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Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these sub...
Noncommutative Analysis, Operator Theory and Applications
This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.
Stochastic Processes, Physics and Geometry: New Interplays. II
This volume and Stochastic Processes, Physics and Geometry: New Interplays I present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are ...
XVIIth International Congress on Mathematical Physics
This is an in-depth study of not just about Tan Kah-kee, but also the making of a legend through his deeds, self-sacrifices, fortitude and foresight. This revised edition sheds new light on his political agonies in Mao's China over campaigns against capitalists and intellectuals.
Zoomland
Despite a variety of theoretical and practical undertakings, there is no coherent understanding of the concept of scale in digital history and humanities, and its potential is largely unexplored. A clearer picture of the whole spectrum is needed, from large to small, distant to close, global to local, general to specific, macro to micro, and the in-between levels. The book addresses these issues and sketches out the territory of Zoomland, at scale. Four regions and sixteen chapters are conceptually and symbolically depicted through three perspectives: bird's eye, overhead, and ground view. The variable-scale representation allows for exploratory paths covering areas such as: theoretical and ...
Aspects of Operator Algebras and Applications
The contents of this book cover K-theory for operator algebras, modular theory by example, modular theory for the Von Neumann algebras of local quantum physics, and much more.
Store-Operated Ca2+ Entry (SOCE) Pathways
This second edition of the book on Store-operated Ca2+ Entry Pathways has been updated with the newest discoveries that emerged in the field within the last five years. The crystal structure of the Ca2+ signaling core complex is described which adds to a new understanding of the molecular interactions involved. Each chapter has been revised and extended. The book retains its interdisciplinary approach and supplies biochemists, cell biologists and biophysicists as well as clinicians in immunology, neurology and cardiology with valuable information on Ca2+ signaling mechanisms, functions, dysfunctions and their consequences.
Controversy Mapping
As disputes concerning the environment, the economy, and pandemics occupy public debate, we need to learn to navigate matters of public concern when facts are in doubt and expertise is contested. Controversy Mapping is the first book to introduce readers to the observation and representation of contested issues on digital media. Drawing on actor-network theory and digital methods, Venturini and Munk outline the conceptual underpinnings and the many tools and techniques of controversy mapping. They review its history in science and technology studies, discuss its methodological potential, and unfold its political implications. Through a range of cases and examples, they demonstrate how to chart actors and issues using digital fieldwork and computational techniques. A preface by Richard Rogers and an interview with Bruno Latour are also included. A crucial field guide and hands-on companion for the digital age, Controversy Mapping is an indispensable resource for students and scholars of media and communication, as well as activists, journalists, citizens, and decision makers.
Analysis on Graphs and Its Applications
This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.
Fractal Geometry, Complex Dimensions and Zeta Functions
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.
