The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.

The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.

This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the two parts can be read independently, the ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.

Presenting a collection of exploratory ideas, this book offers an understanding of buildings, people and settlements through concepts of flow. The metaphorical term 'the space of flows' was coined by the sociologist Manuel Castells. This book addresses this topic and the interest in processes that flow across traditional boundaries from the person to the building, from the sense of self to the settlement, from economics to identity.

An exploration of the modest potentials and serious contradictions of reconfiguring urban life through computational operating systems. A new wave of enthusiasm for smart cities, urban data, and the Internet of Things has created the impression that computation can solve almost any urban problem. Subjecting this claim to critical scrutiny, in this book, Andrés Luque-Ayala and Simon Marvin examine the cultural, historical, and contemporary contexts in which urban computational logics have emerged. They consider the rationalities and techniques that constitute emerging computational forms of urbanization, including work on digital urbanism, smart cities, and, more recently, platform urbanism. They explore the modest potentials and serious contradictions of reconfiguring urban life, city services, and urban-networked infrastructure through computational operating systems.

In this book, the author develops a relational concept of space that encompasses social structure, the material world of objects and bodies, and the symbolic dimension of the social world. Löw’s guiding principle is the assumption that space emerges in the interplay between objects, structures and actions. Based on a critical discussion of classic theories of space, Löw develops a new dynamic theory of space that accounts for the relational context in which space is constituted. This innovative view on the interdependency of material, social, and symbolic dimensions of space also permits a new perspective on architecture and urban development.

The sixth edition of the highly successful The City Reader juxtaposes the very best classic and contemporary writings on the city to provide the comprehensive mapping of the terrain of Urban Studies and Planning old and new. The City Reader is the anchor volume in the Routledge Urban Reader Series and is now integrated with all ten other titles in the series. This edition has been extensively updated and expanded to reflect the latest thinking in each of the disciplinary areas included and in topical areas such as compact cities, urban history, place making, sustainable urban development, globalization, cities and climate change, the world city network, the impact of technology on cities, resilient cities, cities in Africa and the Middle East, and urban theory. The new edition places greater emphasis on cities in the developing world, globalization and the global city system of the future. The plate sections have been revised and updated. Sixty generous selections are included: forty-four from the fifth edition, and sixteen new selections, including three newly written exclusively for The City Reader. The sixth edition keeps classic writings by authors such as Ebenezer Howard, Ernest W. Burgess, LeCorbusier, Lewis Mumford, Jane Jacobs, and Louis Wirth, as well as the best contemporary writings of, among others, Peter Hall, Manuel Castells, David Harvey, Saskia Sassen, and Kenneth Jackson. In addition to newly commissioned selections by Yasser Elshestawy, Peter Taylor, and Lawrence Vale, new selections in the sixth edition include writings by Aristotle, Peter Calthorpe, Alberto Camarillo, Filip DeBoech, Edward Glaeser, David Owen, Henri Pirenne, The Project for Public Spaces, Jonas Rabinovich and Joseph Lietman, Doug Saunders, and Bish Sanyal. The anthology features general and section introductions as well as individual introductions to the selected articles introducing the authors, providing context, relating the selection to other selection, and providing a bibliography for further study. The sixth edition includes fifty plates in four plate sections, substantially revised from the fifth edition.

Although rarely explored in academic literature, most inhabitants and visitors interact with an urban landscape on a day-to-day basis is on the street level. Storefronts, first floor apartments, and sidewalks are the most immediate and common experience of a city. These "plinths" are the ground floors that negotiate between inside and outside, the public and private spheres. The City at Eye Level qualitatively evaluates plinths by exploring specific examples from all over the world. Over twenty-five experts investigate the design, land use, and road and foot traffic in rigorously researched essays, case studies, and interviews. These pieces are supplemented by over two hundred beautiful color images and engage not only with issues in design, but also the concerns of urban communities. The editors have put together a comprehensive guide for anyone concerned with improving or building plinths, including planners, building owners, property and shop managers, designers, and architects.

Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and combinatorial) group theory, topology, dynamical systems and probability theory. In the first two chapters of the book, a concise introduction into these spaces is given, culminating in the Hadamard-Cartan theorem and the discussion of the ideal boundary at infinity for simply connected complete spaces of nonpositive curvature. In the third chapter, qualitative properties of the geodesic flow on geodesically complete spaces of nonpositive curvature are discussed, as are random walks on groups of isometries of nonpositively curved spaces. The main class of spaces considered should be precisely complementary to symmetric spaces of higher rank and Euclidean buildings of dimension at least two (Rank Rigidity conjecture). In the smooth case, this is known and is the content of the Rank Rigidity theorem. An updated version of the proof of the latter theorem (in the smooth case) is presented in Chapter IV of the book. This chapter contains also a short introduction into the geometry of the unit tangent bundle of a Riemannian manifold and the basic facts about the geodesic flow. In an appendix by Misha Brin, a self-contained and short proof of the ergodicity of the geodesic flow of a compact Riemannian manifold of negative curvature is given. The proof is elementary and should be accessible to the non-specialist. Some of the essential features and problems of the ergodic theory of smooth dynamical systems are discussed, and the appendix can serve as an introduction into this theory.