Beyond Hyperbolicity

Beyond Hyperbolicity

Author: Mark Hagen

Publisher: Cambridge University Press

Published: 2019-07-11

Total Pages: 242

ISBN-13: 1108577350

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Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the universe of finitely generated groups contain examples that are not hyperbolic. Thus we wish to go 'beyond hyperbolicity' to find good generalisations that nevertheless permit similarly strong results. This book is the ideal resource for researchers wishing to contribute to this rich and active field. The first two parts are devoted to mini-courses and expository articles on coarse median spaces, semihyperbolicity, acylindrical hyperbolicity, Morse boundaries, and hierarchical hyperbolicity. These serve as an introduction for students and a reference for experts. The topics of the surveys (and more) re-appear in the research articles that make up Part III, presenting the latest results beyond hyperbolicity.


Book Synopsis Beyond Hyperbolicity by : Mark Hagen

Download or read book Beyond Hyperbolicity written by Mark Hagen and published by Cambridge University Press. This book was released on 2019-07-11 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the universe of finitely generated groups contain examples that are not hyperbolic. Thus we wish to go 'beyond hyperbolicity' to find good generalisations that nevertheless permit similarly strong results. This book is the ideal resource for researchers wishing to contribute to this rich and active field. The first two parts are devoted to mini-courses and expository articles on coarse median spaces, semihyperbolicity, acylindrical hyperbolicity, Morse boundaries, and hierarchical hyperbolicity. These serve as an introduction for students and a reference for experts. The topics of the surveys (and more) re-appear in the research articles that make up Part III, presenting the latest results beyond hyperbolicity.

Beyond Hyperbolicity

Beyond Hyperbolicity

Author: John Guckenheimer

Publisher:

Published: 1990

Total Pages: 34

ISBN-13:

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Book Synopsis Beyond Hyperbolicity by : John Guckenheimer

Download or read book Beyond Hyperbolicity written by John Guckenheimer and published by . This book was released on 1990 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics Beyond Uniform Hyperbolicity

Dynamics Beyond Uniform Hyperbolicity

Author: Christian Bonatti

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 390

ISBN-13: 3540268448

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What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n


Book Synopsis Dynamics Beyond Uniform Hyperbolicity by : Christian Bonatti

Download or read book Dynamics Beyond Uniform Hyperbolicity written by Christian Bonatti and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n

Beyond Partial Differential Equations

Beyond Partial Differential Equations

Author: Horst Reinhard Beyer

Publisher: Springer

Published: 2007-04-10

Total Pages: 291

ISBN-13: 3540711295

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This book introduces the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature.


Book Synopsis Beyond Partial Differential Equations by : Horst Reinhard Beyer

Download or read book Beyond Partial Differential Equations written by Horst Reinhard Beyer and published by Springer. This book was released on 2007-04-10 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature.

The Application of Hyperbolic Functions to Electrical Engineering Problems

The Application of Hyperbolic Functions to Electrical Engineering Problems

Author: Arthur Edwin Kennelly

Publisher:

Published: 1916

Total Pages: 326

ISBN-13:

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Book Synopsis The Application of Hyperbolic Functions to Electrical Engineering Problems by : Arthur Edwin Kennelly

Download or read book The Application of Hyperbolic Functions to Electrical Engineering Problems written by Arthur Edwin Kennelly and published by . This book was released on 1916 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tables of Complex Hyperbolic and Circular Functions

Tables of Complex Hyperbolic and Circular Functions

Author: Arthur Edwin Kennelly

Publisher:

Published: 1914

Total Pages: 272

ISBN-13:

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Book Synopsis Tables of Complex Hyperbolic and Circular Functions by : Arthur Edwin Kennelly

Download or read book Tables of Complex Hyperbolic and Circular Functions written by Arthur Edwin Kennelly and published by . This book was released on 1914 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics Beyond Uniform Hyperbolicity

Dynamics Beyond Uniform Hyperbolicity

Author: Christian Bonatti

Publisher:

Published: 2005

Total Pages: 384

ISBN-13:

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Book Synopsis Dynamics Beyond Uniform Hyperbolicity by : Christian Bonatti

Download or read book Dynamics Beyond Uniform Hyperbolicity written by Christian Bonatti and published by . This book was released on 2005 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete and Continuous Dynamical Systems

Discrete and Continuous Dynamical Systems

Author:

Publisher:

Published: 2008

Total Pages: 440

ISBN-13:

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Book Synopsis Discrete and Continuous Dynamical Systems by :

Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2008 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Crocheting Adventures with Hyperbolic Planes

Crocheting Adventures with Hyperbolic Planes

Author: Daina Taimina

Publisher: CRC Press

Published: 2018-02-19

Total Pages: 865

ISBN-13: 1351402196

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Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.


Book Synopsis Crocheting Adventures with Hyperbolic Planes by : Daina Taimina

Download or read book Crocheting Adventures with Hyperbolic Planes written by Daina Taimina and published by CRC Press. This book was released on 2018-02-19 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.

Proceedings of the International Congress of Mathematicians: Invited lectures

Proceedings of the International Congress of Mathematicians: Invited lectures

Author: Gerd Fischer

Publisher:

Published: 1998

Total Pages: 904

ISBN-13:

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Book Synopsis Proceedings of the International Congress of Mathematicians: Invited lectures by : Gerd Fischer

Download or read book Proceedings of the International Congress of Mathematicians: Invited lectures written by Gerd Fischer and published by . This book was released on 1998 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt: