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You are viewing titles for PURDUE UNIVERSITY in the Mathematics available through the UMI Dissertations & Thesis Gradwoorks site
Quadratic stability and block diagonal quadratic stability analysis for a special class of nonlinear systems
A Dolbeault isomorphism theorem in infinite dimensions
Application of fractional Brownian motion to portfolio optimization: Sharp estimation on almost sure asymptotic behavior of Brownian polymer in fractional Brownian environment
Scattering theory of hyperbolic spaces with potential scatterer
Mathematical modeling of HIV-1 infection and drug therapy
Horseshoes, solenoids, and holomorphic motions for Henonmaps
Study of the effect of plant toxicity on a plant-herbivore model and its applications
Finite fields of low characteristic in elliptic curve cryptography
Solutions of the Ginzburg-Landau equations for d-wave superconductors and a proof of their fourfold symmetry
Zeros of sections of exponential sums
A biholomorphism from the Bell representative domain onto an annulus and kernel functions
Multiplicities of graded algebras
Rank three symplectic groups
The Curvelet Transform. A generalized definition and approximation properties.
The interplay of isolation from reproduction with demography and sexually transmitted diseases
Bernstein-Sato polynomials and Picard-Lefschetz monodromy
Some results in the problem of simultaneous resolution of singularities
Modeling, analysis and simulation of multi-phase flows
Fundamental group in positive characteristic
Applications of the Schwarz function to a class of multiply connected domains with symmetries
Mathematical modeling of host-parasite dynamics
Functoriality for the classical groups over function fields
Some results on Hadamard closure and variation diminishing properties of totally nonnegative matrices
On forward-backward stochastic differential equations and related numerical methods
Hochschild cohomology and the Smith resolution
Mixed finite element methods for the Stokes and Navier-Stokes equations
Some lower and upper bounds in real algebraic geometry
A generalization of the Lyndon-Hochschild-Serre spectral sequence for polynomial cohomology
Properties of heat kernels
Regularity of sub-Gaussian processes and other random fields
Vertex reinforced jump processes on one dimensional weighted environments
Generic p-rank for semi-stable fibrations
Zeta functions as iterated integrals
Stochastic analysis and differential equations with respect to fractional Brownian motion
Bergman coordinates on finite Riemann surfaces
Holomorphic Banach bundles over compact manifolds
Fast spectral methods for incompressible flows
Crossed products and their finite dimensional approximation properties
Computation of fixed point data from equivariant cohomology
Error bound for numerical methods for the ROF image smoothing model
Quadratic nonlinear expectations and risk measures
Some mathematical models and scientific computations in epidemiology and immunology
The logistic, two-sex, age-structured population model with births outside marriages
A monoidal structure in the category of cosimplicial chain complexes
On the cohomology of a simple normal crossings divisor and its dual complex, with applications to isolated singularities
Efficient and stable spectral methods for acoustic scattering over bounded obstacles
Numerical methods for large Lyapunov equations
Direct and inverse scattering on conformally compact manifolds and asymptotically hyperbolic manifolds with polyhomogeneous metric
G-Frobenius algebras, twisting, and the Drinfeld double
Weighted homogeneous polynomials and the Jacobian
Low genus algebraic curves in cryptography
Variational solutions to SPDE perturbed by a General Gaussian Noise
A solution method for zero dimensional polynomial equation systems and a pose-free framework for the robust solution of the structure from motion problem
Filtered numerical semigroups and applications to one-dimensional rings
Path and spectral properties of certain Levy processes
Limiting performance of a one-unit system under various repair models
Some examples in the non-stable K-theory of C*-algebras
Formulas for the multiplicity of graded algebras
Robust recovery based a posteriori error estimators for various lower-order finite element approximations to interface problems
Infinitely generated analytic sheaves
Descent and the generic packet conjecture
Monomial curves, Gorenstein ideals and Stanley decompositions
Developing fast and accurate parallel solver for multi-scales biochemical reacting systems
Variations and Hurst index estimation for self-similar processes
On numerical properties of data assimilation methods
Parallel iterative algorithms for large sparse linear systems
Lyapunov exponents for stochastic Anderson models with non-Gaussian noise; portfolio optimization in discrete time with proportional transaction costs under stochastic volatility
Transfer from GSO(4) to GL(4) and L-functions
Robust equilibria: Normal-form, extensive-form, and repeated games
Studies of dynamics of infectious diseases using mathematical models
Homology operations in the spectral sequence of a cosimplicial space
Results on geometric flow
Exact solutions to the six-vertex model with domain wall boundary conditions and uniform asymptotics of discrete orthogonal polynomials on an infinite lattice
Coupled energetic models for incompressible nematic elastomers
Several problems in number theory
The necessary condition for ∂-equation in Holder space in C3
Reducibility of certain induced representations of E6 and E7
Betti numbers, Hilbert series and the strong Lefschetz property
On the point-spectra of adjoints of composition operators and weighted composition operators
A solution to Schroeder's equation in several variables
Efficient spectral methods and stable time discretizations for a class of parabolic type PDES
Group schemes and local densities of quadratic lattices in residue characteristic 2
Theoretical and computational analysis of a Ginzburg-Landau type energy model for smectic-C* liquid crystals with defects
Linkage and Hilbert functions
D-bar and Dirac type operators on classical and quantum domains
An analysis of crystalline surface diffusion in the framework of subdifferential method
High-order numerical methods and algorithms: Eigen-based spectral element approach
Filtered local systems and parabolic Higgs bundles
Holomorphic curves with bounded Fubini-Study derivative
On the holomorphy of exterior-square L-functions
Iterated fractional Brownian motion: Tail estimates and large deviations
Invariants of continuous fields of C* algebras
Plurisubharmonic domination in Frechet spaces
The dynamics of twisted tent maps
An electromagnetics-based circuit simulator of linear complexity, linear speedup, minimal order, and unconditional stability