Boundary non-crossings of Brownian pillow

Let B_0(s,t) be a Brownian pillow with continuous sample paths, and let h,u:[0,1]^2\to R be two measurable functions. In this paper we derive upper and lower bounds for the boundary non-crossing probability \psi(u;h):=P{B_0(s,t)+h(s,t) \le u(s,t), \forall s,t\in [0,1]}. Further we investigate the asymptotic behaviour of $\psi(u;\gamma h)$ with $\gamma$ tending to infinity, and solve a related minimisation problem.Comment: 14 page

Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II

In the first part, we have constructed several families of interacting wedge-local nets of von Neumann algebras. In particular, there has been discovered a family of models based on the endomorphisms of the U(1)-current algebra of Longo-Witten. In this second part, we further investigate endomorphisms and interacting models. The key ingredient is the free massless fermionic net, which contains the U(1)-current net as the fixed point subnet with respect to the U(1) gauge action. Through the restriction to the subnet, we construct a new family of Longo-Witten endomorphisms on the U(1)-current net and accordingly interacting wedge-local nets in two-dimensional spacetime. The U(1)-current net admits the structure of particle numbers and the S-matrices of the models constructed here do mix the spaces with different particle numbers of the bosonic Fock space.Comment: 33 pages, 1 tikz figure. The final version is available under Open Access. CC-B

Profitability and Nitrate Leaching Effects of Possible Farming Practice and System Changes Over South Dakota\u27s Big Sioux Aquifer: Case Farm No. 1 Summary

The overall goal of the SARE/Water Quality project was to determine whether economic incentives offered by recent environmental provisions of the Federal farm program are sufficient to induce Western Corn Belt/Northern Great Plains farmers in environmentally sensitive areas to adopt sustainable farming practices and systems. To attain this goal, four case farms were chosen to be involved in this study based on their size, soil types, cropping systems, topography, and management in the Big Sioux Aquifer study area

Profitability and Nitrate Leaching Effects of Possible Farming Practice and System Changes Over South Dakota\u27s Big Sioux Aquifer: Case Farm No. 1 Summary

The overall goal of the SARE/Water Quality project was to determine whether economic incentives offered by recent environmental provisions of the Federal farm program are sufficient to induce Western Corn Belt/Northern Great Plains farmers in environmentally sensitive areas to adopt sustainable farming practices and systems. To attain this goal, four case farms were chosen to be involved in this study based on their size, soil types, cropping systems, topography, and management in the Big Sioux Aquifer study area

Profitability and Nitrate Leaching Effects of Possible Farming Practice and System Changes Over South Dakota\u27s Big Sioux Aquifer: Case Farm No. 2 Summary

The overall goal of the SARE/Water Quality project was to determine whether economic incentives offered by recent environmental provisions of Federal farm program are sufficient to induce Western Corn Belt/Northern Plains farmers in environmentally sensitive areas to adopt sustainable fa practices and systems. To attain this goal, four case farms were chosen involved in this study based on their size, soil types, cropping systems, topography, and management in the Big Sioux Aquifer study area. Case Farm No. 2 is located in Moody County and followed a corn-soybean oats rotation on the acres focused on in the analysis prior to enrollment the Integrated Crop Management (ICM) program. It is a dry-land operation used conventional tillage prior to enrollment in the ICM program. The total operation consists of 1,858 acres, with 710 acres under the ICM program focused on 299 of those ICM acres in our analyses. Lamo and Clamo soils up the majority of the ICM crop acres. These are medium to fine-textured soils overlying a shallow drinking water aquifer

Profitability and Nitrate Leaching Effects of Possible Farming Practice and System Changes Over South Dakota\u27s Big Sioux Aquifer: Case Farm No. 4 Summary

The overall goal of the SARE/Water Quality project was to determine whether economic incentives offered by recent environmental provisions of the Federal farm program are sufficient to induce Western Corn Belt/Northern Great Plains farmers in environmentally sensitive areas to adopt sustainable farming practices and systems. To attain this goal, four case farms were chosen to be involved in this study based on their size, soil types, cropping systems, topography, and management in the Big Sioux Aquifer study area. Case Farm No. 4 is located in Brookings County and followed a continuous corn rotation prior to enrollment in the Water Quality Incentive Program (WQIP). It is an irrigated operation that uses a center-pivot system. Conventional tillage practices are used. The total operation consists of 838 acres, with 213 acres enrolled in the WQIP program. One hundred and fifty of those acres received irrigation management assistance. In one 73-acre field irrigated by a center-pivot system, 66 acres were assumed to be under the center-pivot system and the other 7 acres were assumed to be in the corners of the field where the center-pivot system could not reach. These 7 acres were designated as the set-aside acres for the baseline before scenario. This 73-acre field was focused on in our analyses. The majority of the soils in this field are a combination of coarse-textured (Fordville), and fine-textured (Marysland) soils. Both of these soils overlay a shallow drinking water aquife

Profitability and Nitrate Leaching Effects of Possible Farming Practice and System Changes Over South Dakota\u27s Big Sioux Aquifer: Case Farm No. 1 Summary

The overall goal of the SARE/Water Quality project was to determine whether economic incentives offered by recent environmental provisions of the Federal farm program are sufficient to induce Western Corn Belt/Northern Great Plains farmers in environmentally sensitive areas to adopt sustainable farming practices and systems. To attain this goal, four case farms were chosen to be involved in this study based on their size, soil types, cropping systems, topography, and management in the Big Sioux Aquifer study area

Profitability and Nitrate Leaching Effects of Possible Farming Practice and System Changes Over South Dakota\u27s Big Sioux Aquifer: Case Farm No. 3 Summary

The overall goal of the SARE/Water Quality project was to determine whether economic incentives offered by recent environmental provisions of the Federal farm program are sufficient to induce Western Corn Belt/Northern Great Plains farmers in environmentally sensitive areas to adopt sustainable farming practices and systems. To attain this goal, four case farms were chosen to be involved in this study based on their size, soil types, cropping systems, topography, and management in the Big Sioux Aquifer study area. Case Farm No.3 is located in Minnehaha County and has corn, soybeans, oats, alfalfa, and clover. It is a dry-land operation that uses conventional tillage. The total operation consists of 168 acres, with 108 of the acres under the Water Quality Incentive program (WQIP) being focused on in the study. The acres are divided into two separate fields that are managed differently. A corn/soybean rotation is followed on the lower field and inorganic fertilizers were used. The upper field contains two different rotations. One rotation is a corn/oats,clover rotation and the other is a corn/oats,alf/alf/alf/alf/alf rotation. The majority of the soils on the lower field under WQIP are a combination of medium (Brandt), and coarse textured (La Prairie) soils. Both of these soils overlay a shallow drinking water aquifer. The upper field was mostly Moody soils (medium-textured). These soils don\u27t overlay an aquifer, but contribute to the runoff onto the lower field

Transmission electron microscopical studies of the layered structure of the ternary semiconductor CuIn₅Se₈

The structure of the off-stoichiometric In-rich ternary phase CuIn5Se8 was studied by means of electron diffraction and high-resolution electron microscopy. The compound shows a layered structure with a 7-layer stacking sequence of closed-packed planes, which contains both cubic and hexagonal stacking of Se atoms. The studied CuIn5Se8 bulk crystal is known as the b-phase of this compound

A mineralogical record of ocean change: decadal and centennial patterns in the California mussel

Ocean acidification, a product of increasing atmospheric carbon dioxide, may already have affected calcified organisms in the coastal zone, such as bivalves and other shellfish. Understanding species’ responses to climate change requires the context of long-term dynamics. This can be particularly difficult given the longevity of many important species in contrast with the relatively rapid onset of environmental changes. Here, we present a unique archival dataset of mussel shells from a locale with recent environmental monitoring and historical climate reconstructions. We compare shell structure and composition in modern mussels, mussels from the 1970s, and mussel shells dating back to 1000–2420 years BP. Shell mineralogy has changed dramatically over the past 15 years, despite evidence for consistent mineral structure in the California mussel, Mytilus californianus, over the prior 2500 years. We present evidence for increased disorder in the calcium carbonate shells of mussels and greater variability between individuals. These changes in the last decade contrast markedly from a background of consistent shell mineralogy for centuries. Our results use an archival record of natural specimens to provide centennial-scale context for altered minerology and variability in shell features as a response to acidification stress and illustrate the utility of long-term studies and archival records in global change ecology. Increased variability between individuals is an emerging pattern in climate change responses, which may equally expose the vulnerability of organisms and the potential of populations for resilience