Browsing Electronic Theses and Dissertations by Department "Mathematics"
Now showing items 120 of 113

(20130801)Department: MathematicsWe consider various types of generalized bases in spaces of the type L^p(T), where T=[0,1]. More specifically, we determine whether there exists a system {f_n}_n, of the type under consideration, with the property f_n(t)>=0 ...

(20140626)Department: MathematicsThe work in this dissertation is about modeling the spread of an infectious disease in a closed community with two basic public health interventions: (i) identifying and isolating symptomatic cases, and (ii) tracing and ...

(20230614)Department: MathematicsThis thesis introduces and studies a natural generalization of the distortion function that applies to not necessarily finitely generated subgroups of finitely generated groups. We begin by computing this function in several ...

(20230614)Department: MathematicsThis thesis introduces and studies a natural generalization of the distortion function that applies to not necessarily finitely generated subgroups of finitely generated groups. We begin by computing this function in several ...

(20120625)Department: MathematicsThere is evidence that cancer develops when cells acquire a sequence of mutations. This sequence determines a hierarchy among the cells, based on how many more mutations they need to accumulate in order to become cancerous. ...

(20190329)Department: MathematicsThis work is motivated by the problem of recovering the magnetization M of a rock sample from a given set of measurements for the magnetic field it generates. Modeling the magnetization by an R 3 valued measure, we focus ...

(20051220)Department: MathematicsAn ordinary differential equations model for strep throat infection is constructed to compute the bacterial population densities of genotype combinations with binary switches in contingency genes. Theoretical analysis for ...

(20180711)Department: MathematicsLet V be a unitary vertex operator algebra (VOA) satisfying the following conditions: (1) V is of CFT type. (2) Every Ngradable weak V module is completely reducible. (3) V is C2cofinite. Let Rep(V)be the category of ...

(20210603)Department: MathematicsA holomorphic discrete series representation $(L_{\pi},H_{\pi})$ of a connected semisimple real Lie group $G$ is associated with an irreducible representation $(\pi,V_{\pi})$ of its maximal compact subgroup $K$. The ...

(20190711)Department: MathematicsSplines have been used to approximate the solutions of differential equations for a while. In the first part of this thesis, adaptive algorithms based on the finite element method and splines on triangulations with hanging ...

(20150727)Department: MathematicsA general model of agestructured population dynamics of early humans is developed and the fundamental properties of its solutions are analyzed. The model is a semilinear partial differential equation with a nonlinear ...

(20160620)Department: MathematicsAmenability is a fundamental in operator algebras. The classification of von Neumann algebras by Alain Connes is a milestone in the theory. The study of amenable subalgebras in II1 factors has led to many important ...

(20130415)Department: MathematicsResiduated lattices, which generalize Boolean algebras and latticeordered groups, have been useful in the study of algebraic logic, particularly as an algebraic semantics for substructural logics. By equipping a residuated ...

(20170619)Department: MathematicsA fundamental problem in signal processing called signal reconstruction, or signal recovery, is the determination of a signal from a sequence of samples obtained from the signal. The sampling process can be viewed as ...

(20220518)Department: MathematicsComplex Hadamard matrices are biunitaries for spin model commuting squares. The corresponding subfactor standard invariant can be identified with the $1$eigenspace of the angle operator defined by Vaughan Jones. We identify ...

(20160409)Department: MathematicsWe study annular algebras associated to a rigid C*tensor category, a generalization of both Ocneanu's tube algebra and Jones' affine annular category. We show that all ``sufficiently large' annular algebras are strongly ...

(20191023)Department: MathematicsThe sphere packing problem asks for the densest collection of nonoverlapping con gruent spheres in Rn. In 2016, Viazovska proved that the E8 lattice is optimal for n = 8. Subsequently, she with Cohn, Kumar, Miller, and ...

(20060621)Department: MathematicsThis work studies the behavior of the minimal discrete Riesz senergy and bestpacking distance on rectifiable sets as the cardinality N of point configurations gets large. We extend known asymptotic results for the ...

(20060609)Department: MathematicsIn this dissertation we first study the Faber polynomials for a piecewise analytic Jordan curve $L$ without inner cusps (some extra conditions are additionally imposed on $L$). Let $Omega$ and $G$ be, repectively, the ...

(20190321)Department: MathematicsThe uncertainty principle implies that a function and its Fourier transform cannot both be welllocalized. The BalianLow theorem is a version of the uncertainty principle for generators of Gabor orthonormal bases. This ...