The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using the time symmetry properties of the Markov processes, the book develops the techniques that allow us to deal with infinite dimensional models that appear in statistical mechanics and engineering (interacting particle systems, homogenization in random environments, and diffusion in turbulent flows, to mention just a few applications). The first part contains a detailed exposition of the method, and can be used as a text for graduate courses. The second concerns application to exclusion processes, in which the duality methods are fully exploited. The third part is about the homogenization of diffusions in random fields, including passive tracers in turbulent flows (including the superdiffusive behavior). There are no other books in the mathematical literature that deal with this kind of approach to the problem of the central limit theorem. Hence, this volume meets the demand for a monograph on this powerful approach, now widely used in many areas of probability and mathematical physics. The book also covers the connections with and application to hydrodynamic limits and homogenization theory, so besides probability researchers it will also be of interest also to mathematical physicists and analysts.
Mothers, Families, or Children? is the first comparative-historical study of family policies in Poland, Hungary, and Romania from 1945 until the eve of the global pandemic in 2020. The book highlights the emergence, consolidation, and perseverance of three types of family policies based on “mother-orientation” in Poland, “family orientation” in Hungary, and “child-orientation” in Romania. It uses a new theoretical framework to identify core and contingent clusters of benefits and services in each country and trace their development across time and under different political regimes, before and after 1989. It also examines and compares policy continuity and change with special attention to institutions, ideas, and actors involved in decision making and reform. As family policies continue to evolve in the era of European Union membership and new governmental and societal actors emerge, this study reveals mechanisms that help preserve core family policy clusters while allowing reform in contingent ones in each country.
The strengthening of relations between Poland and Ukraine over the last 25 years is one of the most positive examples of transformations in bilateral relations in Central and Eastern Europe. In spite of the complex and difficult historical heritage dominated by the events of the World War II and the first few years that followed, after the fall of Communism in Poland and Ukraine, bilateral institutional cooperation was successfully undertaken, and mutual social contacts were recreated. The issue of Polish-Ukrainian relations at the international and trans-border level gained particular importance at the moment of expansion of the European Union to the east, and announcement of the assumptions of the European Neighbourhood Policy in 2004. Since then, relations have continued to thrive and provide a blueprint for cross-border relations in other parts of the EU. In this book the authors examine the issue of cooperation and cross-border relations on the new external border of the EU. The book’s primary objective is to present the way in which the Polish and Ukrainian parties develop the bilateral cooperation, adapting to the changing geopolitical conditions, and responding to the related challenges. The chapters offer a comprehensive diagnosis of the conditions determining the current and future state of Polish-Ukrainian cross-border cooperation and describe the area as a social, economic, and political space. The EU’s New Borderland will be of interest to university students of international relations, geography, economy, or history as well as those willing to expand their knowledge in the scope of regional geography, European integration, cross-border cooperation, and international relations.
How does a smart organization model enable self-governments to lead local and regional development in a sustainable and resilient manner? What are key aspects of smart organizations impacting the success of self-governments in attracting and retaining residents, entrepreneurs, and investors? Smart organizations became a relevant construct in economic and management sciences. They supply many practical applications for self-governments and public sector organizations that are looking for effective ways to leverage their resources and capabilities in the local and regional development process. This research monograph indicates how factors of smart organizations in local administration lead to sustainable and resilient development processes. In parallel, the monograph is a practical guide for local government managers looking for the best, international practices in collecting, researching, and interpreting data for making decisions that influence the competitiveness and market position of locations they govern.
The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using the time symmetry properties of the Markov processes, the book develops the techniques that allow us to deal with infinite dimensional models that appear in statistical mechanics and engineering (interacting particle systems, homogenization in random environments, and diffusion in turbulent flows, to mention just a few applications). The first part contains a detailed exposition of the method, and can be used as a text for graduate courses. The second concerns application to exclusion processes, in which the duality methods are fully exploited. The third part is about the homogenization of diffusions in random fields, including passive tracers in turbulent flows (including the superdiffusive behavior). There are no other books in the mathematical literature that deal with this kind of approach to the problem of the central limit theorem. Hence, this volume meets the demand for a monograph on this powerful approach, now widely used in many areas of probability and mathematical physics. The book also covers the connections with and application to hydrodynamic limits and homogenization theory, so besides probability researchers it will also be of interest also to mathematical physicists and analysts.
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