Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domains

It is known that all the vector bundles of the title can be obtained by holomorphic induction from representations of a certain parabolic group on finite-dimensional inner product spaces. The representations, and the induced bundles, have composition series with irreducible factors. We write down an equivariant constant coefficient differential operator that intertwines the bundle with the direct sum of its irreducible factors. As an application, we show that in the case of the closed unit ball in C-n all homogeneous n-tuples of Cowen-Douglas operators are similar to direct sums of certain basic n-tuples. (c) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Domains beyond the grain boundary

Thin films of inorganic materials are used in diverse applications, typically in polycrystalline form due to their relatively simple production. We have used enhanced piezoresponse force microscopy to investigate the domain distribution within neighbouring grains in thin polycrystalline films of the ferroelectric-ferroelastic system lead zirconate titanate (PZT). We demonstrate that domains are organized into areas with a correlated alignment of the ferroelastic and ferroelectric domains, spanning multiple grain boundaries. We present five typical arrangements of such structures: azimuthal, radial, gradient, and short- and long- range linear domain organizations. Moreover, we discuss the mechanical and electrical constraints that dictate these structures. Copyright © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Rigorous finite-time guarantees for optimization on continuous domains by simulated annealing

Simulated annealing is a popular method for approaching the solution of a global optimization problem. Existing results on its performance apply to discrete combinatorial optimization where the optimization variables can assume only a finite set of possible values. We introduce a new general formulation of simulated annealing which allows one to guarantee finite-time performance in the optimization of functions of continuous variables. The results hold universally for any optimization problem on a bounded domain and establish a connection between simulated annealing and up-to-date theory of convergence of Markov chain Monte Carlo methods on continuous domains. This work is inspired by the concept of finite-time learning with known accuracy and confidence developed in statistical learning theory.

Traces of nonsmooth functions on polyhedral domains

introduced in this paper are the definitions of the traces for a class of nonsmooth functions on polyhedral domains. By analyzing their properties we get the structures of these traces.

Recommendation domains for pond aquaculture

This publication introduces the methods and results of a research project that has developed a set of decision-support tools to identify places and sets of conditions for which a particular target aquaculture technology is considered feasible and therefore good to promote. The tools also identify the nature of constraints to aquaculture development and thereby shed light on appropriate interventions to realize the potential of the target areas. The project results will be useful for policy planners and decision makers in national, regional and local governments and development funding agencies, aquaculture extension workers in regional and local governments, and researchers in aquaculture systems and rural livelihoods. (Document contains 40 pages)

Recommendation domains for pond aquaculture: country case study: development and status of freshwater aquaculture in Malawi

This monograph is a result of a 3-year project to produce a decision-support toolkit with supporting databases and case studies to help researchers, planners and extension agents working on freshwater pond aquaculture. The purpose of the work was to provide tools and information to help practitioners identify places and conditions where pond aquaculture can benefit the poor, both as producers and as consumers of fish. This monograph is the case study for Malawi. Written in three parts, it describes the historical background, practices, stakeholder profiles, production levels, economic and institutional environment, policy issues, and prospects for aquaculture in the country. First, it documents the history and current status of the aquaculture in the country. Second, it assesses the technologies and approaches that either succeeded or failed to foster aquaculture development and discusses why. Third, it identifies the key reasons for aquaculture adoption.

Recommendation domains for pond aquaculture: country case study: development and status of freshwater aquaculture in Cameroon

This report is an output of the project “Determination of high-potential aquaculture development areas and impact in Africa and Asia”. This monograph is the case study for Cameroon. Written in three parts, it describes the historical background, practices, stakeholder profiles, production levels, economic and institutional environment, policy issues, and prospects for aquaculture in the country. First, it documents the history and current status of the aquaculture in the country. Second, it assesses the technologies and approaches that either succeeded or failed to foster aquaculture development and discusses why. Third, it identifies the key reasons for aquaculture adoption.

Recommendation domains for pond aquaculture: country case study: development and status of freshwater aquaculture in Bangladesh

This report is an output of the project “Determination of high-potential aquaculture development areas and impact in Africa and Asia”. This monograph is the case study for Cameroon. Written in three parts, it describes the historical background, practices, stakeholder profiles, production levels, economic and institutional environment, policy issues, and prospects for aquaculture in the country. First, it documents the history and current status of the aquaculture in the country. Second, it assesses the technologies and approaches that either succeeded or failed to foster aquaculture development and discusses why. Third, it identifies the key reasons for aquaculture adoption.

Recommendation domains for pond aquaculture: country case study: development and status of freshwater aquaculture in Henan Province, China

This monograph is the case study for China, with a particular focus on Henan Province, the project location. Written in three parts, it first describes the historical background, production levels and trends, economic and institutional environment, policy issues, and market situation in China in general. The main part of the study presents findings from two different surveys conducted in Henan Province. County-level information is used to analyze the current situation of aquaculture, providing a more disaggregated picture than what is generally available from national statistics. Data collected in a survey of fish farmers in two locations in Henan are then analyzed with regard to the prevailing aquaculture technology and production practices, economic performance of pond fish farming, and the key reasons for aquaculture adoption. In the final chapter, constraints and opportunities for the aquaculture sector in China in general are discussed. (pdf contains 68 pages.)

Pharmacology and pore-forming domains of the cystic fibrosis transmembrane conductance regulator

The cystic fibrosis transmembrane conductance regulator (CFTR) is a chloride channel member of the ATP-binding cassette (ABC) superfamily of membrane proteins. CFTR has two homologous halves, each consisting of six transmembrane spanning domains (TM) followed by a nucleotide binding fold, connected by a regulatory (R) domain. This thesis addresses the question of which domains are responsible for Cl^- selectivity, i.e., which domains line the channel pore.

To address this question, novel blockers of CFTR were characterized. CFTR was heterologously expressed in Xenopus oocytes to study the mechanism of block by two closely related arylaminobenzoates, diphenylamine-2-carboxylic acid (DPC) and flufenamic acid (FFA). Block by both is voltage-dependent, with a binding site ≈ 40% through the electric field of the membrane. DPC and FFA can both reach their binding site from either side of the membrane to produce a flickering block of CFTR single channels. In addition, DPC block is influenced by Cl^- concentration, and DPC blocks with a bimolecular forward binding rate and a unimolecular dissociation rate. Therefore, DPC and FFA are open-channel blockers of CFTR, and a residue of CFTR whose mutation affects their binding must line the pore.

Screening of site-directed mutants for altered DPC binding affinity reveals that TM-6 and TM-12 line the pore. Mutation of residue 5341 in TM-6 abolishes most DPC block, greatly reduces single-channel conductance, and alters the direction of current rectification. Additional residues are found in TM-6 (K335) and TM-12 (T1134) whose mutations weaken or strengthen DPC block; other mutations move the DPC binding site from TM-6 to TM-12. The strengthened block and lower conductance due to mutation T1134F is quantitated at the single-channel level. The geometry of DPC and of the residues mutated suggest α-helical structures for TM-6 and TM-12. Evidence is presented that the effects of the mutations are due to direct side-chain interaction, and not to allosteric effects propagated through the protein. Mutations are also made in TM-11, including mutation S1118F, which gives voltage-dependent current relaxations. The results may guide future studies on permeation through ABC transporters and through other Cl^- channels.