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Geometry, Topology, and Dynamics in Negative Curvature

2016-01-21 Mathematics
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Release : 2016-01-21
Genre : Mathematics
Kind : eBook
Book Rating : 180/5 ( reviews)

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Book Synopsis Geometry, Topology, and Dynamics in Negative Curvature by : C. S. Aravinda

Download or read book Geometry, Topology, and Dynamics in Negative Curvature written by C. S. Aravinda. This book was released on 2016-01-21. Available in PDF, EPUB and Kindle. Book excerpt: The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.

Geometry, Topology, and Dynamics in Negative Curvature

2016-01-21 Mathematics
Download Geometry, Topology, and Dynamics in Negative Curvature PDF Online Free

Author :
Release : 2016-01-21
Genre : Mathematics
Kind : eBook
Book Rating : 00X/5 ( reviews)

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Book Synopsis Geometry, Topology, and Dynamics in Negative Curvature by : C. S. Aravinda

Download or read book Geometry, Topology, and Dynamics in Negative Curvature written by C. S. Aravinda. This book was released on 2016-01-21. Available in PDF, EPUB and Kindle. Book excerpt: Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

Geometry, Topology, and Dynamics in Negative Curvature

2016-01-27 Mathematics
Download Geometry, Topology, and Dynamics in Negative Curvature PDF Online Free

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Release : 2016-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 909/5 ( reviews)

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Book Synopsis Geometry, Topology, and Dynamics in Negative Curvature by : C. S. Aravinda

Download or read book Geometry, Topology, and Dynamics in Negative Curvature written by C. S. Aravinda. This book was released on 2016-01-27. Available in PDF, EPUB and Kindle. Book excerpt: The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.

Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

2014-07-17 Mathematics
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Release : 2014-07-17
Genre : Mathematics
Kind : eBook
Book Rating : 074/5 ( reviews)

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Book Synopsis Analytic and Probabilistic Approaches to Dynamics in Negative Curvature by : Françoise Dal'Bo

Download or read book Analytic and Probabilistic Approaches to Dynamics in Negative Curvature written by Françoise Dal'Bo. This book was released on 2014-07-17. Available in PDF, EPUB and Kindle. Book excerpt: The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions aim to give a self-contained introduction to the ideas behind the three different approaches to the investigation of hyperbolic dynamics. The first contribution focus on the convergence towards a Gaussian law of suitably normalized ergodic sums (Central Limit Theorem). The second one deals with Transfer Operators and the structure of their spectrum (Ruelle-Pollicott resonances), explaining the relation with the asymptotics of time correlation function and the periodic orbits of the dynamics.

Geometry, Topology, and Dynamics

1998 Mathematics
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Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 77X/5 ( reviews)

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Book Synopsis Geometry, Topology, and Dynamics by : François Lalonde

Download or read book Geometry, Topology, and Dynamics written by François Lalonde. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers written by leading experts. They are all clear, comprehensive, and origianl. The volume covers a complete range of exciting and new developments in symplectic and contact geometries.

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