The causal perturbation expansion of the fermionic projector is performed with a contour integral method. Different normalization conditions are analyzed. It is shown that the corresponding light-cone expansions are causal in the sense that they only involve bounded line integrals. For the resulting loop diagrams we prove a generalized Furry theorem.

ADITI MAJUMDER: A Practical Framework to Achieve Perceptually Seamless Multi-Projector Displays (Under the direction of Prof. Greg Welch and Prof. Rick Stevens) Arguably the most vexing problem remaining for planar multi-projector displays is that of color seamlessness between and within projectors. While researchers have explored approaches that strive for strict color uniformity, this goal ty...

We show that a locally Lipschitz homeomorphism function is semismooth at a given point if and only if its inverse function is semismooth at its image point. We present a sufficient condition for the semismoothness of solutions to generalized equations over cone reducible (nonpolyhedral) convex sets. We prove that the semismoothness of solutions to the Moreau-Yosida regularization of a lower sem...

Recently oblique projection has been studied for many applications in signal processing. In this paper, the concept of oblique projection is applied to develop an algorithm for hyperspectral image classi"cation. Compared with the orthogonal subspace projector (OSP), it can be found that OSP is a priori classi"er but the oblique subspace projection classi"er will be referred to a posterior. As a...

The transport of cold atoms in shallow optical lattices is characterized by slow, nonstationary momentum relaxation. We develop a projector operator method able to derive, in this case, a generalized Smoluchowski equation for the position variable. We show that this explicitly non-markovian equation can be written as a systematic expansion involving higher-order derivatives. We use the latter t...

We consider generalized inverses of linear operators on arbitrary vector spaces and study the question when their product in reverse order is again a generalized inverse. It turns out that this problem is equivalent to the question when the product of projectors is again a projector, and we discuss necessary and sufficient conditions in terms of the defining spaces. We present a new representat...

Multi-objective control systems for complex robots usually have to handle multiple prioritized tasks. Most existing hierarchical control techniques handle either strict task priorities by using null-space projectors or a sequence of quadratic programs; or non strict task priorities by using a weighting strategy. This paper proposes a novel approach to handle both strict and non-strict prioritie...