In this dissertation we answer the following question: If $X$ is a Cantor set and $T:X\to X$ is a homeomorphism, what possible orbit structures can $T$ have? The answer is given in terms of the orbit spectrum of $T$. If ...
In this work we explore various piston configurations with different types of potentials. We analyze Laplace-type operators $P=-g^{ij}\nabla^E_i\nabla^E_j+V$ where $V$ is the potential. First we study delta potentials and ...
We study the representation theory of the solution space of the one-dimensional Schrödinger equation with time-dependent potentials that possess sl2-symmetry. We give explicit local intertwining maps to multiplier ...
The theory of u₀-positive operators with respect to a cone in a Banach space is applied to the linear differential equations u⁽⁴⁾ + λ₁p(x)u = 0 and u⁽⁴⁾ + λ₂q(x)u = 0, 0 ≤ x ≤ 1, with each satisfying the boundary conditions ...
We study asymptotic behavior arising in inverse limit spaces of dendrites. In particular, the inverse limit is constructed with a single unimodal bonding map, for which points have unique itineraries and the critical point ...