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[...]

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

In this paper, we will define a function $H:\N \rightarrow \N$, whose output is the size of an optimized hypergraph based upon the restraints given by its input values. T[...]

The goal of this dissertation is to develop the formulation of the average minimal genus of all reduced alternating rational links with a given crossing number. Work has [...]

The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect k[...]

This thesis explores advanced manipulation and control of light’s structure, focusing on the degrees of freedom such as phase, polarization, and coherence. The research p[...]

This research has worked to develop a general computer implementation for symplectic algorithms applied to the N-body problem. A program was written to evolve an arbitra[...]