{"product_id":"geometry-and-dynamics-in-gromov-hyperbolic-metri-with-an-emphasis-on-nonproper-settings-9781470434656","title":"Geometry and Dynamics in Gromov Hyperbolic Metri","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePresents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behaviour not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePreliminaries: Algebraic hyperbolic spaces\u003c\/li\u003e\n\u003cli\u003e$\\mathbb{R}$-trees, CAT(-1) spaces, and Gromov hyperbolic metric spaces\u003c\/li\u003e\n\u003cli\u003eMore about the geometry of hyperbolic metric spaces\u003c\/li\u003e\n\u003cli\u003eDiscreteness\u003c\/li\u003e\n\u003cli\u003eClassification of isometries and semigroups\u003c\/li\u003e\n\u003cli\u003eLimit sets\u003c\/li\u003e\n\u003cli\u003eThe Bishop-Jones theorem: The modified Poincare exponent\u003c\/li\u003e\n\u003cli\u003eGeneralization of the Bishop-Jones theorem\u003c\/li\u003e\n\u003cli\u003eExamples: Schottky products\u003c\/li\u003e\n\u003cli\u003eParabolic groups\u003c\/li\u003e\n\u003cli\u003eGeometrically finite and convex-cobounded groups\u003c\/li\u003e\n\u003cli\u003eCounterexamples\u003c\/li\u003e\n\u003cli\u003e$\\mathbb{R}$-trees and their isometry groups\u003c\/li\u003e\n\u003cli\u003ePatterson-Sullivan theory: Conformal and quasiconformal measures\u003c\/li\u003e\n\u003cli\u003ePatterson-Sullivan theorem for groups of divergence type\u003c\/li\u003e\n\u003cli\u003eQuasiconformal measures of geometrically finite groups\u003c\/li\u003e\n\u003cli\u003eOpen problems\u003c\/li\u003e\n\u003cli\u003eIndex of defined terms\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041326502231,"sku":"9781470434656","price":101.7,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470434656.jpg?v=1740182432","url":"https:\/\/bookcurl.com\/products\/geometry-and-dynamics-in-gromov-hyperbolic-metri-with-an-emphasis-on-nonproper-settings-9781470434656","provider":"Book Curl","version":"1.0","type":"link"}