faltings' theorem states that curves of genus g > 2 have finitely many rational points. Using the ideas of Faltings, Mumford, Parshin and Raynaud, one obtains an upper bound on the upper bound on the number of rational ... 
Efficient distributed medium access algorithm
(Massachusetts Institute of Technology, 2010)Allocation or scheduling of resources among various entities contending for their access is one of the fundamental problem in engineering and operations research. To design a large, scalable networked systems, scheduling ... 
Efficient holographic proofs
(Massachusetts Institute of Technology, 1996) 
Efficient multiwavelet representation of the projector on divergencefree functions
(Massachusetts Institute of Technology, 2000) 
Eigenvalue statistics for betaensembles
(Massachusetts Institute of Technology, 2003)Random matrix theory is a maturing discipline with decades of research in multiple fields now beginning to converge. Experience has shown that many exact formulas are available for certain matrices with real, complex, or ... 
Eigenvalues and condition numbers of random matrices
(Massachusetts Institute of Technology, 1989) 
Eigenvalues and low energy eigenvectors of quantum manybody systems
(Massachusetts Institute of Technology, 2012)I first give an overview of the thesis and Matrix Product States (MPS) representation of quantum spin systems on a line with an improvement on the notation. The rest of this thesis is divided into two parts. The first part ... 
The eleven dimensional supergravity equations, resolutions and Lefschetz fiber metrics
(Massachusetts Institute of Technology, 2015)This thesis consists of three parts. In the first part, we study the eleven dimensional supergravity equations on B 7 x S 4 considered as an edge manifold. We compute the indicial roots of the linearized system using the ... 
Embedding theorems in the reducibility ordering of partial degrees.
(Massachusetts Institute of Technology, 1971) 
Enriques diagrams, arbitrarily near points, and Hilbert schemes
(European Mathematical Society, 201109)Given a smooth family F/Y of geometrically irreducible surfaces, we study sequences of arbitrarily near Tpoints of F/Y; they generalize the traditional sequences of infinitely near points of a single smooth surface. We ... 
Enumeration in algebra and geometry
(Massachusetts Institute of Technology, 1997) 
Enumerative algebraic geometry via techniques of symplectic topology and analysis of local obstructions
(Massachusetts Institute of Technology, 2002)Enumerative geometry of algebraic varieties is a fascinating field of mathematics that dates back to the nineteenth century. We introduce new computational tools into this field that are motivated by recent progress in ... 
Enumerative and algebraic aspects of matroids and hyperplane arrangements
(Massachusetts Institute of Technology, 2003)This thesis consists of three projects on the enumerative and algebraic properties of matroids and hyperplane arrangements. In particular, a central object of study is the Tutte polynomial, which stores much of the enumerative ... 
Enumerative problems in intersection theory
(Massachusetts Institute of Technology, 2003)We develop and describe some of the basic tools of intersection theory in algebraic geometry. Some classical enumerative problems are then solved using these methods. In particular, we discuss the Fano variety of a cubic ... 
Equivalent statements to exotic p.1. structures on the 4sphere.
(Massachusetts Institute of Technology, 1973) 
Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
(Massachusetts Institute of Technology, 2001)Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finitedimensional ...