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Nonverbal Communication: Science and Applications
This book examines state-of-the-art research and knowledge regarding nonverbal behaviour and applies that scientific knowledge to a broad range of fields. It presents a true scientist-practitioner model, blending cutting-edge behavioural science with real-world practical experience.
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The Hidden People of North Korea
This unique book provides a comprehensive overview of all aspects of life in North Korea today. Drawing on decades of insider knowledge and experience, noted experts Ralph Hassig and Kongdan Oh explore a world few outsiders can imagine. In vivid detail, the authors describe how the secretive and authoritarian government of Kim Jong-il shapes every aspect of its citizens' lives, how the command socialist economy has utterly failed, and how ordinary individuals struggle to survive through small-scale capitalism. North Koreans remain hungry and oppressed, yet the outside world is slowly filtering in, and the book concludes by urging the United States to flood North Korea with information so that its people can make decisions based on truth rather than their dictator's ubiquitous propaganda.
Operator Theory in Harmonic and Non-commutative Analysis
This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.
Degree Theory of Immersed Hypersurfaces
The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function.
Compact Quotients of Cahen-Wallach Spaces
Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.
Subgroup Decomposition in Out(Fn)
In this work the authors develop a decomposition theory for subgroups of Out(Fn) which generalizes the decomposition theory for individual elements of Out(Fn) found in the work of Bestvina, Feighn, and Handel, and which is analogous to the decomposition theory for subgroups of mapping class groups found in the work of Ivanov.
Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convexity when one investigates the convexity properties of N-dimensional entropies. On the side of diffusion semigroups and evolution variational inequalities, the authors' new approach uses the nonlinear diffusion semigroup induced by the N-dimensional entropy, in place of the heat flow. Under suitable assumptions (most notably the quadraticity of Cheeger's energy relative to the metric measure structure) both approaches are shown to be equivalent to the strong CD∗(K,N) condition of Bacher-Sturm.
The Triangle-Free Process and the Ramsey Number R(3,k)
The areas of Ramsey theory and random graphs have been closely linked ever since Erdős's famous proof in 1947 that the “diagonal” Ramsey numbers R(k) grow exponentially in k. In the early 1990s, the triangle-free process was introduced as a model which might potentially provide good lower bounds for the “off-diagonal” Ramsey numbers R(3,k). In this model, edges of Kn are introduced one-by-one at random and added to the graph if they do not create a triangle; the resulting final (random) graph is denoted Gn,△. In 2009, Bohman succeeded in following this process for a positive fraction of its duration, and thus obtained a second proof of Kim's celebrated result that R(3,k)=Θ(k2/logk). In this paper the authors improve the results of both Bohman and Kim and follow the triangle-free process all the way to its asymptotic end.
Function Spaces, Theory and Applications
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They also have several essential applications in other fields of mathematics and engineering, e.g., robust control engineering, signal and image processing, and theory of communication. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins, e.g. the Bergman space A2, the Dirichlet space D, the model subspaces Kt,...
