{"product_id":"renormalization-and-3manifolds-which-fiber-over-the-circle-9780691011530","title":"Renormalization and 3Manifolds which Fiber over","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eCurtis T. McMullen, Winner of the 1998 Fields Medal, International Congress of Mathematicians \"A comprehensive study of a theory which brings into parallel two recent and very deep theorems, involving geometry and dynamics. These are Thurston's theorem on the existence of hyperbolic metrics on three-manifolds which fiber over the circle with pseudo-Anosov monodromy, and Sullivan's theorem on the convergence of the renormalization map for real quadratic mappings... The book is very dense in results and the style is superb.\"--Mathematical Reviews\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1Introduction12Rigidity of hyperbolic manifolds113Three-manifolds which fiber over the circle414Quadratic maps and renormalization755Towers956Rigidity of towers1057Fixed points of renormalization1198Asymptotic structure in the Julia set1359Geometric limits in dynamics15110Conclusion175Appendix A. Quasiconformal maps and flows183Appendix B. Visual extension205Bibliography241Index251","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49526150496599,"sku":"9780691011530","price":72.25,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691011530.jpg?v=1731863139","url":"https:\/\/bookcurl.com\/products\/renormalization-and-3manifolds-which-fiber-over-the-circle-9780691011530","provider":"Book Curl","version":"1.0","type":"link"}