Vergleichende Sprachinselforschung: Sprachwandel in deutschen Sprachinseln in Russland und Brasilien

Dealing with convergence in German speech islands in Russia, Brazil and the United states the article discusses the linguistic phenomena related to the notion of convergence from different vantage points including intralinguistic convergence (due to dialect-dialect contact), interlinguistic convergence (due to language-language contact), typological "convergence" (or intralinguistic change), pidginization, and cognitive processes of simplification. Most of the German speech islands are considered to be contracting - if not dying - varieties with respect to the reduction of their grammatical systems. Evidently, for a long time language contact (and sometimes variety contact) have severely increased. Linguistic norms have been weakened in terms of both norm certainty and norm loyalty thus giving way to processes similar to those common to pidgin languages. External induced changes are highly remarkable in all German speech islands. But the susceptibility for change and the ways of change are structured by systematical and typological constraints which probably turn out to be cognitive processes underlying quite "normal" linguistic change. This change is discussed as a subsequent process of "regularization" (of irregular forms), simplification (of rules) and loss of grammatical distinctions (and their compensation). The linguistic description of these interrelated processes is based on an integrated approach providing methodology from sociolinguistics, dialectology and research on language change, including the attempt to highlight the cognitive structures which furrow the line for internal simplifications under external pressure. Comparative speech island research seems to be a promising field of application for the description of the intermesh of these processes

Exotic Phases in Attractive Fermions: Charge Order, Pairing, and Topological Signatures

Strongly interacting many-body systems remain a central challenge of modern physics. Recent developments in the field of ultra-cold atomic physics have opened a new window onto this enduring problem. Experimental progress has revolutionized the approach to studying many-body systems and the exotic behaviors that emerge in these systems. It is now possible to engineer and directly measure a variety of models that can capture the essential features of real materials without the added complexity of disorder, impurities, or complicated or irregular geometries. The parameters of these models can be freely tuned with tremendous precision. These experimental realizations are an ideal setting in which to test and calibrate computational many-body methods that can provide insight and quantitative understanding to many of the open questions in condensed matter and many-body physics. in this thesis we study several models of strongly interacting many-fermion systems using cutting-edge numerical techniques including Hartree-Fock-Bogoliubov (HFB) mean-field theory and auxiliary-field quantum Monte Carlo (AFQMC). We explore the exotic phases and behaviors that emerge in these systems, beginning with finite-momentum pairing states in attractive spin-polarized fermions. We next demonstrate the unique capability of AFQMC to treat systems with spin-orbit coupling (SOC). We obtain high-precision, and in many cases numerically exact, results on SOC systems that can eventually be compared directly to experiment. The first system we highlight is the attractive Fermi gas with Rashba SOC, which displays unconventional pairing, charge, and spin properties. We then study the coexistence of charge and superfluid order, as well as topological signatures, in attractive lattice fermions with Rashba SOC. Our results provide a new, high-accuracy understanding of a strongly interacting many-body system and its exotic behaviors. These techniques can serve as a general framework for the treatment of strong interactions and SOC in many-body systems, and provide a foundation for future work on exotic phases in models and real materials

The Seventh Circuit Missed the Bullseye in Walleye

The structure of agency relationships in a transaction should have no bearing on the outcome when the only difference between two hypothetical transactions is solely the facial structure. In the same vein, investor protection is at the forefront of the securities laws; commonly used limiting language for market announcements should not be enough to absolve a company from fraudulent disclosures, e.g., “preliminary results.” In Walleye Trading LLC v. AbbVie, Inc., a Seventh Circuit decision, the Court did the opposite and found that, based on pleadings at the motion to dismiss stage, an issuer is not liable for the misstatements of an outside agent in preliminary Dutch auction tender offer results. This finding is even more shocking when taking into account that the issuer had access to the raw data suitable to find and correct the misstatement. The ruling created an effective safe harbor for dissemination of hastily prepared information. Alone, the typical market practice of releasing preliminary tender offer results seems innocuous; but when paired with the reactionary nature of the market, it can guess artificial changes in stock pricing, and therefore harm investors, on an artificial basis. Insert bad actors, and the safe harbor allows them to utilize the artificial changes in pricing to game the market. The safe harbor needs to be closed. The rise in retail investor market participation evidences a need for greater investor protections. Without this change, the market is set to lose investor confidence, which is especially important as retail investing reaches all-time highs

Ground state structures of superparamagnetic 2D dusty plasma crystals

Ground state structures of finite, cylindrically confined two-dimensional Yukawa systems composed of charged superparamagnetic dust grains in an external magnetic field are investigated numerically, using molecular dynamic simulations and lattice summation methods. The ground state configuration of the system is identified using, as an approximation, the experimentally obtained shape of the horizontal confinement potential in a classical single layer dusty plasma experiment with non-magnetic grains. Results are presented for the dependence of the number density and lattice parameters of the dust layer on (1) the ratio of the magnetic dipole-dipole force to electrostatic force between the grains and (2) the orientation of the grain magnetic moment with respect to the layer.Comment: submitted to Phys. Rev.

Solving the Optimal Trading Trajectory Problem Using a Quantum Annealer

We solve a multi-period portfolio optimization problem using D-Wave Systems' quantum annealer. We derive a formulation of the problem, discuss several possible integer encoding schemes, and present numerical examples that show high success rates. The formulation incorporates transaction costs (including permanent and temporary market impact), and, significantly, the solution does not require the inversion of a covariance matrix. The discrete multi-period portfolio optimization problem we solve is significantly harder than the continuous variable problem. We present insight into how results may be improved using suitable software enhancements, and why current quantum annealing technology limits the size of problem that can be successfully solved today. The formulation presented is specifically designed to be scalable, with the expectation that as quantum annealing technology improves, larger problems will be solvable using the same techniques.Comment: 7 pages; expanded and update