ProQuest Subject Index - Mathematics at GEORGIA INSTITUTE OF TECHNOLOGY

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You are viewing titles for GEORGIA INSTITUTE OF TECHNOLOGY in the Mathematics available through the UMI Dissertations & Thesis Gradwoorks site

Mathematical modeling of fines migration and clogging in porous media	Algorithmic and topological aspects of semi-algebraic sets defined by quadratic polynomials

Validated continuation for infinite dimensional problems	Discrete numerical simulations of solid oxide fuel cell electrodes developing new tools for fundamental investigation

An extension of KAM theory to quasi-periodic breather solutions in Hamiltonian lattice systems	Enumerative combinatorics of posets

Tree-based decompositions of graphs on surfaces and applications to the Traveling Salesman Problem	Optimal concentration for SU(1, 1) coherent state transforms and an analogue of the Lieb-Wehrl conjecture for SU(1, 1)

Problems and results in partially ordered sets, graphs and geometry	Single-row mixed-integer programs: Theory and computations

Contributions to computer experiments and binary time series	Analysis of two problems in signal quantization and A/D conversion

New combinatorial techniques for nonlinear orders	The Noncommutative Geometry of ultrametric Cantor sets

Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices	Cohomology and K-theory of aperiodic tilings

Approximating the circumference of 3-connected claw-free graphs	Nonlinear oscillation and control in the BZ chemical reaction

On the limiting shape of random young tableaux for Markovian words	Aspects of random matrix theory: Concentration and subsequence problems

Random dot product graphs: A flexible model for complex networks	Some problems in the theory of open dynamical systems and deterministic walks in random environments

Random sampling of lattice configurations using local Markov chains	Additive structure, rich lines, and exponential set-expansion

Extensions of Principal Components Analysis	Billiards and statistical mechanics

Hamiltonian systems and the calculus of differential forms on the Wasserstein space	Intractability results for problems in computational learning and approximation

A parallel geometric multigrid method for finite elements on octree meshes applied to elastic image registration	Mixed integer programming approaches for nonlinear and stochastic programming

Parabolic systems and an underlying Lagrangian	Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian

Gabor and wavelet analysis with applications to Schatten class integral operators	Some results on linear discrepancy for partially ordered sets

A study of discrepancy results in partially ordered sets	Riemannian geometry of compact metric spaces

Asymptotic properties of Muntz orthogonal polynomials	Modulation spaces, BMO and the Zak transform, and minimizing IPH functions over the unit simplex

Estimates for discrepancy and Calderon-Zygmund operators	Color-critical graphs on surfaces

Scaling limit for the diffusion exit problem	Sharp weighted estimates for singular integral operators

Isospectral graph reductions, estimates of matrices' spectra, and eventually negative Schwarzian systems	Normally elliptic singular perturbation problems: Local invariant manifolds and applications

Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains	Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian

Topics in spatial and dynamical phase transitions of interacting particle systems	Some approximation algorithms for multi-agent systems

Empirical likelihood and extremes	New approaches to integer programming

Estimating the maximum probability of categorical classes with applications to biological diversity measurements	Non-asymptotic bounds for prediction problems and density estimation

Legendrian and transverse knots and their invariants	The volume conjecture, the AJ conjectures and skein modules

5-list-coloring graphs on surfaces