Fuchsian groups, geodesic flows on surfaces of constant negative curvature and symbolic coding of geodesics. Svetlana Katok. Dedicated to the memory of my. Buy Fuchsian Groups (Chicago Lectures in Mathematics) by Svetlana Katok ( ISBN: ) from Amazon’s Book Store. Everyday low prices and free . Fuchsian Groups by Svetlana Katok, , available at Book Depository with free delivery worldwide.

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Fuchsian Groups by Svetlana Katok

This single location in Western Australia: There are no discussion topics on this book yet. Open to the public. The hyperbolic metric 1. You may purchase this title at these fine bookstores. These 2 locations in New South Wales: Geometry of Fuchsian groups 4.

Some Escher graphics gropus based on them for the disc model of hyperbolic geometry. You also may like to try some of these bookshopswhich may or may not sell this item. In this case, the group may be called the Fuchsian group of the surface.

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Connection with Riemann surfaces and homogeneous spaces Exercises for Chapter 3 4. The Dirichlet region 3. Lists with This Book.

This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments kaatok the field. To ask other readers questions about Fuchsian Groupsplease sign up.

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Commutative Semi-group Rings Robert Gilman. Arithmetic Fuchsian groups 5.

Fuchsian Groups

Indeed, even the modular group PSL 2, Zwhich is a Fuchsian group, does not act discontinuously on the real number line; it has accumulation points at the rational numbers. Cocompact Fuchsian groups 4. Definition of a fundamental region 3. Physical Description x, p.

Fuchsian group

Fuchsian groups generated by reflections 4. For more information, or to order this book, please visit https: Fuchsian Groups Svetlana Katok. The University of Sydney. Home Contact Us Help Free delivery worldwide. Criteria for arithmeticity 5. The modular group and its subgroups 5. Plane geometry Contents Machine derived contents note: In order to set up a list of libraries that you have access to, you must first login or sign up.


University of Chicago Press, c Since it is nowhere dense, this implies that any limit point is arbitrarily close to an open set that is not in the limit set. Although discontinuity and discreteness are equivalent in this case, this is not generally true for the case of an arbitrary group of conformal homeomorphisms acting on the full Riemann sphere as opposed to H.

Structure of a Dirichlet region 3. Events in Mathematics and Physics. The group PSL 2, R can be regarded as a group of isometries of the hyperbolic planeor conformal transformations of the unit disc, or conformal transformations of the upper half planeso a Fuchsian group can be regarded as a group acting on any of these spaces. Fuchsian groups of the first kind 4. Stable Homotopy and Generalized Homology J.