This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated wit…
This is the only book discussing multifractal properties of densities of stable superprocesses, containing latest achievements while also giving the reader a comprehensive picture of the state of the art in this area. It is a self-contained presentation of regularity properties of stable superprocesses and proofs of main results and can serve as an introductory text for a graduate course. There…
This report outlines the rules on the taking and using of evidence in Austrian civil procedure law. On the basis of principles such as the free disposition of parties, the attenuated inquisitorial principle or the principles of orality and directness, the judge and the parties form a “working group” when investigating the matter in dispute. The Austrian concept of an active judge, however, …
When no samples are available to estimate a probability distribution, we have to invite some domain experts to evaluate the belief degree that each event will happen. Perhaps some people think that the belief degree should be modeled by subjective probability or fuzzy set theory. However, it is usually inappropriate because both of them may lead to counterintuitive results in this case. In o…
This book presents a philosophical approach to probability and probabilistic thinking, considering the underpinnings of probabilistic reasoning and modeling, which effectively underlie everything in data science. The ultimate goal is to call into question many standard tenets and lay the philosophical and probabilistic groundwork and infrastructure for statistical modeling. It is the first book…
This open access book develops a conceptual framework for glocal governance as a multi-stakeholder local governance approach based on global human rights norms and democratic principles. It discusses glocal governance as part of an ongoing global transformation process that began in the 1990s, when democracy and individualizing responsibilities for governance became the dominant political syste…
Now in its second edition, this textbook serves as an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and commo…
This book focuses on the global financial crisis of 2008-2009 and its implications for democracy. Why and how did the crisis come about? Are there any instructive lessons to be drawn from comparisons with the Great Depression of the 1930s? What are the democratic response mechanisms to cope with serious crises? Do they work? Is China a new trend setter? Do values matter? Are global democratic r…
This book presents a broad overview of the current state of knowledge regarding the Red Sea, from its geological formation and oceanographic development to the environmental influences on its ecology and the changes it is experiencing due to the rapid development of its coastlines and role as one of the world’s major transport routes. The book gathers invited contributions from researchers wi…
This open access book discusses service design capabilities in innovation processes, and provides a framework that guides design students, practitioners and researchers towards a better understanding of operational aspects of service design processes. More specifically, it revisits service designers’ capabilities in light of the new roles that have opened up in innovation processes on differe…