Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 By: Curtis T. McMullen Publisher: Princeton University Press Print ISBN: 9780691011530, 0691011532 eText ISBN: 9781400865178, 1400865174 Pages: 253 Copyright year: 1996 Format: PDF Available from $ 87.50 USD SKU 9781400865178 Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. Both subjects are studied via geometric limits and rigidity. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity. In complex dynamics, it motivates the construction of towers of quadratic-like maps, and leads to a quantitative proof of convergence of renormalization. Additional ISBNs 9780691011547, 9780691011530, 0691011540, 0691011532, 9780691011547, 0691011540 Ebooks here: https://ouo.io/VWWC3E
