ON TYPE II0 E0-SEMIGROUPS INDUCED BY q-PURE MAPS ON Mn(C) Christopher Jankowski Robert Powers, Advisor Using a dilation theorem of Bhat, Powers has shown that every non-trivial spatial E0-semigroup can be obtained from a CP -flow acting on B(K ⊗ L(0,∞)), where K is a separable Hilbert space. In this thesis, we use boundary weight doubles (φ, ν) to define natural boundary weight maps which then ...

A theoretical model is presented that relates the ball-bat coefficient of restitution e to the ball coefficient of restitution e0 and dynamic stiffness k. The model is used to develop a technique to normalize e to values of e0 and k for a “standard ball.” The efficacy of this normalization technique is demonstrated by comparison with experimental data. It is shown to be vastly superior to a wid...

E(et+1|e0) = E(et|e0)− E(∆(et)|e0). ∗Kellogg School of Management, Northwestern University, Evanston, IL 60208, [email protected]. †Department of Economics, Harvard University, Cambridge, MA 02138, [email protected]. ‡Department of Economics, Northwestern University, Evanston, IL 60208, [email protected]. §Kellogg School of Management, Northwestern University, Evans...

L4 is the extension in Euclidean time, Z(0) is the lattice Schrödinger functional, without the external background field (U ext μ = 1). It can be shown that: Γ[U ] is invariant for lattice gauge transformations of the external links U ext μ , and limT→∞ Γ[U ] = E0[U ] − E0[0], E0[U ] vacuum energy in presence of the external background field. At finite temperature, we consider the thermal parti...

We show that for any two linear homogenous equations E0, E1, each with at least three variables and coefficients not all the same sign, any 2-coloring of Z+ admits monochromatic solutions of color 0 to E0 or monochromatic solutions of color 1 to E1. We define the 2-color off-diagonal Rado number RR(E0, E1) to be the smallest N such that [1, N ] must admit such solutions. We determine a lower bo...

We report an analysis of low-temperature measurements of the conductance of partially disordered reduced graphene oxide, finding that the data follow a simple crossover scenario. At room temperature, the conductance is dominated by two-dimensional (2D) electric field-assisted, thermally driven (Pollak-Riess) variable-range hopping (VRH) through highly disordered regions. However, at lower tempe...

Nicotinic acetylcholine receptor (AChR) channels at neuromuscular synapses rarely open in the absence of agonists, but many different mutations increase the unliganded gating equilibrium constant (E0) to generate AChRs that are active constitutively. We measured E0 for two different sets of mutant combinations and by extrapolation estimated E0 for wild-type AChRs. The estimates were 7.6 and 7.8...

In this paper we analyze the E0 cipher, which is the cipher used in the Bluetooth specifications. We adapted and optimized the Binary Decision Diagram attack of Krause, for the specific details of E0. Our method requires 128 known bits of the keystream in order to recover the initial value of the four LFSR’s in the E0 system. We describe several variants which we built to lower the complexity o...

We extend functional languages with high-level exception handling. To be specific, we allow sequential-choice expressions of the form E0 ▽ E1 where E0, E1 are expressions. These expressions have the following intended semantics: sequentially choose the first successful Ei and evaluate Ei where i = 0 or 1. These expressions thus allow us to specify an expression E0 with the failure-handling (exc...