With the development of financial markets and increasing demand for managing risk exposure, researchers and practitioners have developed various financial instruments ove[...]

The classical secretary problem was an optimal selection thought experiment for a decision process where candidates with independent and identically distributed values to[...]

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[...]

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[...]

The main result of this dissertation concerns the asymptotics, uniform in t and x, of the probability distribution of a random walk with heavy tails. The random walk is a[...]