Mathematics

It is well known in knot theory that any link can be represented by a closed braid and the braid index of a link is the invariant defined as the minimum number of strands[...]

We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling pack[...]

In this dissertation we find estimates for the total number of eigenvalues of non-self-adjoint operators. We consider five different operators, three of them discrete and[...]

In this dissertation, we are mainly concerned with the sum of random exponentials. Here, the random variables are independent and identically distributed. Another distinc[...]

iic 2016Asmaa GetanALL RIGHTS RESERVEDiiiABSTRACT Branching Markov process models populations in which each individual in gener-ation n produces some random number of ind[...]

Diffusion is a scientific phenomena that can be modeled by partial differential equations. In this dissertation we first explore the development of equations for local, n[...]

Malaria is a preventable disease that kills hundreds of thousands of people worldwide each year. Focusing on the sporozoite stage of the parasite Plasmodium berghei, we i[...]

This dissertation is broadly concerned with the subsystem problem for subshifts on countable amenable groups: given a subshift $X$, what are its subsystems and can they b[...]

This dissertation contains several new results concerning Moser-type optimal stopping problems. In the simplest case we consider sequence of independent uniformly distrib[...]

In linear dynamics, bounded linear operators over infinite-dimensional Banach spaces have been shown to be able to exhibit interesting characteristics including topologic[...]