The Density of States in the Two-Dimensional Electron Gas and Quantum Dots (Ph.D. thesis, Cornell University, January 1991)

This thesis describes capacitance and tunneling experiments performed on two-dimensional electron gas (2DEG) and quantum dot systems. It develops a system of equations that allow determination, by means of capacitance measurements, of the electronic density of states, the electron density, and the chemical potential in a 2DEG. The thesis describes the use of these techniques in the observation of a magnetic field induced energy gap to tunneling in the 2DEG and the single electron addition spectrum in arrays of quantum dots.