Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Renormalization and 3-Manifolds Which Fiber Over the Circle (Am-142), Volume 142

Renormalization and 3-Manifolds Which Fiber Over the Circle (Am-142), Volume 142

McMullen, Curtis T.

Paperback

Series: Annals of Mathematics Studies, Book 142

General MathematicsGeometry

ISBN10: 0691011532
ISBN13: 9780691011530
Publisher: Princeton Univ Pr
Published: Jul 28 1996
Pages: 253
Weight: 1.22
Height: 0.90 Width: 6.36 Depth: 9.58
Language: English

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.

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