An Invitation to Hyperbolic Groups, Daniel Peter Groves

Автор: Ratcliffe
Название: Foundations of Hyperbolic Manifolds
ISBN: 0387331972 ISBN-13(EAN): 9780387331973
Издательство: Springer
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Описание: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.

Автор: Igor I. Smolyaninov
Название: Hyperbolic Metamaterials
ISBN: 1681749718 ISBN-13(EAN): 9781681749716
Издательство: Mare Nostrum (Eurospan)
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Описание: Hyperbolic metamaterials were originally introduced to overcome the diffraction limit of optical imaging. Soon thereafter it was realized that hyperbolic metamaterials demonstrate a number of novel phenomena resulting from the broadband singular behavior of their density of photonic states. These novel phenomena and applications include super resolution imaging, new stealth technologies, enhanced quantum-electrodynamic effects, thermal hyperconductivity, superconductivity, and interesting gravitation theory analogs. Here I review typical material systems, which exhibit hyperbolic behavior and outline important new applications of hyperbolic metamaterials, such as imaging experiments with plasmonic hyperbolic metamaterials and novel VCSEL geometries, in which the Bragg mirrors may be engineered in such a way that they exhibit hyperbolic properties in the long wavelength infrared range, so that they may be used to efficiently remove excess heat from the laser cavity. I will also discuss potential applications of self-assembled photonic hypercrystals. This system bypasses 3D nanofabrication issues, which typically limit hyperbolic metamaterial applications. Photonic hypercrystals combine the most interesting features of hyperbolic metamaterials and photonic crystals.

Автор: Michel Coornaert; Athanase Papadopoulos
Название: Symbolic Dynamics and Hyperbolic Groups
ISBN: 3540564993 ISBN-13(EAN): 9783540564997
Издательство: Springer
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Описание: This monograph elaborates on Gromov`s theory of hyperbolic groups and spaces in relation to symbolic dynamics. Particular attention is paid to the dynamical system defined by the action of a hyperbolic group on its boundary.

Автор: Michael Kapovich
Название: Hyperbolic Manifolds and Discrete Groups
ISBN: 0817649123 ISBN-13(EAN): 9780817649128
Издательство: Springer
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Описание: Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis.