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9781470476151 Academic Inspection Copy

Geodesics in the Brownian Map: Strong Confluence and Geometric Structure

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Jason Miller, Statistical Laboratory, University of Cambridge, United Kingdom. Wei Qian, University of Hong Kong, People's Republic of China, and Univerite Paris-Saclay, Orsay, France
Chapters; 1. Introduction; 2. Preliminaries; 3. Close geodesics must intersect near their endpoints; 4. Finite number of geodesics; 5. Proof of strong confluence and topology of geodesics; 6. Exponent for disjoint geodesics from a point; 7. Completion of proofs of dimension upper bounds; 8. Points connected by 5, 7, and 8 geodesics
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