Titlebook: Selected Works of Oded Schramm; Itai Benjamini,Olle Häggström Book 2011 Springer Science+Business Media, LLC 2011 graph limits.history of

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书目名称Selected Works of Oded Schramm读者反馈学科排名

商店街

Decrepit

Book 2011Sensitivity, Random Walks and Graph Limits, Percolation, and finally Schramm-Loewner Evolution. An introduction by the Editors and a comprehensive bibliography of Schramm‘s publications complete the volume. The book will be of especial interest to researchers in probability and geometry, and in the history of these subjects..

Rct393

Hyperbolic and Parabolic Packings* hyperbolic, but not both. The new proof has the advantage of being applicable to packings of more general shapes. Another new result is that if . is CP hyperbolic and . is any simply connected proper subdomain of the plane, then there is a disk packing . with contacts graph . such that . is contained and locally finite in ..

动物

Embeddings of Gromov Hyperbolic Spacest an additive constant..Another embedding theorem states that any δ-hyperbolic metric space embeds isometrically into a complete geodesic δ-hyperbolic space..The relation of a Gromov hyperbolic space to its boundary is further investigated. One of the applications is a characterization of the hyperbolic plane up to rough quasi-isometries.

6Applepolish

Recurrence of Distributional Limits of Finite Planar Graphst depend on .. Then after passing to a subsequence, the limit exists, and is a random rooted graph .. We prove that with probability one . is recurrent. The proof involves the Circle Packing Theorem. The motivation for this work comes from the theory of random spherical triangulations.

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ROOF

Oded Schramm: From Circle Packing to SLEription referred to his Ph.D. thesis around the Koebe-Andreev-Thurston theorem and a discrete version of the Riemann mapping theorem, explained below. In a series of highly original papers, some joint with Zhen-Xu He, he created powerful new tools out of thin air, and provided the field with elegant

sterilization

Rigidity of Infinite (Circle) Packingstwo vertices in the nerve precisely when the corresponding sets of the packing intersect..The nerve of a circle packing and other well-behaved packings, on the sphere or in the plane, is a planar graph. It was an observation of Thurston [Th1, Chapter 1; 13, Th2] that Andreev’s theorem [An1, An2] imp

慷慨不好