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As in the case of the two previous volumes published in 1986 and 1997, the purpose of this monograph is to focus the interplay between real (functional) analysis and stochastic analysis show their mutual benefits and advance the subjects. The presentation of each article, given as a chapter, is in a research-expository style covering the respective topics in depth. In fact, most of the details are included so that each work is essentially self contained and thus will be of use both for advanced graduate students and other researchers interested in the areas considered. Moreover, numerous new problems for future research are suggested in each chapter. The presented articles contain a substantial number of new results as well as unified and simplified accounts of previously known ones. A large part of the material cov- ered is on stochastic differential equations on various structures, together with some applications. Although Brownian motion plays a key role, (semi-) martingale theory is important for a considerable extent. Moreover, noncommutative analysis and probabil- ity have a prominent role in some chapters, with new ideas and results. A more detailed outline of each of the articles appears in the introduction and outline to assist readers in selecting and starting their work. All chapters have been reviewed.
"The concept of global justice makes visible how we citizens of affluent countries are potentially implicated in the horrors so many must endure in the so-called less developed countries.Distinct conceptions of global justice differ in their specific criteria of global justice. However, they agree that the touchstone is how well our global institutional order is doing, compared to its feasible alternatives, in regard to the fundamental human interests that matter from a moral point of view.We are responsible for global regimes such as the global trading system and the rules governing military interventions. These institutional arrangements affect human beings worldwide, for instance by shaping the options and incentives of governments and corporations. Alternative paths of globalization would have differed in how much violence, oppression, and extreme poverty they engender. And global institutional reforms could greatly enhance human rights fullfillment in the future.The importance of this global justice approach reaches well beyond philosophy. It helps ordinary citizens evaluate their options and their responsibility for global institutional factors, and it challenges social scientists to address the causes of poverty and hunger that act across borders.The present volume addresses four main topics regarding global justice: The normative grounds for claims regarding the global institutional order, the substantive normative principles for a legitimate global order, the roles of legal human rights standards, and some institutional arrangements that may make the present world order less unjust.All royalties from this book have been assigned to Oxfam."
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